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ARSCOM
2006
72views more  ARSCOM 2006»
13 years 4 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
WG
2005
Springer
13 years 10 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
ENDM
2002
97views more  ENDM 2002»
13 years 4 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
SIAMDM
2002
124views more  SIAMDM 2002»
13 years 4 months 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...
SIAMDM
2010
128views more  SIAMDM 2010»
13 years 2 months ago
t-Perfection Is Always Strong for Claw-Free Graphs
A connected graph G is called t-perfect if its stable set polytope is determined by the non-negativity, edge and odd-cycle inequalities. Moreover, G is called strongly t-perfect i...
Henning Bruhn, Maya Stein