The PI index of polyomino chains of 4k-cycles

Toufik Mansour; Matthias Schork

doi:10.1007/s10440-008-9339-7

The PI index of polyomino chains of 4k-cycles

Toufik Mansour
, Matthias Schork

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The Padmakar-Ivan (PI) index of a graph G is the sum over all edges uv of G of the number of edges which are not equidistant from the vertices u and v. In this paper we compute the PI index of polyomino chains of 4k-cycles and establish bounds for it.

Original language	English
Pages (from-to)	671-681
Number of pages	11
Journal	Acta Applicandae Mathematicae
Volume	109
Issue number	3
DOIs	https://doi.org/10.1007/s10440-008-9339-7
State	Published - Mar 2010

Keywords

Graph invariant
PI index
Polyomino chain

ASJC Scopus subject areas

Applied Mathematics

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10.1007/s10440-008-9339-7

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abstract = "The Padmakar-Ivan (PI) index of a graph G is the sum over all edges uv of G of the number of edges which are not equidistant from the vertices u and v. In this paper we compute the PI index of polyomino chains of 4k-cycles and establish bounds for it.",

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AB - The Padmakar-Ivan (PI) index of a graph G is the sum over all edges uv of G of the number of edges which are not equidistant from the vertices u and v. In this paper we compute the PI index of polyomino chains of 4k-cycles and establish bounds for it.

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KW - Polyomino chain

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The PI index of polyomino chains of 4k-cycles

Abstract

Keywords

ASJC Scopus subject areas

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