On an exact sequence related to a graph (Q1922871)

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scientific article; zbMATH DE number 930068
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English
On an exact sequence related to a graph
scientific article; zbMATH DE number 930068

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    On an exact sequence related to a graph (English)
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    23 March 1997
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    The five problems of counting component colorings, vertex colorings, arc colorings, cocycles and switching equivalence classes of a graph with respect to a finite field up to isomorphism are related by an exact sequence that stems from a coboundary operator. This cohomology is presented, and counting formulas are given for each of the five problems. Finally, a topological application is given.
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    colorings
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    exact sequence
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    cohomology
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