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DAM
2002
76views more  DAM 2002»
13 years 5 months 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
DM
2002
97views more  DM 2002»
13 years 5 months 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
13 years 3 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...
IPL
2010
160views more  IPL 2010»
13 years 3 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
DM
2002
88views more  DM 2002»
13 years 5 months 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