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COMBINATORICS
2000
81views more  COMBINATORICS 2000»
13 years 5 months ago
Interchangeability of Relevant Cycles in Graphs
The set R of relevant cycles of a graph G is the union of its minimum cycle bases. We introduce a partition of R such that each cycle in a class W can be expressed as a sum of oth...
Petra M. Gleiss, Josef Leydold, Peter F. Stadler
GC
2008
Springer
13 years 5 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
JGT
2010
91views more  JGT 2010»
13 years 3 months ago
Choosability of toroidal graphs without short cycles
: Let G be a toroidal graph without cycles of a fixed length k, and l(G) the list chromatic number of G. We establish tight upper bounds Contract grant sponsor: RGC; Contract grant...
Leizhen Cai, Weifan Wang, Xuding Zhu
DM
2010
128views more  DM 2010»
13 years 5 months ago
Some remarks on the geodetic number of a graph
A set of vertices D of a graph G is geodetic if every vertex of G lies on a shortest path between two not necessarily distinct vertices in D. The geodetic number of G is the minimu...
Mitre Costa Dourado, Fábio Protti, Dieter R...
GD
2003
Springer
13 years 10 months ago
Track Drawings of Graphs with Constant Queue Number
A k-track drawing is a crossing-free 3D straight-line drawing of a graph G on a set of k parallel lines called tracks. The minimum value of k for which G admits a k-track drawing ...
Emilio Di Giacomo, Henk Meijer