An extension of a fixed point problem for simple graphs

DOI10.1016/0012-365X(93)90181-RzbMath0782.05027MaRDI QIDQ686510

Alain Quillot

Publication date: 11 January 1994

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

fixed point propertyplanar graphpursuit game

Mathematics Subject Classification ID

Games involving graphs (91A43) Planar graphs; geometric and topological aspects of graph theory (05C10) Graph theory (05C99) Positional games (pursuit and evasion, etc.) (91A24)

Cites Work

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• A game of cops and robbers
• A retraction problem in graph theory
• On a pursuit game played on graphs for which a minor is excluded
• A fixed point theorem for finite partially orderes sets
• Vertex-to-vertex pursuit in a graph
• Structure theorems for some circular-arc graphs
• Fixed-edge theorem for graphs with loops
• Some Fixed Point Theorems for Partially Ordered Sets
• Products of absolute retracts

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