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2-Tone Colorings in Graph Products

100%

Loe J. , Middelbrooks D. , Morris A. , Wash K.

tom 35

nr 1

55-72

A variation of graph coloring known as a t-tone k-coloring assigns a set of t colors to each vertex of a graph from the set {1, . . . , k}, where the sets of colors assigned to any two vertices distance d apart share fewer than d colors in common. The minimum integer k such that a graph G has a t- tone k-coloring is known as the t-tone chromatic number. We study the 2-tone chromatic number in three different graph products. In particular, given graphs G and H, we bound the 2-tone chromatic number for the direct product G×H, the Cartesian product G□H, and the strong product G⊠H.

Decision support based methods to facilitate 3D volumetric locking in a new peer to peer based spatial database system

100%

Vert G. , Morris A. , Heaton J. S.

Control and Cybernetics

2006

tom 35

nr 1

165-194

Modeling and manipulating fuzzy regions: strategies to define the topological relation between two fuzzy regions

100%

Schmitz A. , Morris A.

Control and Cybernetics

2006

tom 35

nr 1

73-95