NDLI: Cycle Extendability and Hamiltonian Cycles in Chordal Graph Classes

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Sritharan, R. Abueida, Atif
Copyright Year	2006
Abstract	A cycle C in a graph is extendable if there exists a cycle ${C^{\prime}}$ such that $V(C) \subseteq V({C^{\prime}})$ and $\mid V({C^{\prime}}) \mid = \mid V(C) \mid + 1$. A graph is cycle extendable if every nonHamiltonian cycle in the graph is extendable. An unresolved question is whether or not every Hamiltonian chordal graph is cycle extendable. We show that Hamiltonian graphs in classes such as interval, split, and in some subclasses of strongly chordal graphs, are cycle extendable. We also address efficiently finding a Hamilton cycle in some cases. A unifying theme to our approach is the use of appropriate vertex elimination orders.
Starting Page	669
Ending Page	681
Page Count	13
File Format	PDF
ISSN	08954801
DOI	10.1137/S0895480104441267
e-ISSN	10957146
Journal	SIAM Journal on Discrete Mathematics (SJDMEC)
Issue Number	3
Volume Number	20
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-09-15
Access Restriction	Subscribed
Subject Keyword	extendability chordal graph cycle Hamiltonian Paths and cycles
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Cycle Extendability and Hamiltonian Cycles in Chordal Graph Classes