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COMBINATORICS
2007
42views more  COMBINATORICS 2007»
15 years 6 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»
15 years 6 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
COLOGNETWENTE
2010
15 years 5 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...
EOR
2008
136views more  EOR 2008»
15 years 6 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...
ESA
2000
Springer
104views Algorithms» more  ESA 2000»
15 years 10 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...