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» Connectivity of addable graph classes
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86
Voted
DAM
2002
76views more  DAM 2002»
15 years 18 days ago
Block duplicate graphs and a hierarchy of chordal graphs
A block graph is a graph whose blocks are cliques. A block duplicate (BD) graph is a graph obtained by adding true twins (i.e., adjacent vertices with the same closed neighborhood...
Martin Charles Golumbic, Uri N. Peled
109
Voted
DM
2002
97views more  DM 2002»
15 years 17 days ago
Resonance graphs of catacondensed even ring systems are median
Let G be a planar embedded 2-connected graph. Then the vertices of its resonance graph R(G) are the 1-factors of G, two 1-factors being adjacent whenever their symmetric differenc...
Sandi Klavzar, Petra Zigert, Gunnar Brinkmann
FSTTCS
2010
Springer
14 years 10 months ago
The effect of girth on the kernelization complexity of Connected Dominating Set
In the Connected Dominating Set problem we are given as input a graph G and a positive integer k, and are asked if there is a set S of at most k vertices of G such that S is a dom...
Neeldhara Misra, Geevarghese Philip, Venkatesh Ram...
110
Voted
IPL
2010
160views more  IPL 2010»
14 years 11 months ago
Antimagic labeling and canonical decomposition of graphs
An antimagic labeling of a connected graph with m edges is an injective assignment of labels from {1, . . . , m} to the edges such that the sums of incident labels are distinct at...
Michael D. Barrus
99
Voted
DM
2002
88views more  DM 2002»
15 years 18 days ago
Tutte polynomial expansions for 2-separable graphs
Let ^G be a graph obtained from a graph G with no loops or coloops by replacing each edge e = uw of G by a connected graph He that has only the vertices u and w in common with the...
Douglas R. Woodall