Results 11 to 20 of about 1,416,244 (110)

On regular graphs equienergetic with their complements [PDF]

Linear and Multilinear Algebra, 2020
We give necessary and sufficient conditions on the parameters of a regular graph Γ (with or without loops) such that . We study complementary equienergetic cubic graphs obtaining classifications up to isomorphisms for connected cubic graphs with single ...
Ricardo A. Podestá, Denis E. Videla
semanticscholar   +6 more sources

Generalized Paley graphs equienergetic with their complements [PDF]

Linear and Multilinear Algebra, 2022
We consider generalized Paley graphs $ \Gamma (k,q) $ Γ(k,q), generalized Paley sum graphs $ \Gamma ^+(k,q) $ Γ+(k,q), and their corresponding complements $ \bar \Gamma (k,q) $ Γ¯(k,q) and $ \bar \Gamma ^+(k,q) $ Γ¯+(k,q), for k = 3, 4.
Ricardo A. Podest'a, Denis E. Videla
semanticscholar   +5 more sources

More Equienergetic Signed Graphs [PDF]

Mathematics Interdisciplinary Research, 2017
The energy of signed graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. Two signed graphs are said to be equienergetic if they have same energy.
Harishchandra S. ‎Ramane, Mahadevappa M. Gundloor   +1 more
doaj   +3 more sources

Constructing Equienergetic Graphs Using Windmill Graph

Asian Research Journal of Mathematics
This study develops constructions of equienergetic graphs from a windmill graph and selected Cartesian products. Graph energy is taken as the sum of the absolute values of the adjacency eigenvalues, and two non-isomorphic graphs are equienergetic when ...
R. V. Rajalekshmi, J. Rajan
semanticscholar   +3 more sources

On equienergetic graphs and graph energy of some standard graphs with self loops

Proyecciones (Antofagasta)
Let GS be the graph of order n and containing σ self-loops. The energy E(GS) of graph GS is defined as E(GS)= Σni=1|λi- σ/n|,where λ1, λ2,…, λn, be the eigenvalues of the adjacency matrix of GS.
K. Popat, K. R. Shigala
semanticscholar   +4 more sources

Laplacian energy of union and Cartesian product and Laplacian equienergetic graphs

Kragujevac Journal of Mathematics, 2015
. The Laplacian energy of a graph G with n vertices and m edges is defined as LE(G) = ∑n i=1 |μi − 2m/n|, where μ1, μ2, . . . , μn are the Laplacian eigenvalues of G.
Ivan Gutman, Harishchandra Ramane
exaly   +3 more sources

Degree square sum equienergetic and hyperenergetic graphs

Malaya Journal of Matematik, 2020
Degree square sum matrix DSS(G) of a graph G is a square matrix of order equal to the order of a graph G with its (i, j)th entry as di +d j if i 6= j and zero otherwise, where di is the degree of the ith vertex of G. In this paper, we study degree square
B. B., C. E.
exaly   +3 more sources

Equienergetic chemical trees [PDF]

Journal of the Serbian Chemical Society, 2004
The energy E(G) of a graph G is the sum of the absolute values of the eigenvalues of G. Two graphs, G1 and G2, are said to be equienergetic if E(G1) = E(G2).
IVAN GUTMAN, DRAGAN STEVANOVIC, VLADIMIR BRANKOV   +2 more
doaj   +4 more sources

Locally Equienergetic Graphs [PDF]

Match Communications in Mathematical and in Computer Chemistry
For a given graph \( G \), let \( G^{(j)} \) denote the graph obtained by the deletion of vertex \( v_j \) from \( G \). The difference \( \mathscr{E}(G) - \mathscr{E}(G^{(j)}) \) quantifies the change in the energy of \( G \) upon the removal of \( v_j \
Cahit Dede, K. Popat
semanticscholar   +3 more sources

On Equienergetic, Hyperenergetic and Hypoenergetic Graphs [PDF]

Kragujevac Journal of Mathematics, 2020
The eigenvalue of a graph G is the eigenvalue of its adjacency matrix and the energy E(G) is the sum of absolute values of eigenvalues of graph G. Two non-isomorphic graphs G1 and G2 of the same order are said to be equienergetic if E(G1) = E(G2).
S. Vaidya, K. Popat
semanticscholar   +3 more sources