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A tree‐network has the fixed point property
Author(s) -
Labbé Martine,
Thisse JacquesFrançois
Publication year - 1989
Publication title -
networks
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.977
H-Index - 64
eISSN - 1097-0037
pISSN - 0028-3045
DOI - 10.1002/net.3230190207
Subject(s) - tree (set theory) , property (philosophy) , tree network , fixed point , computer science , point (geometry) , computer network , mathematics , algorithm , combinatorics , geometry , epistemology , time complexity , mathematical analysis , philosophy
We prove that any continuous mapping from a network into itself has a fixed point if and only if the network is a tree‐network.
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