DM 2008 | Sciweavers

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

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2008

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Hamiltonian properties of triangular grid graphs

13 years 4 months ago

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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

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Graphic sequences with a realization containing a generalized friendship graph

13 years 4 months ago

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: Gould, Jacobson and Lehel (Combinatorics, Graph Theory and Algorithms, Vol.I (1999) 451

Jian-Hua Yin, Gang Chen, John R. Schmitt

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Point-weight designs with design conditions on t points

13 years 4 months ago

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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

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Multiple extensions of a finite Euler's pentagonal number theorem and the Lucas formulas

13 years 4 months ago

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Victor J. W. Guo, Jiang Zeng

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Rank functions of strict cg-matroids

13 years 4 months ago

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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

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2008

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Clique coverings and partitions of line graphs

13 years 4 months ago

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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

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Partial cubes: structures, characterizations, and constructions

13 years 4 months ago

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Partial cubes are isometric subgraphs of hypercubes. Structures on a graph defined by means of semicubes, and Djokovi

Sergei Ovchinnikov