Sciweavers

205 search results - page 2 / 41
» Pruning 2-Connected Graphs
Sort
View
ENDM
2002
97views more  ENDM 2002»
14 years 11 months ago
Traceability in Small Claw-Free Graphs
We prove that a claw-free, 2-connected graph with fewer than 18 vertices is traceable, and we determine all non-traceable, claw-free, 2-connected graphs with exactly 18 vertices an...
John M. Harris, Michael J. Mossinghoff
LMCS
2006
119views more  LMCS 2006»
14 years 11 months ago
The monadic second-order logic of graphs XVI : Canonical graph decompositions
This article establishes that the split decomposition of graphs introduced by Cunnigham, is definable in Monadic Second-Order Logic.This result is actually an instance of a more ge...
Bruno Courcelle
ENDM
2006
75views more  ENDM 2006»
14 years 11 months ago
The structure and unlabelled enumeration of toroidal graphs with no K3, 3's
We characterize the toroidal graphs with no K3,3-subdivisions as canonical compositions in which 2-pole planar networks are substituted for the edges of non-planar cores. This str...
Andrei Gagarin, Gilbert Labelle, Pierre Leroux
DAM
2002
76views more  DAM 2002»
14 years 11 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
GC
2010
Springer
14 years 9 months ago
Enumerative Properties of Rooted Circuit Maps
In 1966 Barnette introduced a set of graphs, called circuit graphs, which are obtained from 3-connected planar graphs by deleting a vertex. Circuit graphs and 3-connected planar g...
Zhicheng Gao, Han Ren