LAUSR

Kirchhoff index of simplicial networks

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1 Published in 2021 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2021.05.012

Abstract: Abstract We introduce a high-dimensional analogue of the Kirchhoff index which is also known as total effective resistance. This analogue, which we call the simplicial Kirchhoff index K f ( X ) , is defined… read more here.

Keywords: kirchhoff index; analogue; simplicial networks; index simplicial ... See more keywords

Enumeration of the Additive Degree-Kirchhoff Index in the Random Polygonal Chains

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1 Published in 2022 at "Axioms"

DOI: 10.3390/axioms11080373

Abstract: The additive degree–Kirchhoff index is an important topological index. This paper we devote to establishing the explicit analytical expression for the simple formulae of the expected value of the additive degree–Kirchhoff index in a random… read more here.

Keywords: additive degree; kirchhoff index; degree kirchhoff;

Enumeration of the Multiplicative Degree-Kirchhoff Index in the Random Polygonal Chains

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1 Published in 2022 at "Molecules"

DOI: 10.3390/molecules27175669

Abstract: Multiplicative degree-Kirchhoff index is a very interesting topological index. In this article, we compute analytical expression for the expected value of the Multiplicative degree-Kirchhoff index in a random polygonal. Based on the result above, we… read more here.

Keywords: index; multiplicative degree; kirchhoff index; degree kirchhoff ... See more keywords

Kirchhoff Index and Degree Kirchhoff Index of Tetrahedrane-Derived Compounds

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1 Published in 2023 at "Symmetry"

DOI: 10.3390/sym15051122

Abstract: Tetrahedrane-derived compounds consist of n crossed quadrilaterals and possess complex three-dimensional structures with high symmetry and dense spatial arrangements. As a result, these compounds hold great potential for applications in materials science, catalytic chemistry, and… read more here.

Keywords: index; tetrahedrane derived; degree kirchhoff; derived compounds ... See more keywords

Degree Kirchhoff Index of Bicyclic Graphs

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1 Published in 2017 at "Canadian Mathematical Bulletin"

DOI: 10.4153/cmb-2016-063-5

Abstract: Abstract Let $G$ be a connected graph with vertex set $V\left( G \right)$ .The degree Kirchhoff index of $G$ is defined as ${{S}^{\prime }}\left( G \right)\,=\,\sum{_{\left\{ u,v \right\}\,\subseteq \,V\left( G \right)}d\left( u \right)d\left( v \right)R\left(… read more here.

Keywords: left right; kirchhoff index; right left; degree kirchhoff ... See more keywords