Common neighborhood energy of commuting graphs of finite groups

RK Nath, WNT Fasfous, KC Das, Y Shang - Symmetry, 2021 - mdpi.com
The commuting graph of a finite non-abelian group G with center Z (G), denoted by Γ c (G), is
a simple undirected graph whose vertex set is G∖ Z (G), and two distinct vertices x and y are …

Some new lower bounds for energy of graphs

A Jahanbani - Applied Mathematics and Computation, 2017 - Elsevier
The energy of a graph G, denoted by E (G), is defined as the sum of the absolute values of
all eigenvalues of G. In this paper we present some new lower bounds for energy of non …

Inverse sum indeg energy of graphs

S Hafeez, R Farooq - IEEE Access, 2019 - ieeexplore.ieee.org
Suppose is an-vertex simple graph with vertex set and,, is the degree of vertex in. The ISI
matrix of is defined by if the vertices and are adjacent and otherwise. The-eigenvalues of are …

[图书][B] Energies of Graphs-Survey, Census, Bibliography

I Gutman, B Furtula - 2019 - scidar.kg.ac.rs
ENERGIES OF GRAPHS SURVEY, CENSUS, BIBLIOGRAPHY Ivan Gutman & Boris Furtula
Page 1 ENERGIES OF GRAPHS SURVEY, CENSUS, BIBLIOGRAPHY Ivan Gutman & Boris …

[PDF][PDF] Sum of powers of normalized signless Laplacian eigenvalues and Randic (normalized) incidence energy of graphs

SBB Altındag - Bull. Inter. Math. Virtual Inst, 2021 - imvibl.org
Let G be a simple connected graph and let α be a real number. The graph invariant σα (G)
introduced as the sum of the αth powers of the normalized signless Laplacian eigenvalues …

[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 …

[HTML][HTML] Some lower bounds for the energy of graphs

S Akbari, AH Ghodrati, MA Hosseinzadeh - Linear Algebra and Its …, 2020 - Elsevier
The singular values of a matrix A are defined as the square roots of the eigenvalues of A⁎ A,
and the energy of A denoted by E (A) is the sum of its singular values. The energy of a graph …

On the complementary equienergetic graphs

A Ali, S Elumalai, T Mansour, MA Rostami - arXiv preprint arXiv …, 2019 - arxiv.org
Energy of a simple graph $ G $, denoted by $\mathcal {E}(G) $, is the sum of the absolute
values of the eigenvalues of $ G $. Two graphs with the same order and energy are called …

[PDF][PDF] Bounds for graph energy in terms of vertex covering and clique numbers.

HA Ganie, U Samee, S Pirzada… - Electron. J. Graph …, 2019 - pdfs.semanticscholar.org
Let G be a simple graph with n vertices, m edges and having adjacency eigenvalues λ1,
λ2,..., λn. The energy E (G) of the graph G is defined as E (G)=∑ ni= 1| λi|. In this paper, we …

[PDF][PDF] Bounds on Nirmala energy of graphs

NF Yalçin - Acta Univ. Sapientiae Informatica, 2022 - intapi.sciendo.com
The Nirmala matrix of a graph and its energy have recently defined. In this paper, we
establish some features of the Nirmala eigenvalues. Then we propose various bounds on …