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18 April 2024
 
  » arxiv » 2006.3584

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Characterizations of Some Parity Signed Graphs
Mukti Acharya ; Joseph Varghese Kureethara ; Thomas Zaslavsky ;
Date 5 Jun 2020
AbstractWe describe parity labelings of signed graphs; equivalently, cuts of the underlying graph that have nearly equal sides. We characterize the balanced signed graphs which are parity signed graphs. We give structural characterizations of all parity signed stars, bistars, cycles, paths and complete bipartite graphs. The rna number of a graph is the smallest cut size that has nearly equal sides; we find it for a few classes of parity signed graphs.
Source arXiv, 2006.3584
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