Some applications of graph theory in the theory of hypergraphs
J. Nieminen (1975)
Applicationes Mathematicae
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Displaying similar documents to “Remarks on the application of Ramsey numbers to bounding the sum of densities of a graph and its complement”
Some applications of graph theory in the theory of hypergraphs
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The edge C₄ graph of some graph classes
Manju K. Menon, A. Vijayakumar (2010)
Discussiones Mathematicae Graph Theory
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The edge C₄ graph of a graph G, E₄(G) is a graph whose vertices are the edges of G and two vertices in E₄(G) are adjacent if the corresponding edges in G are either incident or are opposite edges of some C₄. In this paper, we show that there exist infinitely many pairs of non isomorphic graphs whose edge C₄ graphs are isomorphic. We study the relationship between the diameter, radius and domination number of G and those of E₄(G). It is shown that for any graph G without isolated vertices,...