maximum independent set

functionally equivalent to: bipartite number

providers: ISGCI

Definition: Is the cardinality of a maximum vertex set such that no pair of vertices in the set are connected by an edge.


Relations

OtherRelation fromRelation to
acyclic chromatic numberblueexclusionexclusion
admissibilityblueexclusionexclusion
arboricityblueexclusionexclusion
average degreeblueexclusionexclusion
average distanceredexclusionupper bound
bandwidthcyanunknown to HOPSexclusion
bipartiteblueunboundedexclusion
bipartite numberyellowupper boundupper bound
bisection bandwidthcyanunknown to HOPSexclusion
blockblueunboundedexclusion
book thicknessblueexclusionexclusion
boolean widthblueexclusionexclusion
bounded componentsblueexclusionexclusion
bounded expansionblueexclusionavoids
boxicityblueexclusionexclusion
branch widthblueexclusionexclusion
c-closureblueexclusionexclusion
carving-widthblueexclusionexclusion
chi-boundedmagentaexclusionunknown to HOPS
chordalblueunboundedexclusion
chordalityblueexclusionexclusion
chromatic numberblueexclusionexclusion
clique cover numbergreenupper boundexclusion
clique-tree-widthblueexclusionexclusion
clique-widthblueexclusionexclusion
clusterblueunboundedexclusion
co-clusterblueunboundedexclusion
cographblueunboundedexclusion
completegreenupper boundexclusion
connectedblueexclusionavoids
contraction complexityblueexclusionexclusion
cutwidthblueexclusionexclusion
cyclecyanunknown to HOPSexclusion
cyclescyanunknown to HOPSexclusion
d-admissibilitymagentaexclusionunknown to HOPS
d-path-freeblueexclusionexclusion
degeneracyblueexclusionexclusion
degree treewidthblueexclusionexclusion
diameterredexclusionupper bound
diameter+max degreeblueexclusionexclusion
distance to bipartiteblueexclusionexclusion
distance to blockblueexclusionexclusion
distance to bounded componentsblueexclusionexclusion
distance to chordalblueexclusionexclusion
distance to clusterblueexclusionexclusion
distance to co-clusterblueexclusionexclusion
distance to cographblueexclusionexclusion
distance to completegreenupper boundexclusion
distance to edgelessblueexclusionexclusion
distance to forestblueexclusionexclusion
distance to intervalblueexclusionexclusion
distance to linear forestblueexclusionexclusion
distance to maximum degreeblueexclusionexclusion
distance to outerplanarblueexclusionexclusion
distance to perfectblueexclusionexclusion
distance to planarblueexclusionexclusion
distance to starsblueexclusionexclusion
domatic numberblueexclusionexclusion
domination numberredexclusionupper bound
domino treewidthblueexclusionexclusion
edge clique cover numberblueexclusionexclusion
edge connectivityblueexclusionexclusion
edge-cut widthblueexclusionexclusion
edge-treewidthblueexclusionexclusion
edgelessblueexclusionavoids
excluded minorblueexclusionavoids
excluded planar minorcyanunknown to HOPSavoids
excluded top-minorblueexclusionavoids
feedback edge setblueexclusionexclusion
feedback vertex setblueexclusionexclusion
flip-widthmagentaexclusionunknown to HOPS
forestblueunboundedexclusion
genusblueexclusionexclusion
gridblueunboundedexclusion
h-indexblueexclusionexclusion
intervalblueunboundedexclusion
iterated type partitionsblueexclusionexclusion
linear clique-widthblueexclusionexclusion
linear forestblueunboundedexclusion
linear NLC-widthblueexclusionexclusion
linear rank-widthblueexclusionexclusion
maximum cliqueblueexclusionexclusion
maximum degreeblueexclusionexclusion
maximum independent setyellowequalequal
maximum induced matchingredexclusionupper bound
maximum leaf numbercyanunknown to HOPSexclusion
maximum matchingblueexclusionexclusion
maximum matching on bipartite graphsblueexclusionexclusion
merge-widthmagentaexclusionunknown to HOPS
mim-widthmagentaexclusionunknown to HOPS
minimum degreeblueexclusionexclusion
mm-widthblueexclusionexclusion
modular-widthblueexclusionexclusion
module-widthblueexclusionexclusion
monadically dependentmagentaexclusionunknown to HOPS
monadically stablemagentaexclusionunknown to HOPS
neighborhood diversityblueexclusionexclusion
NLC-widthblueexclusionexclusion
NLCT-widthblueexclusionexclusion
nowhere densemagentaexclusionunknown to HOPS
odd cycle transversalblueexclusionexclusion
outerplanarcyanunknown to HOPSexclusion
overlap treewidthblueexclusionexclusion
pathblueunboundedexclusion
pathwidthblueexclusionexclusion
pathwidth+maxdegreeblueexclusionexclusion
perfectblueunboundedexclusion
planarblueunboundedexclusion
radius-inf flip-widthblueexclusionexclusion
radius-r flip-widthmagentaexclusionunknown to HOPS
rank-widthblueexclusionexclusion
series-parallelgrayunknown to HOPSunknown to HOPS
shrub-depthblueexclusionexclusion
sim-widthmagentaexclusionunknown to HOPS
sizegreenupper boundexclusion
slim tree-cut widthblueexclusionexclusion
sparse twin-widthblueexclusionexclusion
starcyanunknown to HOPSexclusion
starsblueunboundedexclusion
strong coloring numberblueexclusionexclusion
strong d-coloring numbermagentaexclusionunknown to HOPS
strong inf-coloring numberblueexclusionexclusion
topological bandwidthcyanunknown to HOPSexclusion
treeblueunboundedexclusion
tree-cut widthblueexclusionexclusion
tree-independence numbermagentaexclusionunknown to HOPS
tree-partition-widthblueexclusionexclusion
treebandwidthblueexclusionexclusion
treedepthblueexclusionexclusion
treelengthredexclusionupper bound
treespanblueexclusionexclusion
treewidthblueexclusionexclusion
twin-cover numberblueexclusionexclusion
twin-widthblueexclusionexclusion
vertex connectivitygrayunknown to HOPSunknown to HOPS
vertex coverblueexclusionexclusion
vertex integrityblueexclusionexclusion
weak coloring numberblueexclusionexclusion
weak d-coloring numbermagentaexclusionunknown to HOPS
weak inf-coloring numberblueexclusionexclusion
weakly sparsemagentaexclusionunknown to HOPS
weakly sparse and merge widthblueexclusionexclusion

Results