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» A Note on Graph Pebbling
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DAM
2007
62views more  DAM 2007»
13 years 7 months ago
Cancellation properties of products of graphs
This note extends results of Fern´andez, Leighton, and L´opez-Presa on the uniqueness of rth roots for disconnected graphs with respect to the Cartesian product to other product...
Wilfried Imrich, Sandi Klavzar, Douglas F. Rall
DAM
2000
121views more  DAM 2000»
13 years 7 months ago
Chordality and 2-factors in Tough Graphs
A graph G is chordal if it contains no chordless cycle of length at least four and is k-chordal if a longest chordless cycle in G has length at most k. In this note it is proved t...
Douglas Bauer, Gyula Y. Katona, Dieter Kratsch, He...
ARSCOM
2008
103views more  ARSCOM 2008»
13 years 7 months ago
Estimating the number of graphs containing very long induced paths
Let P(n, k) denote the number of graphs on n + k vertices that contain Pn, a path on n vertices, as an induced subgraph. In this note we will find upper and lower bounds for P(n, ...
Steven Butler
IJCAI
1989
13 years 8 months ago
Chart Parsing of Flowgraphs
This paper will present a generalisation of chart parsing able to cope with the case where the object being parsed is a particular kind of diagram (a flowgraph) and the grammar is...
Rudi Lutz
JCT
2008
68views more  JCT 2008»
13 years 7 months ago
An Ore-type theorem on equitable coloring
A proper vertex coloring of a graph is equitable if the sizes of its color classes differ by at most one. In this note, we prove that if G is a graph such that for each edge xy E...
Hal A. Kierstead, Alexandr V. Kostochka