Articles with "vertex degree" as a keyword



Five-vertex degree graphs of nonsolvable groups

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Published in 2021 at "Journal of Pure and Applied Algebra"

DOI: 10.1016/j.jpaa.2020.106567

Abstract: Abstract The prime character degree graph Δ ( G ) of a finite group G is the graph whose vertices are all prime divisors of the degrees of the complex irreducible characters of G, with… read more here.

Keywords: graphs; five vertex; group; vertex degree ... See more keywords
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Vertex-Degree Based Topological Indices of Graphene

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Published in 2020 at "Polycyclic Aromatic Compounds"

DOI: 10.1080/10406638.2020.1785897

Abstract: A vertex-degree-based (VDB, for short) topological index φ is defined for a graph G with n vertices as φ(G)=∑1≤i≤j≤n−1mi,j(G)φ(i,j), where mi,j=mi,j(G) is the number of edges of G joining a vertex ... read more here.

Keywords: topological indices; degree based; based topological; indices graphene ... See more keywords

Analytical approach to network inference: Investigating degree distribution.

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Published in 2018 at "Physical Review E"

DOI: 10.1103/physreve.98.022311

Abstract: When the network is reconstructed, two types of errors can occur: false positive and false negative errors about the presence or absence of links. In this paper, the influence of these two errors on the… read more here.

Keywords: analytical approach; network; approach network; degree distribution ... See more keywords
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Small-world features of real-world networks

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Published in 2017 at "Journal of Communications and Networks"

DOI: 10.1109/jcn.2017.000046

Abstract: It is well known that there are a large number of complex networks that have vertex-degree distributions in a power-law form of ck−γ, where k is the degree variable and c and γ are scaling… read more here.

Keywords: real world; small world; world networks; world features ... See more keywords

Usefulness of Combinations of Vertex-Degree Weighted Path Indices and Elements of a Universal Matrix.

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Published in 2019 at "Acta chimica Slovenica"

DOI: 10.17344/acsi.2019.5346

Abstract: The mutually optimized combinations of vertex-degree weighted path indices and the vertex-degree vertex-distance weighted elements of the Universal matrix were applied in the way of TInew = ?kN×PN(aN,bN,...) + kij×uij(aij,bij,cij). They were correlated to the… read more here.

Keywords: weighted path; path indices; degree weighted; combinations vertex ... See more keywords

Vertex-degree-based topological indices of arbitrary sets of hexagons in the regular hexagonal grid

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Published in 2024 at "Applicable Analysis and Discrete Mathematics"

DOI: 10.2298/aadm230901002c

Abstract: Vertex-degree-based indices have been widely used for describing and predicting physical, chemical and biological properties of molecules. They are expressed through the numbers mi,j of the edges connecting the vertices of degrees i and j.… read more here.

Keywords: degree based; vertex degree; sets hexagons; regular hexagonal ... See more keywords

Extremal vertex-degree function index of trees with some given parameters

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Published in 2025 at "Filomat"

DOI: 10.2298/fil2502659s

Abstract: For a graph G, the vertex-degree function index of G is defined as Hf (G) = ?u?V(G) f(degG(u)), where degG(u) stands for the degree of vertex u in G and f(x) is a function defined… read more here.

Keywords: vertex degree; function; index trees; degree function ... See more keywords