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91
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JCO
2007
74views more  JCO 2007»
14 years 11 months ago
Maximum cyclic 4-cycle packings of the complete multipartite graph
A graph G is said to be m-sufficient if m is not exceeding the order of G, each vertex of G is of even degree, and the number of edges in G is a multiple of m. A complete multipar...
Shung-Liang Wu, Hung-Lin Fu
GD
1998
Springer
15 years 3 months ago
Geometric Thickness of Complete Graphs
We define the geometric thickness of a graph to be the smallest number of layers such that we can draw the graph in the plane with straightline edges and assign each edge to a lay...
Michael B. Dillencourt, David Eppstein, Daniel S. ...
85
Voted
FLOPS
2004
Springer
15 years 5 months ago
Complete Axiomatization of an Algebraic Construction of Graphs
This paper presents a complete (infinite) axiomatization for an algebraic construction of graphs, in which a finite fragment denotes the class of graphs with bounded tree width.
Mizuhito Ogawa
87
Voted
DM
2010
98views more  DM 2010»
14 years 11 months ago
Idomatic partitions of direct products of complete graphs
In this paper we give a full characterization of the idomatic partitions of the direct product of three complete graphs. We also show how to use such a characterization in order t...
Mario Valencia-Pabon
63
Voted
JGT
2008
88views more  JGT 2008»
14 years 11 months ago
On minimum sets of 1-factors covering a complete multipartite graph
We determine necessary and sufficient conditions for a complete multipartite graph to admit a set of 1-factors whose union is the whole graph and, when these conditions are satisf...
David Cariolaro, Hung-Lin Fu