Document Type

Article

Publication Date

4-20-2015

Department

Mathematics

Abstract

Analogous to the fixed point property for ordered sets, a graph has the fixed vertex property if each of its endomorphisms has a fixed vertex. The fixed point theory for ordered sets can be embedded into the fixed vertex theory for graphs. Therefore, the potential for cross-fertilization should be explored.

Comments

Publisher version available at http://dx.doi.org/10.1007/s11083-014-9337-5

Publication Title

Order: A Journal on the Theory of Ordered Sets and its Applications

Volume

32

Issue

3

First Page

363

Last Page

377

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