… This statement motivated the present report. We decided to … in chemical applications of the
Laplacian matrix, because various results in chemical graph theory may be traced back to the …

… some of the many results known for Laplacian matrices. Its six sections are: Introduction…
Hosoya [70, 711 was among the first to study the distance matrix from a chemical perspective. It …

… We, thus, see that the largest eigenvalues of both the adjacency and the Laplacian matrix of
chemical trees are encountered in various theoretical approaches to saturated hydrocarbons…

… The Laplacian matrix ofGis defined asL(G)=D(G)– … the number of vertices, then each chemical
tree represents a particular isomer of CnH2n+2. Continuing our research on the Laplacian …

… That monograph appeared in the series Mathematical Chemistry Monographs as the third
volume … Below we give the Laplacian matrix of the vertex-labeled graph G1 (see structure A in …

… Such a graph gives rise to a dynamical system by treating each edge as a chemical
reaction under mass-action kinetics, with the … (1), with the Laplacian matrix of the graph …

… as a function of the eigenvalues of the Laplacian matrix and the average degree of G. We
investigate the Laplacian energy of the graphs whose energy was studied in the paper I. …

… artificial chemistry for the purpose of simulating large-scale chemical … While not directly
related to the structure of the Laplacian … f1,...,fn of the Laplacian matrix of a graph with n vertices. …

… techniques for differential equations, physical chemistry, biochemistry, computer science and
design … In this paper we survey some interesting results involving the Laplacian matrix. The …

… The Laplacian spectrum ofa graph We denote the molecular graph being considered by G
and its adjacency matrix … Then L= D- A is the Laplacian matrix of the graph G. Its eigenvalues …