On certain associated graphs of set-valued signed graphs

Abstract : Let X be a non-empty set and let Σ be a signed graph, with corresponding underlying graph G and the signature σ. An injective function f : V (Σ) → P(X) is said to be a set-labeling of Σ if f is a set-labeling of the underlying graph G and the signature of Σ is defined by σ (uv) = (−1) | f (u)⊕ f (v)|. A signed graph Σ together with a set-labeling f is known as a set-labeled signed graph and is denoted by Σ f. In this paper, we discuss the characteristics of certain signed graphs associated with given set-valued signed graphs.
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P.K. Ashraf, K.A. Germina, Sudev Naduvath. On certain associated graphs of set-valued signed graphs. Malaya Journal of Matematik, University Press, 2019, 7 (1), pp.113-117. ⟨10.26637/MJM0701/0022⟩. ⟨hal-02263292⟩

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