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134
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COMBINATORICS
2006
276views more  COMBINATORICS 2006»
14 years 10 months ago
On Subgraphs Induced by Transversals in Vertex-Partitions of Graphs
Maria Axenovich
75
Voted
JGT
2007
130views more  JGT 2007»
14 years 10 months ago
Vertex partitions and maximum degenerate subgraphs
: Let G be a graph with maximum degree d ≥ 3 and ω(G) ≤ d, where ω(G) is the clique number of the graph G. Let p1 and p2 be two positive integers such that d = p1 + p2. In th...
Martín Matamala
90
Voted
COMBINATORICA
2006
137views more  COMBINATORICA 2006»
14 years 10 months ago
Extremal Problems For Transversals In Graphs With Bounded Degree
We introduce and discuss generalizations of the problem of independent transversals. Given a graph property R, we investigate whether any graph of maximum degree at most d with a ...
Tibor Szabó, Gábor Tardos
89
Voted
GD
2008
Springer
14 years 11 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...
86
Voted
COMBINATORICS
2006
156views more  COMBINATORICS 2006»
14 years 10 months ago
Total Domination and Matching Numbers in Claw-Free Graphs
A set M of edges of a graph G is a matching if no two edges in M are incident to the same vertex. The matching number of G is the maximum cardinality of a matching of G. A set S o...
Michael A. Henning, Anders Yeo