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DM
2008
110views more  DM 2008»
13 years 9 months ago
Nonrepetitive colorings of graphs of bounded tree-width
A sequence of the form s1s2 . . . sms1s2 . . . sm is called a repetition. A vertex-coloring of a graph is called nonrepetitive if none of its paths is repetitively colored. We ans...
André Kündgen, Michael J. Pelsmajer
JGT
2007
99views more  JGT 2007»
13 years 9 months ago
The upper bound of the number of cycles in a 2-factor of a line graph
Let G be a simple graph with order n and minimum degree at least two. In this paper, we prove that if every odd branch-bond in G has an edge-branch, then its line graph has a 2-fa...
Jun Fujisawa, Liming Xiong, Kiyoshi Yoshimoto, She...
DMTCS
2010
133views Mathematics» more  DMTCS 2010»
13 years 7 months ago
An improved bound on the largest induced forests for triangle-free planar graphs
We proved that every planar triangle-free graph with n vertices has a subset of vertices that induces a forest of size at least (71n + 72)/128. This improves the earlier work of S...
Lukasz Kowalik, Borut Luzar, Riste Skrekovski
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 9 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...
CIAC
1997
Springer
154views Algorithms» more  CIAC 1997»
14 years 1 months ago
Isomorphism for Graphs of Bounded Distance Width
In this paper, we study the Graph Isomorphism problem on graphs of bounded treewidth, bounded degree or bounded bandwidth. Graph Isomorphism can be solved in polynomial time for g...
Koichi Yamazaki, Hans L. Bodlaender, Babette de Fl...