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Distance in stratified graphs. (English) Zbl 1033.05031
A stratified graph is an ordered pair $$(G,S)$$, where $$G$$ is an undirected graph and $$S$$ is a partition of its vertex set $$V(G)$$ into classes called strata. For any stratum $$X$$ the concepts analogous to the basic concepts concerning distance may be defined, namely $$X$$-eccentricity, $$X$$-radius, $$X$$-diameter, $$X$$-center, $$X$$-periphery. These concepts are studied in the paper. The study of stratified graphs is motivated on the one hand by VLSI designs, on the other hand by needs of sociology and politology.

MSC:
 05C12 Distance in graphs 05C15 Coloring of graphs and hypergraphs
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