Lemke Graph
Author
Eric W. Weisstein
Title
Lemke Graph
Description
Lemke Graph
Category
Educational Materials
Keywords
URL
http://www.notebookarchive.org/2019-07-0z420tj/
DOI
https://notebookarchive.org/2019-07-0z420tj
Date Added
2019-07-02
Date Last Modified
2019-07-02
File Size
456.2 kilobytes
Supplements
Rights
Redistribution rights reserved
Download
Open in Wolfram Cloud
Lemke Graph
Lemke Graph
Author
Author
Eric W. Weisstein
July 15, 2018
July 15, 2018
©2018 Wolfram Research, Inc. except for portions noted otherwise
Sources
Sources
Construction
Construction
Square (GraphCartesianProductOfLemkeGraphs)
Square (GraphCartesianProductOfLemkeGraphs)
GraphData
GraphData
GraphDataString
GraphDataString
In[]:=
file=OpenWrite["~/lemke.m"]
Out[]=
OutputStream
 |  |
|
In[]:=
WriteString[file,GraphDataString[lsquared,"StandardName""GraphCartesianProductOfLemkeGraphs","Name""graph Cartesian product of Lemke graphs","TimeConstraint"10,DebugTrue]]
COMPUTING GraphCartesianProductOfLemkeGraphs
Starting main routine... (AbsoluteTime: 0.000123, Time: 0.000123, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.32)
CanonicalForm... (AbsoluteTime: 0.000338, Time: 0.000215, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.32)
Recognizing... (AbsoluteTime: 0.000732, Time: 0.000394, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.33)
Simple... (AbsoluteTime: 0.008136, Time: 0.007404, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.52)
Apices... (AbsoluteTime: 0.008333, Time: 0.000197, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.52)
AdjacencyMatrix... (AbsoluteTime: 0.010272, Time: 0.001939, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.52)
VertexConnectivity... (AbsoluteTime: 0.010647, Time: 0.000375, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.53)
CharacteristicPolynomial... (AbsoluteTime: 0.020486, Time: 0.009839, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.62)
Spectrum... (AbsoluteTime: 1.139296, Time: 1.118810, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.74)
CospectralGraphNames... (AbsoluteTime: 1.147853, Time: 0.008557, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.87)
Girth... (AbsoluteTime: 1.148058, Time: 0.000205, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.87)
CompleteBipartiteIndices... (AbsoluteTime: 1.157429, Time: 0.009371, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.87)
Connected... (AbsoluteTime: 1.157984, Time: 0.000555, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.88)
ConnectedComponents... (AbsoluteTime: 1.158169, Time: 0.000185, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.88)
Dimension... (AbsoluteTime: 1.158363, Time: 0.000194, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.88)
UnitDistance... (AbsoluteTime: 1.158524, Time: 0.000161, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.88)
DistinguishingNumber... (AbsoluteTime: 1.160416, Time: 0.001892, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.88)
EdgeConnectivity... (AbsoluteTime: 1.160745, Time: 0.000329, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.88)
IncidenceMatrix... (AbsoluteTime: 1.161405, Time: 0.000660, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.88)
MaximalIndependentVertexSets... (AbsoluteTime: 1.161700, Time: 0.000295, MaxMemoryUsed: 1888.36, MemoryInUse: 1289.99)
MaximalIndependentVertexSet... (AbsoluteTime: 3.891645, Time: 2.729945, MaxMemoryUsed: 1888.36, MemoryInUse: 1487.52)
MaximumIndependentVertexSets... (AbsoluteTime: 3.891897, Time: 0.000252, MaxMemoryUsed: 1888.36, MemoryInUse: 1487.52)
IndependentVertexSets... (AbsoluteTime: 4.552275, Time: 0.660378, MaxMemoryUsed: 1888.36, MemoryInUse: 1494.29)
MaximalIndependentEdgeSets... (AbsoluteTime: 14.828291, Time: 10.276016, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.29)
MaximumIndependentEdgeSets... (AbsoluteTime: 58.277271, Time: 43.448980, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.29)
MaximumIndependentEdgeSet... (AbsoluteTime: 118.279302, Time: 60.002031, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.29)
MaximalIndependentEdgeSet... (AbsoluteTime: 178.280789, Time: 60.001487, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.29)
MatchingNumber... (AbsoluteTime: 238.281600, Time: 60.000811, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.29)
PerfectMatching... (AbsoluteTime: 238.285999, Time: 0.004399, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.29)
MaximalCliques... (AbsoluteTime: 238.286343, Time: 0.000344, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.29)
MaximumCliques... (AbsoluteTime: 238.287851, Time: 0.001508, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.3)
CliqueNumber... (AbsoluteTime: 238.288204, Time: 0.000353, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.31)
Cliques... (AbsoluteTime: 238.288414, Time: 0.000210, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.31)
MinimumCoveringsByMaximalCliques... (AbsoluteTime: 238.290306, Time: 0.001892, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.33)
ConnectedInducedSubgraphs... (AbsoluteTime: 238.290576, Time: 0.000270, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.33)
ConnectedInducedSubgraphPolynomial... (AbsoluteTime: 238.290821, Time: 0.000245, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.33)
VertexCover... (AbsoluteTime: 238.291061, Time: 0.000240, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.33)
EdgeCovers... (AbsoluteTime: 238.291427, Time: 0.000366, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.33)
EdgeCover... (AbsoluteTime: 238.291946, Time: 0.000519, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.33)
IndependencePolynomial... (AbsoluteTime: 238.331381, Time: 0.039435, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.39)
IdiosyncraticPolynomial... (AbsoluteTime: 255.548117, Time: 17.216736, MaxMemoryUsed: 5494.28, MemoryInUse: 1494.43)
MatchingGeneratingPolynomial... (AbsoluteTime: 315.588369, Time: 60.040252, MaxMemoryUsed: 5494.28, MemoryInUse: 1503.48)
ChromaticInvariant... (AbsoluteTime: 380.797160, Time: 65.208791, MaxMemoryUsed: 5494.28, MemoryInUse: 1503.51)
CochromaticGraphNames... (AbsoluteTime: 380.797511, Time: 0.000351, MaxMemoryUsed: 5494.28, MemoryInUse: 1503.51)
DistanceMatrix... (AbsoluteTime: 381.141579, Time: 0.344068, MaxMemoryUsed: 5494.28, MemoryInUse: 1503.91)
Eccentricities... (AbsoluteTime: 381.142092, Time: 0.000513, MaxMemoryUsed: 5494.28, MemoryInUse: 1503.95)
Center... (AbsoluteTime: 381.324392, Time: 0.182300, MaxMemoryUsed: 5494.28, MemoryInUse: 1503.95)
Periphery... (AbsoluteTime: 381.324870, Time: 0.000478, MaxMemoryUsed: 5494.28, MemoryInUse: 1503.95)
EulerianCycles... (AbsoluteTime: 381.325270, Time: 0.000400, MaxMemoryUsed: 5494.28, MemoryInUse: 1503.95)
HamiltonianCycles... (AbsoluteTime: 381.325471, Time: 0.000201, MaxMemoryUsed: 5494.28, MemoryInUse: 1503.95)
HamiltonianCycle... (AbsoluteTime: 390.764473, Time: 9.439002, MaxMemoryUsed: 5555.81, MemoryInUse: 1503.95)
Hamiltonian... (AbsoluteTime: 390.788347, Time: 0.023874, MaxMemoryUsed: 5555.81, MemoryInUse: 1503.95)
Antiprism... (AbsoluteTime: 390.788638, Time: 0.000291, MaxMemoryUsed: 5555.81, MemoryInUse: 1503.95)
MaximallyNonhamiltonian... (AbsoluteTime: 390.788840, Time: 0.000202, MaxMemoryUsed: 5555.81, MemoryInUse: 1503.95)
HamiltonianWalks... (AbsoluteTime: 390.789000, Time: 0.000160, MaxMemoryUsed: 5555.81, MemoryInUse: 1503.95)
AlmostHamiltonian... (AbsoluteTime: 515.574722, Time: 124.785722, MaxMemoryUsed: 5555.81, MemoryInUse: 1503.96)
Bridges... (AbsoluteTime: 515.574977, Time: 0.000255, MaxMemoryUsed: 5555.81, MemoryInUse: 1503.96)
Leaves... (AbsoluteTime: 515.585222, Time: 0.010245, MaxMemoryUsed: 5555.81, MemoryInUse: 1503.96)
BurningNumber... (AbsoluteTime: 515.585505, Time: 0.000283, MaxMemoryUsed: 5555.81, MemoryInUse: 1503.96)
Connected... (AbsoluteTime: 520.934621, Time: 5.349116, MaxMemoryUsed: 5555.81, MemoryInUse: 1503.98)
Bipartite... (AbsoluteTime: 520.934895, Time: 0.000274, MaxMemoryUsed: 5555.81, MemoryInUse: 1503.98)
MinimumVertexColoring: Combinatorica... (AbsoluteTime: 520.935405, Time: 0.000510, MaxMemoryUsed: 5555.81, MemoryInUse: 1503.98)
MinimumWeightFractionalColoring via Trick...
(AbsoluteTime: 521.073897, Time: 0.138492, MaxMemoryUsed: 5555.81, MemoryInUse: 1503.99)
MinimumWeightFractionalColoring via Static...
(AbsoluteTime: 581.260294, Time: 60.186397, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.12)
MinimumWeightFractionalEdgeColoring via Trick...
(AbsoluteTime: 581.266824, Time: 0.006530, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.12)
MinimumWeightFractionalEdgeColoring via Static...
(AbsoluteTime: 609.034904, Time: 27.768080, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.12)
Planar... (AbsoluteTime: 636.593641, Time: 27.558737, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.12)
Matchstick... (AbsoluteTime: 636.593940, Time: 0.000299, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.12)
EdgeChromaticNumber... (AbsoluteTime: 636.594096, Time: 0.000156, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.12)
EdgeChromaticNumber via Combinatorica...
(AbsoluteTime: 636.594358, Time: 0.000262, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.12)
MinimumEdgeColoring... (AbsoluteTime: 696.595271, Time: 60.000913, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.12)
MinimumEdgeColoring: Method -> Brelaz ...
(AbsoluteTime: 696.595537, Time: 0.000266, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.12)
MinimumEdgeColoring: Method -> Blossom...
(AbsoluteTime: 696.629379, Time: 0.033842, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.13)
MinimumEdgeColoring: Method -> FindIndependentEdgeSet...
(AbsoluteTime: 696.651772, Time: 0.022393, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.14)
FractionalEdgeChromaticNumber via Trick...
(AbsoluteTime: 696.660127, Time: 0.008355, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.14)
IrredundantSets... (AbsoluteTime: 696.660405, Time: 0.000278, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.14)
EdgeChromaticNumber... (AbsoluteTime: 696.660912, Time: 0.000507, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.15)
BetweennessCentralities (AbsoluteTime: 696.661072, Time: 0.000160, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.15)
ClosenessCentralities (AbsoluteTime: 697.580967, Time: 0.919895, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.16)
EccentricityCentralities (AbsoluteTime: 697.581804, Time: 0.000837, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.16)
EdgeBetweennessCentralities (AbsoluteTime: 697.582505, Time: 0.000701, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.16)
EigenvectorCentralities (AbsoluteTime: 701.365357, Time: 3.782852, MaxMemoryUsed: 5555.81, MemoryInUse: 1504.17)
HITSCentralities (AbsoluteTime: 744.758095, Time: 43.392738, MaxMemoryUsed: 5555.81, MemoryInUse: 1505.76)
KatzCentralities (AbsoluteTime: 804.760549, Time: 60.002454, MaxMemoryUsed: 5555.81, MemoryInUse: 1506.72)
PageRankCentralities (AbsoluteTime: 818.147669, Time: 13.387120, MaxMemoryUsed: 5555.81, MemoryInUse: 1518.29)
LinkRankCentralities (AbsoluteTime: 836.128416, Time: 17.980747, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.8)
RadialityCentralities (AbsoluteTime: 836.466636, Time: 0.338220, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.82)
Median... (AbsoluteTime: 836.467710, Time: 0.001074, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.82)
Polyhedral... (AbsoluteTime: 836.481233, Time: 0.013523, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.82)
Platonic... (AbsoluteTime: 836.481476, Time: 0.000243, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.82)
Archimedean... (AbsoluteTime: 836.481639, Time: 0.000163, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.82)
CriticalNonplanar... (AbsoluteTime: 836.481805, Time: 0.000166, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.82)
Prism... (AbsoluteTime: 836.484186, Time: 0.002381, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.82)
SigmaPolynomial... (AbsoluteTime: 836.484391, Time: 0.000205, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.82)
Tree... (AbsoluteTime: 836.484555, Time: 0.000164, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.82)
Genus... (AbsoluteTime: 836.484720, Time: 0.000165, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.82)
CirculantIndices... (AbsoluteTime: 836.484866, Time: 0.000146, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.82)
Cycles... (AbsoluteTime: 836.634962, Time: 0.150096, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.84)
Cycles via FindCycle[..., Infinity, All]
(AbsoluteTime: 836.635261, Time: 0.000299, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.84)
Cycles via FindGraphCycle Method -> FindPath...
(AbsoluteTime: 842.154940, Time: 5.519679, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.84)
Circumference... (AbsoluteTime: 902.388209, Time: 60.233269, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.9)
Triameter... (AbsoluteTime: 902.388477, Time: 0.000268, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.9)
CycleSignature... (AbsoluteTime: 902.573055, Time: 0.184578, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.9)
CyclePolynomial... (AbsoluteTime: 902.584636, Time: 0.011581, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.9)
LongestCycles... (AbsoluteTime: 962.586095, Time: 60.001459, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.9)
LongestCycle... (AbsoluteTime: 1022.587325, Time: 60.001230, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.9)
Pancyclic... (AbsoluteTime: 1082.588003, Time: 60.000678, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.9)
Paths... (AbsoluteTime: 1083.434471, Time: 0.846468, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.94)
PathPolynomial... (AbsoluteTime: 1143.437061, Time: 60.002590, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.94)
PartialPaths... (AbsoluteTime: 1203.438667, Time: 60.001606, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.93)
Chords... (AbsoluteTime: 1205.170723, Time: 1.732056, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.94)
Chord... (AbsoluteTime: 1205.170984, Time: 0.000261, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.94)
ChordlessCycles... (AbsoluteTime: 1205.217364, Time: 0.046380, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.98)
ChordlessCycle... (AbsoluteTime: 1205.217613, Time: 0.000249, MaxMemoryUsed: 5555.81, MemoryInUse: 1520.98)
OddChordlessCycles... (AbsoluteTime: 1205.224466, Time: 0.006853, MaxMemoryUsed: 5555.81, MemoryInUse: 1521.05)
OddChordlessCycle... (AbsoluteTime: 1233.111390, Time: 27.886924, MaxMemoryUsed: 5555.81, MemoryInUse: 1521.25)
ComplementOddChordlessCycles... (AbsoluteTime: 1233.120758, Time: 0.009368, MaxMemoryUsed: 5555.81, MemoryInUse: 1521.3)
ComplementOddChordlessCycle... (AbsoluteTime: 1259.950694, Time: 26.829936, MaxMemoryUsed: 5555.81, MemoryInUse: 1628.88)
Perfect... (AbsoluteTime: 1284.933645, Time: 24.982951, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.08)
Bandwidth... (AbsoluteTime: 1284.933912, Time: 0.000267, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.08)
Permutations emitted a message; probably number of vertices is too large to generate Permutations. Consider using Method -> "Parallel"
Skewness... (AbsoluteTime: 1284.939806, Time: 0.005894, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.1)
Automorphisms... (AbsoluteTime: 1344.940484, Time: 60.000678, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.13)
AutomorphismsCount... (AbsoluteTime: 1344.948018, Time: 0.007534, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.21)
Skipping AdjacencyMatrices since AdjacencyMatrixCount is too large
(AbsoluteTime: 1344.949076, Time: 0.001058, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.22)
DeterminedByResistance... (AbsoluteTime: 1344.949277, Time: 0.000201, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.22)
DetourMatrix... (AbsoluteTime: 1344.949445, Time: 0.000168, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.22)
HamiltonianPaths... (AbsoluteTime: 1344.949627, Time: 0.000182, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.22)
DetourIndex... (AbsoluteTime: 1404.950326, Time: 60.000699, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.23)
DetourPolynomial... (AbsoluteTime: 1404.950587, Time: 0.000261, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.23)
DistancePolynomial... (AbsoluteTime: 1404.950748, Time: 0.000161, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.23)
HararyIndex... (AbsoluteTime: 1406.048988, Time: 1.098240, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.23)
MolecularTopologicalIndex... (AbsoluteTime: 1406.051733, Time: 0.002745, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.23)
TopologicalIndex... (AbsoluteTime: 1406.052016, Time: 0.000283, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.23)
LaplacianMatrix... (AbsoluteTime: 1406.059213, Time: 0.007197, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.23)
LaplacianPolynomial... (AbsoluteTime: 1406.060318, Time: 0.001105, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.25)
LaplacianSpectrum... (AbsoluteTime: 1407.191268, Time: 1.130950, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.26)
GraphDual... (AbsoluteTime: 1407.236122, Time: 0.044854, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.35)
GridIndices... (AbsoluteTime: 1407.236366, Time: 0.000244, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.35)
Line... (AbsoluteTime: 1407.237371, Time: 0.001005, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.35)
ClawFree... (AbsoluteTime: 1407.237702, Time: 0.000331, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.35)
BipartiteDoubleGraphName... (AbsoluteTime: 1407.682530, Time: 0.444828, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.35)
LineGraph... (AbsoluteTime: 1407.837148, Time: 0.154618, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.31)
LocalGraph... (AbsoluteTime: 1407.838536, Time: 0.001388, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.35)
EdgeTransitive... (AbsoluteTime: 1407.839857, Time: 0.001321, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.35)
GeneralizedPetersen... (AbsoluteTime: 1407.840583, Time: 0.000726, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.35)
NormalizedLaplacianMatrix... (AbsoluteTime: 1407.841902, Time: 0.001319, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.35)
ResistanceMatrix... (AbsoluteTime: 1407.850628, Time: 0.008726, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.43)
CoresistanceGraphNames... (AbsoluteTime: 1407.952362, Time: 0.101734, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
Toroidal... (AbsoluteTime: 1408.364969, Time: 0.412607, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
Biconnected... (AbsoluteTime: 1408.365455, Time: 0.000486, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
RegularParameters... (AbsoluteTime: 1408.365735, Time: 0.000280, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
VertexTransitive... (AbsoluteTime: 1408.365906, Time: 0.000171, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
ArcTransitive... (AbsoluteTime: 1408.366483, Time: 0.000577, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
BalabanIndex... (AbsoluteTime: 1408.366807, Time: 0.000324, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
Cactus... (AbsoluteTime: 1408.372182, Time: 0.005375, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
Caterpillar... (AbsoluteTime: 1408.372766, Time: 0.000584, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
Circulant... (AbsoluteTime: 1408.372932, Time: 0.000166, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
Class1... (AbsoluteTime: 1408.373115, Time: 0.000183, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
CocktailPartyGraph... (AbsoluteTime: 1408.373277, Time: 0.000162, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
ComplementGraph... (AbsoluteTime: 1408.373431, Time: 0.000154, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
Complete... (AbsoluteTime: 1408.374578, Time: 0.001147, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
Conference... (AbsoluteTime: 1408.374777, Time: 0.000199, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
CrownGraph... (AbsoluteTime: 1408.375005, Time: 0.000228, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
Cyclic... (AbsoluteTime: 1408.375169, Time: 0.000164, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
DistanceRegular... (AbsoluteTime: 1408.375325, Time: 0.000156, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.7)
Eulerian... (AbsoluteTime: 1409.517471, Time: 1.142146, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.77)
FaceCount... (AbsoluteTime: 1409.517743, Time: 0.000272, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.77)
Faces... (AbsoluteTime: 1409.517904, Time: 0.000161, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.77)
GeneralizedPetersen... (AbsoluteTime: 1409.518070, Time: 0.000166, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.77)
Haar... (AbsoluteTime: 1409.518218, Time: 0.000148, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.77)
HamiltonConnected... (AbsoluteTime: 1409.518360, Time: 0.000142, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.77)
HamiltonDecomposable... (AbsoluteTime: 1415.579996, Time: 6.061636, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.81)
HamiltonLaceable... (AbsoluteTime: 1415.580263, Time: 0.000267, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.82)
Hypercube... (AbsoluteTime: 1415.580431, Time: 0.000168, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.82)
Hypohamiltonian... (AbsoluteTime: 1415.580583, Time: 0.000152, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.82)
Hypotraceable... (AbsoluteTime: 1415.580749, Time: 0.000166, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.82)
KirchhoffIndex... (AbsoluteTime: 1415.580904, Time: 0.000155, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.82)
KirchhoffSumIndex... (AbsoluteTime: 1415.583536, Time: 0.002632, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.82)
Ladder... (AbsoluteTime: 1415.587894, Time: 0.004358, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.82)
LCF... (AbsoluteTime: 1415.588064, Time: 0.000170, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.82)
Lobster... (AbsoluteTime: 1415.588214, Time: 0.000150, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.82)
Nuciferous... (AbsoluteTime: 1415.588359, Time: 0.000145, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.82)
Odd... (AbsoluteTime: 1415.653963, Time: 0.065604, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.84)
Ore... (AbsoluteTime: 1415.654207, Time: 0.000244, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.84)
Path... (AbsoluteTime: 1415.669701, Time: 0.015494, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.82)
Pseudoforest... (AbsoluteTime: 1415.669940, Time: 0.000239, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.82)
Pseudotree... (AbsoluteTime: 1415.671252, Time: 0.001312, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.82)
SelfComplementaryGraphQ... (AbsoluteTime: 1415.672121, Time: 0.000869, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.83)
Snark... (AbsoluteTime: 1415.672341, Time: 0.000220, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.83)
SpanningTreeCount... (AbsoluteTime: 1415.672500, Time: 0.000159, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.83)
SpanningTree... (AbsoluteTime: 1415.677300, Time: 0.004800, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.83)
SpiderGraphQ... (AbsoluteTime: 1415.677948, Time: 0.000648, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.84)
Star (AbsoluteTime: 1415.678121, Time: 0.000173, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.84)
StronglyPerfect (AbsoluteTime: 1415.678287, Time: 0.000166, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.84)
WeaklyRegular... (AbsoluteTime: 1415.678684, Time: 0.000397, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.84)
WeaklyPerfect... (AbsoluteTime: 1415.678846, Time: 0.000162, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.84)
WellCovered... (AbsoluteTime: 1415.678997, Time: 0.000151, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.84)
Wheel... (AbsoluteTime: 1415.917677, Time: 0.238680, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.84)
WienerIndex... (AbsoluteTime: 1415.917936, Time: 0.000259, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.84)
WienerSumIndex... (AbsoluteTime: 1415.918199, Time: 0.000263, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.84)
ZeroSymmetric... (AbsoluteTime: 1415.931974, Time: 0.013775, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.84)
ZeroTwo... (AbsoluteTime: 1415.932201, Time: 0.000227, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.84)
Embeddings... (AbsoluteTime: 1415.938742, Time: 0.006541, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.87)
Generating string... (AbsoluteTime: 1415.994567, Time: 0.055825, MaxMemoryUsed: 5628.88, MemoryInUse: 1629.9)
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/Users/eww/lemke.m
Cite this as: Eric W. Weisstein, "Lemke Graph" from the Notebook Archive (2018), https://notebookarchive.org/2019-07-0z420tj
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