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ENDM
2008
114views more  ENDM 2008»
13 years 7 months ago
Strong oriented chromatic number of planar graphs without cycles of specific lengths
A strong oriented k-coloring of an oriented graph G is a homomorphism from G to H having k vertices labelled by the k elements of an abelian additive group M, such that for any p...
Mickaël Montassier, Pascal Ochem, Alexandre P...
GD
2008
Springer
13 years 8 months ago
An SPQR-Tree Approach to Decide Special Cases of Simultaneous Embedding with Fixed Edges
Abstract. We present a linear-time algorithm for solving the simultaneous embedding problem with fixed edges (SEFE) for a planar graph and a pseudoforest (a graph with at most one...
J. Joseph Fowler, Carsten Gutwenger, Michael J&uum...
WG
2007
Springer
14 years 1 months ago
Minimum-Weight Cycle Covers and Their Approximability
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set ...
Bodo Manthey
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
DAM
2008
93views more  DAM 2008»
13 years 7 months ago
Planar graph bipartization in linear time
For each constant k, we present a linear time algorithm that, given a planar graph G, either finds a minimum odd cycle vertex transversal in G or guarantees that there is no transv...
Samuel Fiorini, Nadia Hardy, Bruce A. Reed, Adrian...