• Corpus ID: 119668930

Some New Results on Integer Additive Set-Valued Signed Graphs

@article{Sudev2016SomeNR,
  title={Some New Results on Integer Additive Set-Valued Signed Graphs},
  author={Naduvath Sudev and P. K. Ashraf and K. A. Germina},
  journal={arXiv: General Mathematics},
  year={2016}
}
Let $X$ denotes a set of non-negative integers and $\mathscr{P}(X)$ be its power set. An integer additive set-labeling (IASL) of a graph $G$ is an injective set-valued function $f:V(G)\to \mathscr{P}(X)-\{\emptyset\}$ such that the induced function $f^+:E(G) \to \mathscr{P}(X)-\{\emptyset\}$ is defined by $f^+(uv)=f(u)+f(v);\ \forall\, uv\in E(G)$, where $f(u)+f(v)$ is the sumset of $f(u)$ and $f(v)$. An IASL of a signed graph is an IASL of its underlying graph $G$ together with the signature… 
1 Citations
A Study on Set-Valuations of Signed Graphs
Let $X$ be a non-empty ground set and $\mathcal{P}(X)$ be its power set. A set-labeling (or a set-valuation) of a graph $G$ is an injective set-valued function $f:V(G)\to \mathcal{P}(X)$ such that

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