Null Decomposition of Unicyclic Graphs

Published 19 Jul 2019 in math.CO | (1907.08618v1)

Abstract: In this work we obtain basis for the null space of unicyclic graphs. We extend the null decomposition of trees from [11] for unicyclic graphs. As an application, we obtain closed formulas for the independence and matching numbers of unicyclic graphs just using the support of the graph.

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