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2001•Journal of Discrete Mathematical Sciences and CryptographyRequires access

The blict graph and blitact graph of a graph

V. R. Kulli, M. S. Biradar

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Abstract

In this paper, we introduce the concepts of the blict graph and blitact graph of a graph. We obtain some properties of these graphs. We present characterizations of graphs whose blict graphs and blitact graphs are planar, outerplanar, maximal outerplanar and minimally nonouterplanar. We also characterize those graphs whose blict graphs and blitact graphs are isomorphic.

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What this paper is about

In this paper, we introduce the concepts of the blict graph and blitact graph of a graph. We obtain some properties of these graphs. We present characterizations of graphs whose blict graphs and blitact graphs are planar, outerplanar, maximal outerplanar and minimally nonouterplanar. We also characterize those graphs whose blict graphs and blitact graphs are isomorphic.

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Available abstract

In this paper, we introduce the concepts of the blict graph and blitact graph of a graph. We obtain some properties of these graphs. We present characterizations of graphs whose blict graphs and blitact graphs are planar, outerplanar, maximal outerplanar and minimally nonouterplanar. We also characterize those graphs whose blict graphs and blitact graphs are isomorphic.

Key concepts: Outerplanar graph, Pathwidth, Combinatorics, 1-planar graph, Cograph, Chordal graph, Block graph, Mathematics

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