Path homomorphisms
Copyright policy )Path homomorphisms
AbstractWe investigate homomorphisms between finite oriented paths. We demonstrate the surprising richness of this perhaps simplest case of homomorphism between graphs by proving the density theorem for oriented paths. As a consequence every two dimensional countable poset is represented finite paths and their homomorphisms, and every finite dimensional poset is represented finite oriented trees and their homomorphisms. We then consider related problems of universal representability and extendability and on-line representability.
- Simon Fraser University Canada
- Charles University Czech Republic
Graph theory, Combinatorics of partially ordered sets, homomorphism, paths, countable poset, trees, Paths and cycles
Graph theory, Combinatorics of partially ordered sets, homomorphism, paths, countable poset, trees, Paths and cycles
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