neighborhood diversity

abbr: nd

tags: module

Definition: Vertices can be partitioned into $\mathrm{nd}$ parts, each consisting of only false or true twins.


Relations

OtherRelation fromRelation to
acyclic chromatic numberblueexclusionexclusion
admissibilityblueexclusionexclusion
arboricityblueexclusionexclusion
average degreeblueexclusionexclusion
average distanceredexclusionupper bound
bandwidthcyanunknown to HOPSexclusion
bipartiteblueunboundedexclusion
bipartite numberblueexclusionexclusion
bisection bandwidthblueexclusionexclusion
blockblueunboundedexclusion
book thicknessblueexclusionexclusion
boolean widthredexclusionupper bound
bounded componentscyanunknown to HOPSexclusion
bounded expansionblueexclusionavoids
boxicityredexclusionupper bound
branch widthblueexclusionexclusion
c-closureblueexclusionexclusion
carving-widthblueexclusionexclusion
chi-boundedredexclusionupper bound
chordalblueunboundedexclusion
chordalityredexclusionupper bound
chromatic numberblueexclusionexclusion
clique cover numberblueexclusionexclusion
clique-tree-widthredexclusionupper bound
clique-widthredexclusionupper bound
clustercyanunknown to HOPSexclusion
co-clustercyanunknown to HOPSexclusion
cographcyanunknown to HOPSexclusion
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 degreecyanunknown to HOPSexclusion
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 edgelessgreenupper boundexclusion
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 starscyanunknown to HOPSexclusion
domatic numberblueexclusionexclusion
domination numberblueexclusionexclusion
domino treewidthblueexclusionexclusion
edge clique cover numbergreenupper boundexclusion
edge connectivityblueexclusionexclusion
edge-cut widthblueexclusionexclusion
edge-treewidthblueexclusionexclusion
edgelessgreenupper boundavoids
excluded minorblueexclusionavoids
excluded planar minorcyanunknown to HOPSavoids
excluded top-minorblueexclusionavoids
feedback edge setblueexclusionexclusion
feedback vertex setblueexclusionexclusion
flip-widthredexclusionupper bound
forestblueunboundedexclusion
genusblueexclusionexclusion
gridblueunboundedexclusion
h-indexblueexclusionexclusion
intervalblueunboundedexclusion
iterated type partitionsredexclusionupper bound
linear clique-widthredexclusionupper bound
linear forestblueunboundedexclusion
linear NLC-widthredexclusionupper bound
linear rank-widthredexclusionupper bound
maximum cliqueblueexclusionexclusion
maximum degreeblueexclusionexclusion
maximum independent setblueexclusionexclusion
maximum induced matchingmagentaexclusionunknown to HOPS
maximum leaf numbercyanunknown to HOPSexclusion
maximum matchinggreenupper boundexclusion
maximum matching on bipartite graphsgreenupper boundexclusion
merge-widthredexclusionupper bound
mim-widthredexclusionupper bound
minimum degreeblueexclusionexclusion
mm-widthblueexclusionexclusion
modular-widthredexclusionupper bound
module-widthredexclusionupper bound
monadically dependentredexclusionupper bound
monadically stablemagentaexclusionunknown to HOPS
neighborhood diversityyellowequalequal
NLC-widthredexclusionupper bound
NLCT-widthredexclusionupper bound
nowhere densemagentaexclusionunknown to HOPS
odd cycle transversalblueexclusionexclusion
outerplanarcyanunknown to HOPSexclusion
overlap treewidthblueexclusionexclusion
pathblueunboundedexclusion
pathwidthblueexclusionexclusion
pathwidth+maxdegreeblueexclusionexclusion
perfectblueunboundedexclusion
planarblueunboundedexclusion
radius-inf flip-widthredexclusionupper bound
radius-r flip-widthredexclusionupper bound
rank-widthredexclusionupper bound
series-parallelgrayunknown to HOPSunknown to HOPS
shrub-depthredexclusionupper bound
sim-widthredexclusionupper bound
sizegreenupper boundexclusion
slim tree-cut widthblueexclusionexclusion
sparse twin-widthblueexclusionexclusion
stargreenupper boundexclusion
starscyanunknown to HOPSexclusion
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-widthredexclusionupper bound
vertex connectivitygrayunknown to HOPSunknown to HOPS
vertex covergreenupper boundexclusion
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