2006Journal of Discrete Mathematical Sciences and CryptographyRequires access

Path point cover

S. Soma Sundaram, A. Nagarajan, M. Anantha Krishnan

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Abstract

A path cover ψ is a collection of edge disjoint paths covering all the edges of G exactly once. A point v is said to cover a path P of ψ if v∈P. A ψ-point cover is defined as a collection of points S⊆V covering all the paths of ψ. In this paper we study some properties of ψ-point cover. This study is motivated by the work of Purnima Gupta and B.D. Acharya [3] on domination in graphoidal covers.

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What this paper is about

A path cover ψ is a collection of edge disjoint paths covering all the edges of G exactly once. A point v is said to cover a path P of ψ if v∈P. A ψ-point cover is defined as a collection of points S⊆V covering all the paths of ψ. In this paper we study some properties of ψ-point cover. This study is motivated by the work of Purnima Gupta and B.D. Acharya [3] on domination in graphoidal covers.

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Available abstract

A path cover ψ is a collection of edge disjoint paths covering all the edges of G exactly once. A point v is said to cover a path P of ψ if v∈P. A ψ-point cover is defined as a collection of points S⊆V covering all the paths of ψ. In this paper we study some properties of ψ-point cover. This study is motivated by the work of Purnima Gupta and B.D. Acharya [3] on domination in graphoidal covers.

Key concepts: Cover (algebra), Path (computing), Disjoint sets, Point (geometry), Enhanced Data Rates for GSM Evolution, Combinatorics, Mathematics, Covering space

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