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pro vyhledávání: '"RAMANE, HARISHCHANDRA S."'
The graphs with all equal negative or positive eigenvalues are special kind in the spectral graph theory. In this article, several iterated line graphs $\mathcal{L}^k(G)$ with all equal negative eigenvalues $-2$ are characterized for $k\ge 1$ and the
Externí odkaz:
http://arxiv.org/abs/2205.02276
Publikováno v:
Acta Universitatis Sapientiae: Informatica, Vol 15, Iss 1, Pp 46-59 (2023)
The energy E(G) of a graph G is the sum of the absolute values of eigenvalues of G and the Seidel energy ES(G) is the sum of the absolute values of eigenvalues of the Seidel matrix S of G. In this paper, some relations between the energy and Seidel e
Externí odkaz:
https://doaj.org/article/f0e67e2b2062475c94bb247e541a72ab
Publikováno v:
Acta Universitatis Sapientiae: Informatica, Vol 14, Iss 1, Pp 84-103 (2022)
The transmission of a vertex u in a connected graph G is defined as σ(u) = Σv∈V(G) d(u, v) and reciprocal transmission of a vertex u is defined as rs(u)=∑v∈V(G)1d(u,v)rs(u) = \sum\nolimits_{v \in V\left( G \right)} {{1 \over {d\left( {u,v} \r
Externí odkaz:
https://doaj.org/article/12fa419d51494f9ab42e1f55b7a31603
Publikováno v:
Acta Universitatis Sapientiae: Informatica, Vol 13, Iss 2, Pp 195-219 (2021)
Let A and S be the adjacency and the Seidel matrix of a graph G respectively. A-energy is the ordinary energy E(G) of a graph G defined as the sum of the absolute values of eigenvalues of A. Analogously, S-energy is the Seidel energy ES(G) of a graph
Externí odkaz:
https://doaj.org/article/89cc9f1b1b884116b48ca9e9010f25be
The status of a vertex $u$ in a connected graph $G$, denoted by $\sigma_G(u)$, is defined as the sum of the distances between $u$ and all other vertices of a graph $G$. The first and second status connectivity indices of a graph $G$ are defined as $S
Externí odkaz:
http://arxiv.org/abs/1611.08270
Autor:
Ramane, Harishchandra S.1 hsramane@yahoo.com, Gutman, Ivan2 gutman@kg.ac.rs, Bhajantri, Kavita1 kavitabhajantri5@gmail.com, Kitturmath, Deepa V.1 deepakitturmath@gmail.com
Publikováno v:
Communications in Combinatorics & Optimization. 2023, Vol. 8 Issue 1, p193-205. 13p.
Publikováno v:
In Examples and Counterexamples June 2024 5
Autor:
Ramane, Harishchandra S.1 hsramane@yahoo.com, Bhajantri, Kavita1 kavitabhajantri5@gmail.com, Kitturmath, Deepa V.1 deepakitturmath@gmail.com
Publikováno v:
Communications in Combinatorics & Optimization. Summer/Autumn2022, Vol. 7 Issue 2, p275-300. 26p.
Publikováno v:
In AKCE International Journal of Graphs and Combinatorics September 2018
Autor:
RAMANE, HARISHCHANDRA S.1 hsramane@yahoo.com, PATIL, DANESHWARI D.1 daneshwarip@gmail.com, PISE, KARTIK S.1 pise.kartik@gmail.com
Publikováno v:
Transactions on Combinatorics. Mar2022, Vol. 11 Issue 1, p45-51. 7p.