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JAIR
2010
90views more  JAIR 2010»
13 years 3 months ago
An Effective Algorithm for and Phase Transitions of the Directed Hamiltonian Cycle Problem
The Hamiltonian cycle problem (HCP) is an important combinatorial problem with applications in many areas. It is among the first problems used for studying intrinsic properties, i...
Gerold Jäger, Weixiong Zhang
GC
2008
Springer
13 years 8 months ago
On the Acyclic Chromatic Number of Hamming Graphs
An acyclic coloring of a graph G is a proper coloring of the vertex set of G such that G contains no bichromatic cycles. The acyclic chromatic number of a graph G is the minimum nu...
Robert E. Jamison, Gretchen L. Matthews
SWAP
2007
13 years 10 months ago
Links and Cycles of Web Databases
This paper proposes a novel framework for composing web databases. Web databases are assumed to have explicit descriptions of I/O attributes and are considered as components of fun...
Masao Mori, Tetsuya Nakatoh, Sachio Hirokawa
JGT
2010
152views more  JGT 2010»
13 years 3 months ago
Cycles of even lengths modulo k
Thomassen [9] conjectured that for all natural numbers k > 0 and m, every graph of minimum degree k + 1 contains a cycle of length congruent to 2m modulo k. We prove that this ...
Ajit A. Diwan
IPPS
2007
IEEE
14 years 3 months ago
Minimum number of wavelengths equals load in a DAG without internal cycle
Let P be a family of dipaths. The load of an arc is the number of dipaths containing this arc. Let π(G, P) be the maximum of the load of all the arcs and let w(G, P) be the minim...
Jean-Claude Bermond, Michel Cosnard