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CSR
2009
Springer
16 years 19 days ago
Partitioning Graphs into Connected Parts
The 2-Disjoint Connected Subgraphs problem asks if a given graph has two vertex-disjoint connected subgraphs containing prespecified sets of vertices. We show that this problem is...
Pim van 't Hof, Daniël Paulusma, Gerhard J. W...
WG
2005
Springer
15 years 11 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
CORR
2007
Springer
132views Education» more  CORR 2007»
15 years 6 months ago
Nodally 3-connected planar graphs and convex combination mappings
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
Colm Ó'Dúnlaing
JCO
2007
97views more  JCO 2007»
15 years 6 months ago
Restricted domination parameters in graphs
In a graph G, a vertex dominates itself and its neighbors. A subset S ⊆ V (G) is an m-tuple dominating set if S dominates every vertex of G at least m times, and an m-dominating...
Wayne Goddard, Michael A. Henning
COMBINATORICS
2006
89views more  COMBINATORICS 2006»
15 years 6 months ago
Rainbow H-factors
An H-factor of a graph G is a spanning subgraph of G whose connected components are isomorphic to H. Given a properly edge-colored graph G, a rainbow H-subgraph of G is an H-subgr...
Raphael Yuster