In this paper we study competition graphs of digraphs of restricted degree. We introduce the notion of restricted competition numbers of graphs. We complete the characterization of competition graphs of indegree at most 2 and their restricted competition numbers. We characterize interval (2,3)-graphs and give a recognition algorithm for interval (2,3)-digraphs. We characterize competition graphs and interval competition graphs of digraphs of outdegree at most 2. The relationship between restricted competition numbers and ordinary competition numbers are studied for several classes of graphs.
机构:
Department of Applied Mathematics, Taiyuan University of Science and TechnologyDepartment of Applied Mathematics, Taiyuan University of Science and Technology
ZHANG Xin-hong
LI Rui-juan
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机构:
School of Mathematical Sciences, Shanxi UniversityDepartment of Applied Mathematics, Taiyuan University of Science and Technology