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DM
2008
83views more  DM 2008»
13 years 11 months ago
Highly connected multicoloured subgraphs of multicoloured graphs
We consider the following question of Bollob
Henry Liu, Robert Morris, Noah Prince
DM
2008
112views more  DM 2008»
13 years 11 months ago
Coloring the Cartesian sum of graphs
For graphs G and H, let G H denote their Cartesian sum. This paper investigates the chromatic number and the circular chromatic number for GH. It is proved that (G H) max{ c(G)...
Daphne Der-Fen Liu, Xuding Zhu
DM
2008
86views more  DM 2008»
13 years 11 months ago
Hamiltonian properties of triangular grid graphs
A triangular grid graph is a finite induced subgraph of the infinite graph associated with the two-dimensional triangular grid. In 2000, Reay and Zamfirescu showed that all 2-conne...
Valery S. Gordon, Yury L. Orlovich, Frank Werner
DM
2008
123views more  DM 2008»
13 years 11 months ago
Graphic sequences with a realization containing a generalized friendship graph
: Gould, Jacobson and Lehel (Combinatorics, Graph Theory and Algorithms, Vol.I (1999) 451
Jian-Hua Yin, Gang Chen, John R. Schmitt
DM
2008
56views more  DM 2008»
13 years 11 months ago
Point-weight designs with design conditions on t points
This paper examines some of the properties of point-weight incidence structures, i.e. incidence structures for which every point is assigned a positive integer weight. In particul...
Alexander W. Dent
DM
2008
55views more  DM 2008»
13 years 11 months ago
Rank functions of strict cg-matroids
A matroid-like structure defined on a convex geometry, called a cg-matroid, is defined by S. Fujishige, G. A. Koshevoy, and Y. Sano in [9]. A cg-matroid whose rank function is nat...
Yoshio Sano
DM
2008
145views more  DM 2008»
13 years 11 months ago
Clique coverings and partitions of line graphs
A clique in a graph G is a complete subgraph of G. A clique covering (partition) of G is a collection C of cliques such that each edge of G occurs in at least (exactly) one clique...
Bo-Jr Li, Gerard J. Chang
DM
2008
92views more  DM 2008»
13 years 11 months ago
Partial cubes: structures, characterizations, and constructions
Partial cubes are isometric subgraphs of hypercubes. Structures on a graph defined by means of semicubes, and Djokovi
Sergei Ovchinnikov
DM
2008
61views more  DM 2008»
13 years 11 months ago
Neighborhood unions and extremal spanning trees
Evelyne Flandrin, Tomás Kaiser, Roman Kuzel...