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Graphs which,with their complements,have certain clique covering numbers
Authors:Robert C Brigham  Ronald D Dutton
Institution:Department of Mathematics and Statistics University of Central Florida, P.O. Box 25000, Orlando, FL 32816, USA;Department of Computer Science, University of Central Florida, P.O. Box 25000, Orlando, FL 32816, USA
Abstract:Two common invariants of a graph G are its node clique cover number, θ0(G), and its edge clique cover number, θ1(G). We present in this work a characterization of those graphs for which they and their complements, G?, have θ0(G)=θ1(G) and θ0(G?)=θ1(G?). Graphs satis ying these conditions are shown to constitute a subset of those graphs which we term C-graphs.
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