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Convex sets in a graph

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Publication:1057496
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zbMath0563.52001MaRDI QIDQ1057496

E. Sampathkumar

Publication date: 1984

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

Helly's theoremConvex setsconvexity structurefinite connected graphHelly's number


Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Graph theory (05C99) Helly-type theorems and geometric transversal theory (52A35)


Related Items (12)

Induced path transit function, monotone and Peano axioms ⋮ Two classes of graphs in which some problems related to convexity are efficiently solvable ⋮ A general framework for path convexities ⋮ Equivalence between hypergraph convexities ⋮ Monophonic convexity in weighted graphs ⋮ Decomposable convexities in graphs and hypergraphs ⋮ The All-Paths Transit Function of a Graph ⋮ The induced path function, monotonicity and betweenness ⋮ Convexities related to path properties on graphs ⋮ Helly and exchange numbers of geodesic and Steiner convexities in lexicographic product of graphs ⋮ On the Carathéodory and exchange numbers of geodetic convexity in graphs ⋮ Unnamed Item




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