Results 31 to 40 of about 735,632 (298)

Smarandache Directionally n-Signed Graphs — A Survey [PDF]

open access: yes, 2013
For graph theory terminology and notation in this paper we follow the book [3]. All graphs considered here are finite and simple.
P. Siva Kota Reddy, Reddy, P.Siva Kota
core   +1 more source

COMMON-EDGE SIGNED GRAPH OF A SIGNED GRAPH [PDF]

open access: yesJournal of the Indonesian Mathematical Society, 2010
A Smarandachely k-signed graph (Smarandachely k-marked graph) is anordered pair....DOI : http://dx.doi.org/10.22342/jims.16.2.34.105 ...
P. Siva Kota Reddy   +2 more
openaire   +1 more source

Singed Total Domatic Number of a Graph [PDF]

open access: yes, 2010
The maximum number of functions in a signed total dominating family on G is the signed total domatic number of G. In this paper, some properties related signed total domatic number and signed total domination number of a graph are studied and found the ...
Shailaja S. Shirkol   +2 more
core   +1 more source

Weak signed Roman domination in graphs [PDF]

open access: yesCommunications in Combinatorics and Optimization, 2020
A weak signed Roman dominating function (WSRDF) of a graph $G$ with vertex set $V(G)$ is defined as a function $f:V(G)\rightarrow\{-1,1,2\}$ having the property that $\sum_{x\in N[v]}f(x)\ge 1$ for each $v\in V(G)$, where $N[v]$ is the closed ...
Lutz Volkmann
doaj   +1 more source

Chromatic Polynomials of Signed Book Graphs

open access: yesTheory and Applications of Graphs, 2022
For $m \geq 3$ and $n \geq 1$, the $m$-cycle \textit{book graph} $B(m,n)$ consists of $n$ copies of the cycle $C_m$ with one common edge. In this paper, we prove that (a) the number of switching non-isomorphic signed $B(m,n)$ is $n+1$, and (b) the ...
Deepak Sehrawat, Bikash Bhattacharjya
doaj   +1 more source

A Note on Path Signed Digraphs [PDF]

open access: yes, 2010
The concept of a line signed digraph is generalized to that of a path signed ...
S. Vijay   +5 more
core   +1 more source

Coloring problem of signed interval graphs [PDF]

open access: yesTransactions on Combinatorics, 2019
A signed graph $(G,\sigma)$ is a graph‎ ‎together with an assignment of signs $\{+,-\}$ to its edges where‎ ‎$\sigma$ is the subset of its negative edges‎.
Farzaneh Ramezani
doaj   +1 more source

Signed Graph Equation [PDF]

open access: yes, 2009
For standard terminology and notion in graph theory we refer the reader to Harary [7]; the non-standard will be given in this paper as and when required.
Reddy, P. Siva Kota   +3 more
core   +1 more source

On the Aα-Eigenvalues of Signed Graphs

open access: yesMathematics, 2021
For α∈[0,1], let Aα(Gσ)=αD(G)+(1−α)A(Gσ), where G is a simple undirected graph, D(G) is the diagonal matrix of its vertex degrees and A(Gσ) is the adjacency matrix of the signed graph Gσ whose underlying graph is G.
Germain Pastén, Oscar Rojo, Luis Medina
doaj   +1 more source

Online list coloring for signed graphs [PDF]

open access: yes, 2022
We generalize the notion of online list coloring to signed graphs. We define the online list chromatic number of a signed graph, and prove a generalization of Brooks’ Theorem.
White, Jacob A., Tupper, Melissa
core   +1 more source

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