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Convex sets in graphs, II. Minimal path convexity

✍ Scribed by Pierre Duchet


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
550 KB
Volume
44
Category
Article
ISSN
0095-8956

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A total dominating function (TDF) of a graph G = (V, E) is a function f : V β†’ [0, 1] such that for each v ∈ V , the sum of f values over the open neighbourhood of v is at least one. Zero-one valued TDFs are precisely the characteristic functions of total dominating sets of G. We study the convexity