Results 11 to 20 of about 330 (45)

Negation Switching Equivalence in Signed Graphs [PDF]

open access: yes, 2010
Unless mentioned or defined otherwise, for all terminology and notion in graph theory the reader is refer to [8].
Reddy, Siva Kota
core   +1 more source

Additive List Coloring of Planar Graphs with Given Girth

open access: yesDiscussiones Mathematicae Graph Theory, 2020
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
doaj   +1 more source

Switching Equivalence in Symmetric n-Sigraphs-V [PDF]

open access: yes, 2012
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
core   +1 more source

A bivariate chromatic polynomial for signed graphs [PDF]

open access: yes, 2014
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
core   +1 more source

A Note On Jump Symmetric n-Sigraph [PDF]

open access: yes, 2010
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.
core   +1 more source

The H-Line Signed Graph of a Signed Graph [PDF]

open access: yes, 2010
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
core   +1 more source

A note on a walk-based inequality for the index of a signed graph

open access: yesSpecial Matrices, 2021
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]

open access: yes, 2019
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
core   +3 more sources

Total Minimal Dominating Signed Graph [PDF]

open access: yes, 2010
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.
core   +1 more source

A Study on Integer Additive Set-Valuations of Signed Graphs [PDF]

open access: yes, 2015
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.
core   +4 more sources

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