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JCT
2008
96views more  JCT 2008»
14 years 11 months ago
Graphs with full rank 3-color matrix and few 3-colorings
We exhibit a a counterexample to a conjecture of Thomassen stating that the number of distinct 3-colorings of every graph whose 3color matrix has full column rank is superpolynomi...
Serguei Norine, Jean-Sébastien Sereni
JGT
2006
81views more  JGT 2006»
14 years 11 months ago
A Ramsey-type result for the hypercube
We prove that for every fixed k and 5 and for sufficiently large n, every edge coloring of the hypercube Qn with k colors contains a monochromatic cycle of length 2 . This answer...
Noga Alon, Rados Radoicic, Benny Sudakov, Jan Vond...
COMBINATORICA
2007
148views more  COMBINATORICA 2007»
14 years 11 months ago
Colored graphs without colorful cycles
A colored graph is a complete graph in which a color has been assigned to each edge, and a colorful cycle is a cycle in which each edge has a different color. We first show that ...
Richard N. Ball, Ales Pultr, Petr Vojtechovsk&yacu...
PDPTA
2003
15 years 1 months ago
A Design for Node Coloring and 1-Fair Alternator on de Bruijn Networks
In this paper, we study the coloring problem for the undirected binary de Bruijn interconnection network. The coloring scheme is simple and fast. We propose the coloring algorithm...
Jyh-Wen Mao, Chang-Biau Yang
IWPEC
2010
Springer
14 years 9 months ago
On the Kernelization Complexity of Colorful Motifs
The Colorful Motif problem asks if, given a vertex-colored graph G, there exists a subset S of vertices of G such that the graph induced by G on S is connected and contains every c...
Abhimanyu M. Ambalath, Radheshyam Balasundaram, Ch...