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» A Note on Graph Pebbling
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COMBINATORICS
2000
73views more  COMBINATORICS 2000»
14 years 10 months ago
Note on Gy. Elekes's Conjectures Concerning Unavoidable Patterns in Proper Colorings
A counterexample is presented to Gy. Elekes's conjecture concerning the existence of long 2-colored paths in properly colored graphs. A modified version of the conjecture is ...
Vera Rosta
JDA
2006
59views more  JDA 2006»
14 years 10 months ago
A note on the complexity of minimum dominating set
The currently (asymptotically) fastest algorithm for minimum dominating set on graphs of n nodes is the trivial (2n) algorithm which enumerates and checks all the subsets of
Fabrizio Grandoni
COMBINATORICS
2000
112views more  COMBINATORICS 2000»
14 years 10 months ago
A Note on Random Minimum Length Spanning Trees
Consider a connected r-regular n-vertex graph G with random independent edge lengths, each uniformly distributed on [0, 1]. Let mst(G) be the expected length of a minimum spanning...
Alan M. Frieze, Miklós Ruszinkó, Lub...
DAM
2002
76views more  DAM 2002»
14 years 10 months ago
Block duplicate graphs and a hierarchy of chordal graphs
A block graph is a graph whose blocks are cliques. A block duplicate (BD) graph is a graph obtained by adding true twins (i.e., adjacent vertices with the same closed neighborhood...
Martin Charles Golumbic, Uri N. Peled
FCT
2003
Springer
15 years 3 months ago
Graph Searching, Elimination Trees, and a Generalization of Bandwidth
The bandwidth minimization problem has a long history and a number of practical applications. In this paper we introduce a natural extension of bandwidth to partially ordered layo...
Fedor V. Fomin, Pinar Heggernes, Jan Arne Telle