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International Journal of Computer Mathematics, 1995
An E-graph is constructed by replacing each edge in a core graph G with a copy of a graph H. An important property of E-graphs is that their invariant values can be determined from parameters of the original graphs G and H. We determine chromatic number, clique number, vertex and edge cover numbers, vertex and edge independence numbers, circumference ...
Teresa W. Haynes, Linda M. Lawson
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An E-graph is constructed by replacing each edge in a core graph G with a copy of a graph H. An important property of E-graphs is that their invariant values can be determined from parameters of the original graphs G and H. We determine chromatic number, clique number, vertex and edge cover numbers, vertex and edge independence numbers, circumference ...
Teresa W. Haynes, Linda M. Lawson
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Discrete Mathematics, 2019
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Brian Alspach +2 more
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Brian Alspach +2 more
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Transactions of the American Mathematical Society, 1991
The development of oriented and semioriented algebraic invariants associated to a class of embeddings of regular four valent graphs is given. These generalize the analogous invariants for classical knots and links, can be determined from them by means of a weighted averaging process, and define them by means of a new state model.
Jonish, D., Millett, K. C.
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The development of oriented and semioriented algebraic invariants associated to a class of embeddings of regular four valent graphs is given. These generalize the analogous invariants for classical knots and links, can be determined from them by means of a weighted averaging process, and define them by means of a new state model.
Jonish, D., Millett, K. C.
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Journal of Knot Theory and Its Ramifications, 2000
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Graphs and Combinatorics, 2002
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An Invariant of the Graph Isomorphism
2008 IEEE Pacific-Asia Workshop on Computational Intelligence and Industrial Application, 2008The adjacent matrix is defined in this paper for a given graph, and the deformation called dual congruent act on the matrix is discussed. We have shown that any two graphs are isomorphic each other if and only if they having the dual congruent adjacent matrices. So the adjacent matrix of graph is a isomorphic invariants for graph theory.
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Polynomial invariants of graphs II
Graphs and Combinatorics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seiya Negami, Katsuhiro Ota
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Invariant intersection graph of a graph
Journal of Discrete Mathematical Sciences & CryptographyStudies in algebraic graph theory showcase the interplay between group theory and graph theory by defining graphs on groups, investigating their properties, and also by analysing the automorphism groups that emerge from the graphs. In this article, we introduce the idea of constructing an algebraic derived graph; that is, constructing a graph based on ...
S. Madhumitha, Sudev Naduvath
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