On the completeness-number of a finite graph. II.
Ivan Havel (1968)
Časopis pro pěstování matematiky
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Ivan Havel (1968)
Časopis pro pěstování matematiky
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Bohdan Zelinka (1986)
Czechoslovak Mathematical Journal
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Černý, A., Horák, P., Rosa, A., Znám, Š. (1996)
Acta Mathematica Universitatis Comenianae. New Series
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Martin Bača, James A. MacDougall, François Bertault, Mirka Miller, Rinovia Simanjuntak, Slamin (2003)
Discussiones Mathematicae Graph Theory
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In this paper we introduce a new type of graph labeling for a graph G(V,E) called an (a,d)-vertex-antimagic total labeling. In this labeling we assign to the vertices and edges the consecutive integers from 1 to |V|+|E| and calculate the sum of labels at each vertex, i.e., the vertex label added to the labels on its incident edges. These sums form an arithmetical progression with initial term a and common difference d. We investigate basic properties of these labelings,...
Bohdan Zelinka (1990)
Czechoslovak Mathematical Journal
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