
AbstractAn interval graph is said to be extremal if it achieves, among all interval graphs having the same number of vertices and the same clique number, the maximum possible number of edges. We give an intrinsic characterization of extremal interval graphs and derive recurrence relations for the numbers of such graphs. © 1993 John Wiley & Sons, Inc.
Extremal problems in graph theory, interval graph, characterization, Structural characterization of families of graphs, caterpillars, maximum edge number, Enumeration in graph theory, clique number
Extremal problems in graph theory, interval graph, characterization, Structural characterization of families of graphs, caterpillars, maximum edge number, Enumeration in graph theory, clique number
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