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» On Bounds for the k-Partitioning of Graphs
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JGT
2007
99views more  JGT 2007»
14 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...
DM
1999
145views more  DM 1999»
14 years 9 months ago
Modular decomposition and transitive orientation
A module of an undirected graph is a set X of nodes such for each node x not in X , either every member of X is adjacent to x, or no member of X is adjacent to x. There is a canon...
Ross M. McConnell, Jeremy Spinrad
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
14 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»
15 years 2 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...
CCCG
2010
14 years 11 months ago
Stable roommates and geometric spanners
In this paper we devise a new geometric spanner based on a generalization of the known Stable Roommates algorithm. This spanner is on the "path" between the Yao graph an...
Paz Carmi, Lilach Chaitman