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121
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DM
2002
107views more  DM 2002»
15 years 17 days ago
Edge clique graphs and some classes of chordal graphs
The edge clique graph of a graph G is one having as vertices the edges of G, two vertices being adjacent if the corresponding edges of G belong to a common clique. We describe cha...
Márcia R. Cerioli, Jayme Luiz Szwarcfiter
101
Voted
DM
2002
86views more  DM 2002»
15 years 17 days ago
A chip-firing game and Dirichlet eigenvalues
We consider a variation of the chip-firing game in a induced subgraph S of a graph G. Starting from a given chip configuration, if a vertex v has at least as many chips as its deg...
Fan R. K. Chung, Robert B. Ellis
111
Voted
DM
2002
116views more  DM 2002»
15 years 17 days ago
Star forests, dominating sets and Ramsey-type problems
A star forest of a graph G is a spanning subgraph of G in which each component is a star. The minimum number of edges required to guarantee that an arbitrary graph, or a bipartite...
Sheila Ferneyhough, Ruth Haas, Denis Hanson, Gary ...
80
Voted
DM
2002
83views more  DM 2002»
15 years 17 days ago
Pancyclicity in claw-free graphs
In this paper, we present several conditions for K1,3-free graphs, which guarantee the graph is subpancyclic. In particular, we show that every K1,3-free graph with minimum degree...
Ronald J. Gould, Florian Pfender
90
Voted
DM
2002
114views more  DM 2002»
15 years 17 days ago
Existence of resolvable group divisible designs with block size four I
It is proved in this paper that for m 0; 2; 6; 10 (mod 12) there exists a resolvable group divisible design of order v, block size 4 and group size m if and only v 0 (mod 4), v ...
Hao Shen, Jiaying Shen