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COMBINATORICS
2007
42views more  COMBINATORICS 2007»
14 years 9 months ago
Graphs with Chromatic Roots in the Interval (1, 2)
We present an infinite family of 3-connected non-bipartite graphs with chromatic roots in the interval (1, 2) thus resolving a conjecture of Jackson’s in the negative. In addit...
Gordon F. Royle
DAM
2006
191views more  DAM 2006»
14 years 9 months ago
Approximating the minimum clique cover and other hard problems in subtree filament graphs
Subtree filament graphs are the intersection graphs of subtree filaments in a tree. This class of graphs contains subtree overlap graphs, interval filament graphs, chordal graphs,...
J. Mark Keil, Lorna Stewart
107
Voted
COLOGNETWENTE
2010
14 years 8 months ago
Interval Total Colorings of Bipartite Graphs
An interval total t coloring of a graph G is a total coloring of with colors 1, such that at least one vertex or edge of is colored by color − G 2, ,t… G , 1, 2, ,i i t= … ,...
Petros A. Petrosyan, Ani Shashikyan, Arman Yu. Tor...
70
Voted
EOR
2008
136views more  EOR 2008»
14 years 9 months ago
Complexity and exact algorithms for vertex multicut in interval and bounded treewidth graphs
Multicut is a fundamental network communication and connectivity problem. It is defined as: given an undirected graph and a collection of pairs of terminal vertices, find a minimu...
Jiong Guo, Falk Hüffner, Erhan Kenar, Rolf Ni...
80
Voted
ESA
2000
Springer
104views Algorithms» more  ESA 2000»
15 years 1 months ago
Efficient Algorithms for Centers and Medians in Interval and Circular-Arc Graphs
The p-center problem is to locate p facilities on a network so as to minimize the largest distance from a demand point to its nearest facility. The p-median problem is to locate p ...
Sergei Bespamyatnikh, Binay K. Bhattacharya, J. Ma...