Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Rana Khoeilar"'
Publikováno v:
AIMS Mathematics, Vol 6, Iss 1, Pp 952-961 (2021)
Let $G$ be a simple graph with finite vertex set $V(G)$ and $S=\{-1,1,2\}$. A signed total Roman $k$-dominating function (STRkDF) on a graph $G$ is a function $f:V(G)\to S$ such that (i) any vertex $y$ with $f(y)=-1$ is adjacent to at least one verte
Externí odkaz:
https://doaj.org/article/54b7b8ea339c4d36a7511caaad284fbd
Publikováno v:
Computer Science Journal of Moldova, Vol 28, Iss 3(84), Pp 373-388 (2020)
An independent 2-rainbow dominating function (I$2$-RDF) on a graph $G$ is a function $f$ from the vertex set $V(G)$ to the set of all subsets of the set $\{1,2\}$ such that $\{x\in V\mid f(x)\neq \emptyset \}$ is an independent set of $G$ and for
Externí odkaz:
https://doaj.org/article/25317d79c22a46018a5a662be88530de
Publikováno v:
Computer Science Journal of Moldova, Vol 28, Iss 2(83), Pp 152-169 (2020)
A total $k$-rainbow dominating function (T$k$RDF) of $G$ is a function $f$ from the vertex set $V(G)$ to the set of all subsets of the set $\{1,\ldots,k\}$ such that (i) for any vertex $v\in V(G)$ with $f(v)=\emptyset$ the condition $\bigcup_{u \in N
Externí odkaz:
https://doaj.org/article/da5600cafd7c4e65bda4e761d81180c3
Publikováno v:
AIMS Mathematics, Vol 5, Iss 6, Pp 5564-5571 (2020)
We investigate some relationships between two vastly studied parameters of a simple graph $G$. These parameters include mixed domination number (denoted by $\gamma_m(G)$) and 2-independence number ($\beta_2(G)$). For a tree $T$, we obtain $\frac{3}{4
Externí odkaz:
https://doaj.org/article/f5afc336f5104a23a72d8cb208cd460e
Publikováno v:
Journal of Mathematics, Vol 2022 (2022)
The topological index is a molecular predictor that is commonly supported in the research of QSAR of pharmaceuticals to numerically quantify their molecular features. Theoretical and statistical study of drug-like compounds improves the drug design a
Externí odkaz:
https://doaj.org/article/5d52890537bc4c3e8d0c41c400b94d10
Publikováno v:
Journal of Chemistry, Vol 2021 (2021)
Irregularity indices are usually used for quantitative characterization of the topological structure of nonregular graphs. In numerous applications and problems in material engineering and chemistry, it is useful to be aware that how irregular a mole
Externí odkaz:
https://doaj.org/article/eafb27abe53c434db5763acb682df0f8
Publikováno v:
Journal of Mathematics, Vol 2021 (2021)
The ℱ-coindex (forgotten topological coindex) for a simple connected graph G is defined as the sum of the terms ζG2y+ζG2x over all nonadjacent vertex pairs x,y of G, where ζGy and ζGx are the degrees of the vertices y and x in G, respectively.
Externí odkaz:
https://doaj.org/article/c386c1c92861484d93916b004586b6d6
Publikováno v:
Journal of Mathematics, Vol 2021 (2021)
The Randić index of a graph G is defined as the sum of weights 1/dudv over all edges uv of G, where du and dv are the degrees of the vertices u and v in G, respectively. In this paper, we will obtain lower and upper bounds for the Randić index in t
Externí odkaz:
https://doaj.org/article/cd4195e164c949d09258ac9c7b8a0d86
Publikováno v:
Mathematics, Vol 9, Iss 10, p 1135 (2021)
A paired-dominating set of a graph G without isolated vertices is a dominating set of vertices whose induced subgraph has perfect matching. The minimum cardinality of a paired-dominating set of G is called the paired-domination number γpr(G) of G. T
Externí odkaz:
https://doaj.org/article/377f542256af442bb5a9337e4bd82a1e
Publikováno v:
Mathematics, Vol 9, Iss 4, p 439 (2021)
In order to increase the paired-domination number of a graph G, the minimum number of edges that must be subdivided (where each edge in G can be subdivided no more than once) is called the paired-domination subdivision number sdγpr(G) of G. It is we
Externí odkaz:
https://doaj.org/article/4b37aa5bbfcc45cea9177b65a77adc5e