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- Gary Chartrand, Futaba Fujie-Okamoto, Craig W. Rasmussen, Ping Zhang
- Discussiones Mathematicae Graph Theory
- 2009

For a nontrivial connected graph G, let c : V (G) → N be a vertex coloring of G where adjacent vertices may be colored the same. For a vertex v of G, the neighborhood color set NC(v) is the set of colors of the neighbors of v. The coloring c is called a set coloring if NC(u) = NC(v) for every pair u, v of adjacent vertices of G. The minimum number of colors… (More)

- J. Richard Lundgren, Craig W. Rasmussen, John S. Maybee
- Discrete Mathematics
- 1993

The competition graph of a loopless symmetric digraph If is the rwo-.\rc'p grclph. S,(H). Necessary and sufficient conditions on If are given for S,(ff) to be interval or unit interval. These are useful properties when application requires that the competition graph be efficiently colorable. Computational aspects are discussed. as are related open problems.… (More)

- J. Richard Lundgren, Craig W. Rasmussen
- Discrete Mathematics
- 1993

Competition graphs were rst introduced by Joel Cohen in the study of food webs and have since been extensively studied. Graphs which are the competition graph of a strongly connected or Hamiltonian digraph are of particular interest in applications to communication networks. It has been previously established that every graph without isolated vertices… (More)

The competition graph of a symmetric digraph D with a loop at each vertex is the square of the underlying graph of D with loops removed. In the interest of eeciently assigning radio frequencies in a communication network, we would like to determine which graphs have interval squares. Necessary and suucient conditions on the graph G are given for G 2 to be… (More)

- Craig W. Rasmussen, Cynthia E. Irvine, George W. Dinolt, Timothy E. Levin, Karen L. Burke
- World Conference on Information Security…
- 2003

Large complex systems need to be analysed prior to operation so that those depending upon them for the protection of their information have a well defined understanding of the measures that have been taken to achieve security and the residual risk the system owner assumes during its operation. The U.S. military calls this analysis and vetting process… (More)

- Persson, T Yde, +10 authors Bjørling-Poulsen
- 2007

(2007) Carboxyl and arboxamide pyrazoles as protein kinase inhibitors in corrupt eukaryotic signal transduction: Induction of growth arrest in MCF-7 cancer cells. of cell death in antiestrogen-resistant human breast cancer cells by the protein kinase CK2 inhibitor DMAT. (2007) Breast cancer cells with acquired anti-estrogen resistance are sensitized to… (More)

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