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» Connectivity of addable graph classes
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JCT
2008
62views more  JCT 2008»
13 years 4 months ago
Connectivity of addable graph classes
Paul Balister, Béla Bollobás, Stefan...
WG
2007
Springer
13 years 11 months ago
Complexity and Approximation Results for the Connected Vertex Cover Problem
We study a variation of the vertex cover problem where it is required that the graph induced by the vertex cover is connected. We prove that this problem is polynomial in chordal g...
Bruno Escoffier, Laurent Gourvès, Jé...
ENDM
2007
75views more  ENDM 2007»
13 years 4 months ago
Graph classes with given 3-connected components: asymptotic counting and critical phenomena
Fix a family T of 3-connected graphs, and let G be the class of graphs whose 3connected components are the graphs in T . We present a general framework for analyzing such graph cl...
Omer Giménez, Marc Noy, Juan José Ru...
DAM
1999
128views more  DAM 1999»
13 years 4 months ago
Graph Classes Between Parity and Distance-hereditary Graphs
Several graph problems (e.g., steiner tree, connected domination, hamiltonian path, and isomorphism problem), which can be solved in polynomial time for distance-hereditary graphs...
Serafino Cicerone, Gabriele Di Stefano
WG
2001
Springer
13 years 9 months ago
(k, +)-Distance-Hereditary Graphs
In this work we introduce, characterize, and provide algorithmic results for (k, +)–distance-hereditary graphs, k ≥ 0. These graphs can be used to model interconnection networ...
Serafino Cicerone, Gianluca D'Ermiliis, Gabriele D...