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Fixed points of posets and clique graphs

✍ Scribed by Simone Hazan; Víctor Neumann-Lara


Book ID
104729496
Publisher
Springer Netherlands
Year
1996
Tongue
English
Weight
471 KB
Volume
13
Category
Article
ISSN
0167-8094

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📜 SIMILAR VOLUMES


Isotone relations and the fixed point pr
✍ James W Walker 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 659 KB

A strengthened form of the fixed point property for posets is presented, in which isotone functions are replaced by more general isotone relations. For finite posets, this 'relational fixed point property' turns out to be equivalent to dismantlability. But an example shows that not every infinite po

Clique Graphs of Chordal and Path Graphs
✍ Szwarcfiter, Jayme L.; Bornstein, Claudson F. 📂 Article 📅 1994 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 739 KB
A retract characterization of posets wit
✍ Richard A Brualdi; J.A Dias da Silva 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 233 KB

It has been an open problem to characterize posets P with the property that every order-preserving map on P has a fixed point. We give a characterization of such posets in terms of their retracts.