2015Advances in Pure MathematicsOpen access

On k-Transitive Closures of Directed Paths

Krzysztof Pszczoła

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Abstract

In this paper we study the structure of k-transitive closures of directed paths and formulate several properties. Concept of k-transitive orientation generalizes the traditional concept of transitive orientation of a graph.

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In this paper we study the structure of k-transitive closures of directed paths and formulate several properties. Concept of k-transitive orientation generalizes the traditional concept of transitive orientation of a graph.

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Available abstract

In this paper we study the structure of k-transitive closures of directed paths and formulate several properties. Concept of k-transitive orientation generalizes the traditional concept of transitive orientation of a graph.

Key concepts: Transitive relation, Mathematics, Transitive reduction, Combinatorics, Graph, Directed graph, Orientation (vector space), Transitive closure

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