Results 11 to 20 of about 330 (45)
Negation Switching Equivalence in Signed Graphs [PDF]
Unless mentioned or defined otherwise, for all terminology and notion in graph theory the reader is refer to [8].
Reddy, Siva Kota
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Additive List Coloring of Planar Graphs with Given Girth
An additive coloring of a graph G is a labeling of the vertices of G from {1, 2, . . . , k} such that two adjacent vertices have distinct sums of labels on their neighbors.
Brandt Axel +2 more
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Switching Equivalence in Symmetric n-Sigraphs-V [PDF]
Introducing a new notion S-antipodal symmetric n-sigraph of a symmetric n-sigraph and its properties are obtained. Also giving the relation between antipodal symmetric n-sigraphs and S-antipodal symmetric n-sigraphs.
Geetha, M.C. +2 more
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A bivariate chromatic polynomial for signed graphs [PDF]
We study Dohmen--P\"onitz--Tittmann's bivariate chromatic polynomial $c_\Gamma(k,l)$ which counts all $(k+l)$-colorings of a graph $\Gamma$ such that adjacent vertices get different colors if they are $\le k$.
Beck, Matthias, Hardin, Mela
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A Note On Jump Symmetric n-Sigraph [PDF]
For standard terminology and notion in graph theory we refer the reader to West; the nonstandard will be given in this paper as and when required.
Malathi, H.A., Savithri, H. C.
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The H-Line Signed Graph of a Signed Graph [PDF]
For standard terminology and notion in graph theory we refer the reader to Harary; the non-standard will be given in this paper as and when required.
Rangarajan, R. +2 more
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A note on a walk-based inequality for the index of a signed graph
We derive an inequality that includes the largest eigenvalue of the adjacency matrix and walks of an arbitrary length of a signed graph. We also consider certain particular cases.
Stanić Zoran
doaj +1 more source
Antimagic Labelings of Weighted and Oriented Graphs [PDF]
A graph $G$ is $k$-$weighted-list-antimagic$ if for any vertex weighting $\omega\colon V(G)\to\mathbb{R}$ and any list assignment $L\colon E(G)\to2^{\mathbb{R}}$ with $|L(e)|\geq |E(G)|+k$ there exists an edge labeling $f$ such that $f(e)\in L(e)$ for ...
Berikkyzy, Zhanar +4 more
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Total Minimal Dominating Signed Graph [PDF]
Cartwright and Harary considered graphs in which vertices represent persons and the edges represent symmetric dyadic relations amongst persons each of which designated as being positive or negative according to whether the nature of the relationship is ...
Reddy, Siva Kota, Vijay, S.
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A Study on Integer Additive Set-Valuations of Signed Graphs [PDF]
Let $\N$ denote the set of all non-negative integers and $\cP(\N)$ be its power set. An integer additive set-labeling (IASL) of a graph $G$ is an injective set-valued function $f:V(G)\to \cP(\N)-\{\emptyset\}$ such that the induced function $f^+:E(G) \to
Germina, K. A., Sudev, N. K.
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