Search Results - "Sheikholeslami, Seyed Mahmoud"
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The Expected Values of Hyper Zagreb and Forgotten Topological Indices in Random Phenylene Chains
Published in Polycyclic aromatic compounds (14-09-2023)“…Hexagonal chains are a special class of data condensed benzenoid system and phenylene chains are a class of polycyclic aromatic compounds. In this paper, we…”
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Outer independent total double Italian domination number
Published in Computer science journal of Moldova (01-04-2024)“…If $G$ is a graph with vertex set $V(G)$, then let $N[u]$ be the closed neighborhood of the vertex $u\in V(G)$. A total double Italian dominating function…”
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Total Italian domatic number of graphs
Published in Computer science journal of Moldova (01-07-2023)“…Let $G$ be a graph with vertex set $V(G)$. An \textit{Italian dominating function} (IDF) on a graph $G$ is a function $f:V(G)\longrightarrow \{0,1,2\}$ such…”
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The Roman Domatic Problem in Graphs and Digraphs: A Survey
Published in Discussiones Mathematicae. Graph Theory (01-08-2022)“…In this paper, we survey results on the Roman domatic number and its variants in both graphs and digraphs. This fifth survey completes our works on Roman…”
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On the total double Roman domination
Published in IEEE access (01-01-2019)“…Let G=(V,E) be a simple graph. A double Roman dominating function (DRDF) on G is a function f from the vertex set V of G into {0,1,2,3} such that if f(u)=0,…”
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Signed Total Strong Roman Domination in Graphs
Published in Discrete mathematics letters (01-01-2022)Get full text
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On The Total Roman Domination in Trees
Published in Discussiones Mathematicae. Graph Theory (01-01-2019)“…A on a graph is a function : ( ) → {0, 1, 2} satisfying the following conditions: (i) every vertex for which ) = 0 is adjacent to at least one vertex for which…”
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Bounds on the global double Roman domination number in graphs
Published in Discussiones Mathematicae. Graph Theory (2024)Get full text
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On two conjectures concerning total domination subdivision number in graphs
Published in Journal of combinatorial optimization (15-08-2019)“…A subset S of vertices of a graph G without isolated vertex is a total dominating set if every vertex of V ( G ) is adjacent to some vertex in S . The total…”
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Italian Reinforcement Number in Graphs
Published in IEEE access (2019)“…An Italian dominating function (IDF) on a graph G = (V, E) is a function f:V → {0, 1, 2} satisfying the condition that for every vertex v ∈ V with f(v)=0,…”
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RESTRAINED ROMAN REINFORCEMENT NUMBER IN GRAPHS
Published in Ural mathematical journal (29-12-2022)“…A restrained Roman dominating function (RRD-function) on a graph \(G=(V,E)\) is a function \(f\) from \(V\) into \(\{0,1,2\}\) satisfying: (i) every vertex…”
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Outer-Independent Italian Domination in Graphs
Published in IEEE access (2019)“…An outer-independent Italian dominating function (OIIDF) on a graph <inline-formula> <tex-math notation="LaTeX">G </tex-math></inline-formula> with vertex set…”
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13
Restrained reinforcement number in graphs
Published in Theory and applications of graphs (Statesboro, Ga.) (24-07-2022)“…A set $S$ of vertices is a restrained dominating set of a graph $G=(V,E)$ if every vertex in $V\setminus S$ has a neighbor in $S$ and a neighbor in $V\setminus…”
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Signed Total Roman Edge Domination In Graphs
Published in Discussiones Mathematicae. Graph Theory (01-01-2017)“…Let G = (V,E) be a simple graph with vertex set V and edge set E. A signed total Roman edge dominating function of G is a function f : Ʃ → {−1, 1, 2}…”
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15
Domination Number, Independent Domination Number and 2-Independence Number in Trees
Published in Discussiones Mathematicae. Graph Theory (01-02-2021)“…For a graph , let ) be the domination number, ) be the independent domination number and ) be the 2-independence number. In this paper, we prove that for any…”
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A Note on the Paired-Domination Subdivision Number of Trees
Published in Mathematics (Basel) (01-01-2021)“…For a graph G with no isolated vertex, let γpr(G) and sdγpr(G) denote the paired-domination and paired-domination subdivision numbers, respectively. In this…”
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On the Paired-Domination Subdivision Number of Trees
Published in Mathematics (Basel) (01-05-2021)“…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…”
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On the Paired-Domination Subdivision Number of a Graph
Published in Mathematics (Basel) (01-02-2021)“…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…”
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Outer-independent k-rainbow domination
Published in Journal of Taibah University for Science (11-12-2019)“…An outer-independent k-rainbow dominating function of a graph G is a function f from to the set of all subsets of such that both the following hold: (i)…”
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On the Outer-Independent Double Roman Domination of Graphs
Published in Frontiers in applied mathematics and statistics (05-02-2021)“…An outer-independent double Roman dominating function (OIDRDF) of a graph G is a function h : V ( G ) → { 0,1,2,3 } such that i) every vertex v with f ( v ) =…”
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