In this paper, we find energy, Laplacian energy and signless Laplacian energy of a complete graph when perturbed by adding some vertices and edges.
Topics
Operator theory
REFERENCES
1.
K.C.
Das
, S.A.
Mojallal
, Relation between signless Laplacian energy, energy of a graph and its line graph.
Linear Algebra Appl.
493
, 91
–107
(2016
).2.
I.
Gutman
, The Energy of a Graph.
Ber. Math. Sat. Sekt. Forschungsz. Graz
, 103
, 1
–22
(1978
).3.
H.A.
Ganie
, S.
Pirzada
, On the bounds for signless Laplacian energy of a graph.
Discrete Appl. Math.
228
(10
), 3
–13
(2015
).4.
H.A.
Ganie
, S.
Pirzada
, E.T.
Baskoro
, On energy, Laplacian energy and p-fold graphs, Electron.
J. Graph Theory Appl.
3
(1
), 94
–107
(2015
).5.
H.A.
Ganie
, B.A.
Chat
and S.
Pirzada
, signless Laplacian energy of a graph and energy of a line graph.
Linear Algebra and its Applications
544
, 306
–324
(2018
).6.
Ji-Ming
Guo
, The Laplacian spectral radius of a Graph under perturbation.
An International Journal Compters and Mathematics with Applications
54
, 709
–720
(2007
).7.
Kinkar Ch.
Das
and Seyed Ahmad
Mojablal
, On Laplacian Energy of Graphs.
Discrete Mathematics
325
, 52
–64
(2014
).8.
S.
Pirzada
, H.A.
Ganie
, On the Laplacian eigenvalues of a graph and Laplacian energy.
Linear Algebra Appl.
486
, 454
–468
(2015
).9.
R.
Venkatesan
, P.
Elakkiya
and D. Rini
Dominic
, The eigenvalues of a graph under edge operations.
AIP Conference Proceedings
2112
, 020137
(2019
).
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2020
Author(s)
