Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1389
8
1
gregorian
2010
11
1
5
2
online
1
fulltext
en
Energy of Graphs, Matroids and Fibonacci Numbers
عمومى
General
پژوهشي
Research paper
<p>The energy E(G) of a graph G is the sum of the absolute values of the eigenvalues of G. In this article we consider the problem whether generalized Fibonacci constants $varphi_n$ $(ngeq 2)$ can be the energy of graphs. We show that $varphi_n$ cannot be the energy of graphs. Also we prove that all natural powers of $varphi_{2n}$ cannot be the energy of a matroid.</p>
Graph energy, Fibonacci numbers, Matroid.
55
60
http://ijmsi.ir/browse.php?a_code=A-10-1-85&slc_lang=en&sid=1
Saeid
Alikhani
10031947532846002146
10031947532846002146
Yes
Mohammad A.
Iranmanesh
10031947532846002147
10031947532846002147
No