期刊: LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 622 ()
Spectral characterization of graphs is a well-studied topic in spectral graph theory which has received a lot of attention from researchers. The spect......
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 624 ()
Y Let T, U be two Artin algebras and M-U(T) be a U-T-bimodule. In this paper, we study the extension dimension of the formal triangular matrix algebra......
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 628 ()
Let rho*(s, t) be the largest real root of the quadratic equation: (x - s + 2)(x - t + 1) - (n - s + 1)(s - 1) = 0 and F-s,F-t(n) := Ks-1 boolean OR (......
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 621 ()
We define a vertex weighted Bartholdi zeta function of a graph G, and give a determinant expression of it. Furthermore, we define a vertex weighted Ba......
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 622 ()
Identifying graphs with extremal properties is an extensively studied topic in spectral graph theory. In this paper, we study the log-concavity of a t......
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 628 ()
For 0 <= alpha <= 1, the A(alpha)-matrix of graph G is defined as A(alpha)(G) = alpha D(G) + (1 - alpha)A(G), where D(G) and A(G) are the diagon......
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 619 ()
For a signed graph Sigma, let chi(Sigma), lambda(1) and lambda(n) be the chromatic number, the maximum eigenvalue and the minimum eigenvalue of Sigma,......
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 619 ()
We present new combinatorial objects, which we call grid-labelled graphs, and show how these can be used to represent the quantum states arising in a ......
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 622 ()
By counting weighted Lukasiewicz paths and weighted Schroder paths, we obtain two Riordan arrays in which the bivariate Narayana polynomials occur in ......
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 624 ()
Let V be a finite-dimensional vector space over a field of characteristic two. As the main result of this paper, for every nilpotent element epsilon i......
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 627 ()
Let G be a connected graph and let T be an acyclic set of edges of G. A partial orientation sigma of G with respect to T is an orientation of the edge......
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 619 ()
The maximal energies of line graphs are determined over all graphs with fixed matching number, fractional matching number and bipartiteness, respectiv......
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 620 ()
For a graph G =(V, E) and i, j. is an element of V, denote by d(i), d(j) the degrees of vertices i, jin G. Let f(d(i), d(j)) > 0 be a function symm......
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 622 ()
In this paper, we consider the eigenvalue problem for the class of quasi-Cauchy-Vandermonde (qCV) matrices belonging to the class of generalized sign ......
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 628 ()
Two graphs are said to be D-cospectral if they have the same distance spectrum. A graph is said to be determined by its distance spectrum if there is ......