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DM
2006
71views more  DM 2006»
13 years 9 months ago
Pair lengths of product graphs
The pair length of a graph G is the maximum positive integer k, such that the vertex set of G can be partitioned into disjoint pairs {x, x }, such that d(x, x ) k for every x V (...
Demetres Christofides
GC
2006
Springer
13 years 9 months ago
On n-partite Tournaments with Unique n-cycle
An n-partite tournament is an orientation of a complete n-partite graph. An npartite tournament is a tournament, if it contains exactly one vertex in each partite set. Douglas, Pr...
Gregory Gutin, Arash Rafiey, Anders Yeo
DAM
2007
141views more  DAM 2007»
13 years 9 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
CPC
2004
136views more  CPC 2004»
13 years 9 months ago
On the Strong Chromatic Number
The strong chromatic number, S(G), of an n-vertex graph G is the smallest number k such that after adding kn/k-n isolated vertices to G and considering any partition of the vertic...
Penny E. Haxell
SWAT
2004
Springer
123views Algorithms» more  SWAT 2004»
14 years 3 months ago
A Simple Linear-Time Modular Decomposition Algorithm for Graphs, Using Order Extension
The first polynomial time algorithm (O(n4 )) for modular decomposition appeared in 1972 [8] and since then there have been incremental improvements, eventually resulting in linear...
Michel Habib, Fabien de Montgolfier, Christophe Pa...