Results 21 to 30 of about 355 (50)

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

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 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

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

PRIME WEIGHTED GRAPH IN CRYPTOGRAPHIC SYSTEM FOR SECURE COMMUNICATION

open access: yes, 2015
Cryptography is the study of techniques for ensuring the secrecy and authentication of the information. Public-key encryption schemes are secure only if the authenticity of the public-key is assured.
S. Agarwal, A. Uniyal
semanticscholar   +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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