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- W2161037765 abstract "A Signed graph (or sigraph in short) is an ordered pair S = (G, σ), where G is a graph G = (V, E) and σ : E → {+, −} is a function from the edge set E of G into the set {+, −}. For a positive integer n > 1, the unitary Cayley graph X n is the graph whose vertex set is Z n , the integers modulo n and if U n denotes set of all units of the ring Z n , then two vertices a, b are adjacent if and only if a − b ∈ U n . In this paper, we have obtained a characterization of balanced and clusterable unitary Cayley ring sigraph [Formula: see text]. Further, we have established a characterization of canonically consistent unitary Cayley ring sigraph [Formula: see text], where n has at most two distinct odd primes factors. Also sign-compatibility has been worked out for the same." @default.
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- W2161037765 date "2013-12-01" @default.
- W2161037765 modified "2023-10-03" @default.
- W2161037765 title "On The Unitary Cayley Ring Signed Graphs$S_n^oplus$" @default.
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- W2161037765 doi "https://doi.org/10.1142/s0219265913500205" @default.
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