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GD
2009
Springer
14 years 10 days ago
Geometric Simultaneous Embeddings of a Graph and a Matching
The geometric simultaneous embedding problem asks whether two planar graphs on the same set of vertices in the plane can be drawn using straight lines, such that each graph is pla...
Sergio Cabello, Marc J. van Kreveld, Giuseppe Liot...
EJC
2007
13 years 7 months ago
Chords of longest circuits in locally planar graphs
It was conjectured by Thomassen ([B. Alspach, C. Godsil, Cycle in graphs, Ann. Discrete Math. 27 (1985)], p. 466) that every longest circuit of a 3-connected graph must have a cho...
Ken-ichi Kawarabayashi, Jianbing Niu, Cun-Quan Zha...
FAW
2007
Springer
177views Algorithms» more  FAW 2007»
14 years 1 months ago
The Parameterized Complexity of the Induced Matching Problem in Planar Graphs
Abstract. Given a graph G and a nonnegative integer k, the NP-complete Induced Matching problem asks for an edge subset M such that M is a matching and no two edges of M are joined...
Hannes Moser, Somnath Sikdar
DAM
2008
131views more  DAM 2008»
13 years 7 months ago
Partition into cliques for cubic graphs: Planar case, complexity and approximation
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
Márcia R. Cerioli, L. Faria, T. O. Ferreira...
JGT
2006
98views more  JGT 2006»
13 years 7 months ago
Group chromatic number of planar graphs of girth at least 4
Jeager et al introduced a concept of group connectivity as an generalization of nowhere zero flows and its dual concept group coloring, and conjectured that every 5-edge connected...
Hong-Jian Lai, Xiangwen Li