Energy of a graph and Randic index

G Arizmendi, O Arizmendi - Linear Algebra and its Applications, 2021 - Elsevier
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[PDF][PDF] A lower bound for graph energy in terms of minimum and maximum degrees

S Akbari, M Ghahremani… - … Math. Comput. Chem, 2021 - match.pmf.kg.ac.rs
The energy of a graph G, denoted by E (G), is defined as the sum of absolute values of all
eigenvalues of G. In (MATCH Commun. Math. Comput. Chem. 83 (2020) 631–633) it was …

[PDF][PDF] On Orderenergetic graphs

BR Rakshith, KC Das - MATCH–Communications in …, 2024 - match.pmf.kg.ac.rs
Let G be a simple graph of order n. The eigenvalue of a graph G is the eigenvalue of its
adjacency matrix. The energy E (G) of G is the sum of absolute values of its eigenvalues. A …

A graph product and its applications in generating non-cospectral equienergetic graphs

SP Joseph - Proyecciones (Antofagasta), 2023 - SciELO Chile
A new graph product is defined in this paper and several applications of this product are
described. The adjacency matrix of the product graph is given and its complete spectrum in …

[PDF][PDF] Energy of extended bipartite double graphs

HS Ramane, B Parvathalu… - MATCH Commun. Math …, 2022 - researchgate.net
The energy of a graph is the sum of the absolute values of its eigenvalues. In this article, an
exact relation between the energy of extended bipartite double graph and the energy of a …

Energy of strong double graphs

HS Ramane, B Parvathalu, K Ashoka - The Journal of Analysis, 2022 - Springer
Let G be a graph of order n with the vertex set V (G)={v 1, v 2,…, vn}. The strong double
graph Sd (G) of a graph G is a graph obtained by taking two copies of G in which a vertex vi …

[PDF][PDF] A graph operation and its applications in generating orderenergetic and equienergetic graphs

SP Joseph - MATCH Communications in Mathematical and in …, 2022 - match.pmf.kg.ac.rs
A general graph operation is defined and some of its applications are given in this paper.
The adjacency spectrum of any graph generated by this operation is given. A method for …

[PDF][PDF] Non–Hypoenergetic Graphs with Nullity 2

S Akbari, SK Ghezelahmad - MATCH Commun. Math. Comput …, 2022 - match.pmf.kg.ac.rs
The energy of a graph G, denoted by E (G), is defined as the sum of absolute values of all
eigenvalues of G. A graph of order n, whose energy is less than n, ie, E (G)< n, is said to be …

Hypoenergetic and nonhypoenergetic digraphs

S Akbari, KC Das, SK Ghezelahmad… - Linear Algebra and its …, 2021 - Elsevier
The energy of a graph G, E (G), is the sum of absolute values of the eigenvalues of its
adjacency matrix. This concept was extended by Nikiforov to arbitrary complex matrices …

[PDF][PDF] Construction of Orderenergetic Graphs

Q Li, L Tang, Q Liu, M Lin - MATCH Commun. Math. Comput. Chem … - match.pmf.kg.ac.rs
The energy E (G) of a graph G is defined as the sum of the absolute values of the
eigenvalues of its adjacency matrix. If the energy of a graph G of order n is equal to its order …