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2014•arXiv (Cornell University)Open 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 generalize the traditional concept of transitive orientation of a graph.

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What this paper is about

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

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

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