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» Pancyclicity in claw-free graphs
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95
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ARSCOM
2006
72views more  ARSCOM 2006»
15 years 1 months ago
A Sufficient Condition for Quasi-Claw-Free Hamiltonian Graphs
Abstract. There are several well-known and important hamiltonian results for claw-free graphs but only a few are concerned with quasi-claw-free graphs. In this note, we provide a n...
Jou-Ming Chang, An-Hang Chen
109
Voted
COMBINATORICS
2006
156views more  COMBINATORICS 2006»
15 years 1 months ago
Total Domination and Matching Numbers in Claw-Free Graphs
A set M of edges of a graph G is a matching if no two edges in M are incident to the same vertex. The matching number of G is the maximum cardinality of a matching of G. A set S o...
Michael A. Henning, Anders Yeo
85
Voted
WG
2005
Springer
15 years 6 months ago
On Stable Cutsets in Claw-Free Graphs and Planar Graphs
To decide whether a line graph (hence a claw-free graph) of maximum degree five admits a stable cutset has been proven to be an NP-complete problem. The same result has been known...
Van Bang Le, Raffaele Mosca, Haiko Müller
85
Voted
ENDM
2002
97views more  ENDM 2002»
15 years 26 days 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
111
Voted
SIAMDM
2002
124views more  SIAMDM 2002»
15 years 21 days ago
Counting Claw-Free Cubic Graphs
Let Hn be the number of claw-free cubic graphs on 2n labeled nodes. Combinatorial reductions are used to derive a second order, linear homogeneous differential equation with polyno...
Edgar M. Palmer, Ronald C. Read, Robert W. Robinso...