Results 11 to 20 of about 251,801 (209)
Color Energy Of A Unitary Cayley Graph
Discussiones Mathematicae Graph Theory, 2014 Let G be a vertex colored graph. The minimum number χ(G) of colors needed for coloring of a graph G is called the chromatic number. Recently, Adiga et al.
Adiga Chandrashekar +2 more
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Journal for Research in Applied Sciences and Biotechnology, 2023 By given the adjacency matrix, laplacian matrix of a graph we can find the set of eigenvalues of graph in order to discussed about the energy of graph and laplacian energy of graph. (i.e. the sum of eigenvalues of adjacency matrix and laplacian matrix of a graph is called the energy of graph) and the laplacian energy of graph is greater or equal to ...
Najibullah Yousefi +2 more
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MathematicsThe incidence of edges on vertices is a cornerstone of graph theory, with profound implications for various graph properties and applications. Understanding degree distributions and their implications is crucial for analyzing and modeling real-world ...
A. R. Nagalakshmi +3 more
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Bounds for the Hückel Energy of a Graph [PDF]
The Electronic Journal of Combinatorics, 2009 Let $G$ be a graph on $n$ vertices with $r := \lfloor n/2 \rfloor$ and let $\lambda _1 \geq\cdots\geq \lambda _{n} $ be adjacency eigenvalues of $G$. Then the Hückel energy of $G$, HE($G$), is defined as $${\rm HE}(G) = \cases{ \displaystyle \; 2\sum_{i=1}^{r} \lambda_i, & \hbox{if $n= 2r$;} \cr \displaystyle \; 2\sum_{i=1}^{\phantom{l}r ...
Ebrahim Ghorbani +2 more
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Energy and Randić energy of special graphs
Proyecciones (Antofagasta), 2022 In this paper, we determine the Randić energy of the m-splitting graph, the m-shadow graph and the m-duplicate graph of a given graph, m being an arbitrary integer. Our results allow the construction of an infinite sequence of graphs having the same Randić energy. Further, we determine some graph invariants like the degree Kirchhoff index, the Kemeny’s
Jahfar, T. K., Chithra, A. V.
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On Relationships of Eigenvalue–Based Topological Molecular Descriptors
Acta Chimica Slovenica, 2020 Three eigenvalue-based topological molecular descriptors are compared using several datasets of alkanes. Two of them are well-known and frequently employed in various QSPR/QSAR investigations, and third-one is a newly derived whose predictive potential ...
Izudin Redžepović, Boris Furtula
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Laplacian Sum-Eccentricity Energy of a Graph [PDF]
Mathematics Interdisciplinary Research, 2017 We introduce the Laplacian sum-eccentricity matrix LSe of a graph G, and its Laplacian sum-eccentricity energy LSeE=∑ni=1|ηi|, where ηi=ξi-(2m/n) and where ξ1,ξ2,...,ξn are the eigenvalues of LSe. Upper bounds for LSeE are obtained. A graph is said to be
Biligirirangaiah Sharada +2 more
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On Laplacian resolvent energy of graphs [PDF]
Transactions on Combinatorics, 2023 Let $G$ be a simple connected graph of order $n$ and size $m$. The matrix $L(G)=D(G)-A(G)$ is the Laplacian matrix of $G$, where $D(G)$ and $A(G)$ are the degree diagonal matrix and the adjacency matrix, respectively. For the graph $G$, let $d_{1}\geq d_{
Sandeep Bhatnagar +2 more
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Advances in Applied Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jack H. Koolen, Vincent Moulton
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Certain Energies of Graphs for Dutch Windmill and Double-Wheel Graphs
Journal of Mathematics, 2022 Energy of a graph is defined as the sum of the absolute values of the eigenvalues of the adjacency matrix associated with the graph. In this research work, we find color energy, distance energy, Laplacian energy, and Seidel energy for the Dutch windmill ...
Jing Wu +4 more
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