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» The k-in-a-path Problem for Claw-free Graphs
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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
WG
2009
Springer
13 years 11 months ago
Fast Exact Algorithms for Hamiltonicity in Claw-Free Graphs
The Hamiltonian Cycle problem asks if an n-vertex graph G has a cycle passing through all vertices of G. This problem is a classic NP-complete problem. So far, finding an exact al...
Hajo Broersma, Fedor V. Fomin, Pim van 't Hof, Dan...
SIAMDM
2010
128views more  SIAMDM 2010»
13 years 3 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
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...
ESA
2006
Springer
134views Algorithms» more  ESA 2006»
13 years 8 months ago
Graph Coloring with Rejection
We consider the following vertex coloring problem. We are given an undirected graph G = (V, E), where each vertex v is associated with a penalty rejection cost rv. We need to choos...
Leah Epstein, Asaf Levin, Gerhard J. Woeginger