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 ......
