1988Journal of Graph TheoryRequires access

Characterizations of second iterated line graphs

Zhao Guangfu

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Abstract

Abstract The main results of this paper are two characterizations of second iterated line graphs, i.e., two sets of necessary and sufficient conditions for the existence of solutions to the graph equation H = L2(G). A method to get a root of the graph equation is also given if one exists.

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What this paper is about

Abstract The main results of this paper are two characterizations of second iterated line graphs, i.e., two sets of necessary and sufficient conditions for the existence of solutions to the graph equation H = L2(G). A method to get a root of the graph equation is also given if one exists.

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Available abstract

Abstract The main results of this paper are two characterizations of second iterated line graphs, i.e., two sets of necessary and sufficient conditions for the existence of solutions to the graph equation H = L2(G). A method to get a root of the graph equation is also given if one exists.

Key concepts: Iterated function, Mathematics, Line graph, Combinatorics, Graph, Discrete mathematics, Block graph, Line (geometry)

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