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              <text>Characterizations of some parity signed graphs</text>
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              <text>We describe parity labellings of signed graphs: equivalently, cuts of the underlying graph that have nearly equal sides. We characterize the bal-anced signed graphs which are parity signed graphs. We give structural characterizations of all parity signed stars, bistars, cycles, paths and com-plete bipartite graphs. The rna number of a graph is the smallest cut size that has nearly equal sides; we find this for a few classes of graphs.  The author(s).</text>
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              <text>Acharya M.; Kureethara J.V.; Zaslavsky T.</text>
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              <text>Australasian Journal of Combinatorics, Vol-81, pp. 89-100.</text>
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              <text>Acharya M., Centre for Mathematical Needs, Christ University, Bengaluru, Karnataka, India; Kureethara J.V., Centre for Mathematical Needs, Christ University, Bengaluru, Karnataka, India; Zaslavsky T., Department of Mathematical Sciences, Binghamton University, Binghamton, NY, United States</text>
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