Results 91 to 100 of about 6,081 (145)

Energy, Laplacian energy of double graphs and new families of equienergetic graphs [PDF]

, 2013
For a graph $G$ with vertex set $V(G)=\{v_1, v_2, \cdots, v_n\}$, the extended double cover $G^*$ is a bipartite graph with bipartition (X, Y), $X=\{x_1, x_2, \cdots, x_n\}$ and $Y=\{y_1, y_2, \cdots, y_n\}$, where two vertices $x_i$ and $y_j$ are ...
A Ganie, Hilal, S. Pirzada
core  

Distance Spectra of Some Double Join Operations of Graphs

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In literature, several types of join operations of two graphs based on subdivision graph, Q‐graph, R‐graph, and total graph have been introduced, and their spectral properties have been studied. In this paper, we introduce a new double join operation based on (H1, H2)‐merged subdivision graph.
B. J. Manjunatha, B. R. Rakshith, K. N. Prakasha, N. V. Sayinath Udupa, Abdul Rauf Khan   +4 more
wiley   +1 more source

On the diameter and incidence energy of iterated total graphs

, 2018
The total graph of $G$, $\mathcal T(G)$ is the graph whose set of vertices is the union of the sets of vertices and edges of $G$, where two vertices are adjacent if and only if they stand for either incident or adjacent elements in $G$.
Lenes, Eber, Mallea-Zepeda, Exequiel, Robbiano, María, Rodríguez, Jonnathan   +3 more
core   +1 more source

Energies of Hypergraphs

, 2020
In this paper, we study energies associated with hypergraphs. More precisely, we obtain results for the incidence and the singless Laplacian energies of uniform hypergraphs.
Cardoso, Kauê, Trevisan, Vilmar
core   +1 more source

Laplacian coefficients of unicyclic graphs with the number of leaves and girth

, 2013
Let $G$ be a graph of order $n$ and let $\mathcal{L}(G,\lambda)=\sum_{k=0}^n (-1)^{k}c_{k}(G)\lambda^{n-k}$ be the characteristic polynomial of its Laplacian matrix. Motivated by Ili\'{c} and Ili\'{c}'s conjecture [A. Ili\'{c}, M.
Zhang, Jie, Zhang, Xiao-Dong
core   +1 more source

The signless Laplacian coefficients and incidence energy of bicyclic graphs

Linear Algebra and its Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jie Zhang, Xiao-Dong Zhang
openaire   +1 more source

On spectrum and energies of enhanced power graphs

Mathematics Open
The enhanced power graph [Formula: see text] of a group G is a simple graph with vertex set G and two distinct vertex are adjacent if and only if they belong to the same cyclic subgroup.
Pankaj Kalita, Prohelika Das
doaj   +1 more source

On a new conformal functional for simplicial surfaces

, 2015
We introduce a smooth quadratic conformal functional and its weighted version $$W_2=\sum_e \beta^2(e)\quad W_{2,w}=\sum_e (n_i+n_j)\beta^2(e),$$ where $\beta(e)$ is the extrinsic intersection angle of the circumcircles of the triangles of the mesh ...
A Ben-Israel, AI Bobenko, AI Bobenko, CD Hodgson, D Cvetković, FC Marques, GM Ziegler, K Crane, M Wardetzky, N Olischläger, TJ Willmore, U Clarenz, W Blaschke   +12 more
core   +1 more source

ENERGY OF NON-COPRIME GRAPH ON MODULO GROUP

Barekeng
A graph is a mathematical structure consisting of a non-empty set of vertices and a set of edges connecting these vertices. In recent years, extensive research on graphs has been conducted, with one of the intriguing topics being the representation of ...
Gusti Yogananda Karang, I Gede Adhitya Wisnu Wardhana, Manimaran Angamuthu   +2 more
doaj   +1 more source

On Zagreb index, signless Laplacian eigenvalues and signless Laplacian energy of a graph [PDF]

, 2022
S. Pirzada, Saleem A. Khan
openalex   +1 more source