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DM
2008
78views more  DM 2008»
13 years 10 months ago
Planarization and fragmentability of some classes of graphs
The coefficient of fragmentability of a class of graphs measures the proportion of vertices that need to be removed from the graphs in the class in order to leave behind bounded s...
Keith Edwards, Graham Farr
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 10 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...
COMBINATORICS
2006
130views more  COMBINATORICS 2006»
13 years 10 months ago
Fractional Biclique Covers and Partitions of Graphs
A biclique is a complete bipartite subgraph of a graph. This paper investigates the fractional biclique cover number, bc(G), and the fractional biclique partition number, bp(G), o...
Valerie L. Watts
COMBINATORICS
2006
156views more  COMBINATORICS 2006»
13 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
DAM
2007
74views more  DAM 2007»
13 years 9 months ago
On the uniform edge-partition of a tree
We study the problem of uniformly partitioning the edge set of a tree with n edges into k connected components, where k ≤ n. The objective is to minimize the ratio of the maximu...
Bang Ye Wu, Hung-Lung Wang, Shih Ta Kuan, Kun-Mao ...