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Advanced Search Results For "Connectivity"

1 - 10 of 38,283 results for
 "Connectivity"
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Extremal Harary Index of Graphs with Given Number of Vertices of Odd Degree.

Publication Type:Academic Journal

Source(s):Mathematical Problems in Engineering. 9/20/2022, p1-4. 4p.

Abstract:The Harary index is one of the most investigated topological indices in mathematical chemistry and in related disciplines, which can be used to describe the molecular structure and physical properties. Let G n , 2 k be the set of all connected graphs o...

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CYCLIC PERMUTATIONS IN DETERMINING CROSSING NUMBERS.

Publication Type:Academic Journal

Source(s):Discussiones Mathematicae: Graph Theory. 2022, Vol. 42 Issue 4, p1163-1183. 21p.

Abstract:The crossing number of a graph G is the minimum number of edge crossings over all drawings of G in the plane. Recently, the crossing numbers of join products of two graphs have been studied. In the paper, we extend know results concerning crossing numb...

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NESTED LOCALLY HAMILTONIAN GRAPHS AND THE OBERLY-SUMNER CONJECTURE.

Publication Type:Academic Journal

Source(s):Discussiones Mathematicae: Graph Theory. 2022, Vol. 42 Issue 4, p1281-1312. 32p.

Abstract:A graph G is locally P, abbreviated LP, if for every vertex v in G the open neighbourhood N(v) of v is non-empty and induces a graph with property P. Specifically, a graph G without isolated vertices is locally connected (LC) if N(v) induces a connecte...

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MORE ASPECTS OF ARBITRARILY PARTITIONABLE GRAPHS.

Publication Type:Academic Journal

Source(s):Discussiones Mathematicae: Graph Theory. 2022, Vol. 42 Issue 4, p1237-1261. 25p.

Abstract:A graph G of order n is arbitrarily partitionable (AP) if, for every sequence (n1, ..., np) partitioning n, there is a partition (V1, ..., Vp) of V(G) such that G[Vi] is a connected ni-graph for i = 1, ..., p. The property of being AP is related to oth...

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DISTANCE-LOCAL RAINBOW CONNECTION NUMBER.

Publication Type:Academic Journal

Source(s):Discussiones Mathematicae: Graph Theory. 2022, Vol. 42 Issue 4, p1027-1039. 13p.

Abstract:Under an edge coloring (not necessarily proper), a rainbow path is a path whose edge colors are all distinct. The d-local rainbow connection number lrcd(G) (respectively, d-local strong rainbow connection number lsrcd(G)) is the smallest number of colo...

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Computing Wiener and Hyper-Wiener Indices of Zero-Divisor Graph of ℤℊ3×ℤI1I2.

Publication Type:Academic Journal

Source(s):Journal of Function Spaces. 9/19/2022, p1-11. 11p.

Abstract:Let S = ℤ ℊ 3 × ℤ I 1 I 2 be a commutative ring where ℊ , I 1 and I 2 are positive prime integers with I 1 ≠ I 2 . The zero-divisor graph assigned to S is an undirected graph, denoted as Y S with vertex set V(Y (S)) consisting of all Zero-divisor of th...

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Vertex-Edge-Degree-Based Topological Properties for Hex-Derived Networks.

Publication Type:Academic Journal

Source(s):Complexity. 8/31/2022, p1-13. 13p.

Abstract:A topological index can be focused on uprising of a chemical structure into a real number. The degree-based topological indices have an active place among all topological indices. These topological descriptors intentionally associate certain physicoche...

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Comparisons of the Sombor Index of Alkane, Alkyl, and Annulene Series with Their Molecular Mass.

Publication Type:Academic Journal

Source(s):Journal of Chemistry. 8/10/2022, p1-7. 7p.

Abstract:Suppose G is an undirected simple graph. A topological index for G is a number with this property that it is invariant under all graph isomorphisms with applications in chemistry. The Sombor and reduced Sombor indices of G are defined as S O G = ∑ u v ...

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On Sum Degree-Based Topological Indices of Some Connected Graphs.

Publication Type:Academic Journal

Source(s):Mathematical Problems in Engineering. 7/30/2022, p1-19. 19p.

Abstract:In mathematical chemistry, molecular structure of any chemical substance can be expressed by a numeric number or polynomial or sequence of number which represents the whole graph is called topological index. An important branch of graph theory is the c...

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Topological Aspects of Molecular Networks: Crystal Cubic Carbons.

Publication Type:Academic Journal

Source(s):Complexity. 7/21/2022, p1-14. 14p.

Abstract:Theory of networks serves as a mathematical foundation for the construction and modeling of chemical structures and complicated networks. In particular, chemical networking theory has a wide range of utilizations in the study of chemical structures, wh...

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