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» A Note on Graph Pebbling
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COMBINATORICS
2000
73views more  COMBINATORICS 2000»
13 years 7 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»
13 years 7 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»
13 years 7 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»
13 years 7 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
14 years 25 days 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