Recent work has exposed the idea that interesting quantum-like (QL) probability laws,
including interference effects, can be manifest in classical systems. Here, we propose a …

The Estrada index of a graph/network is defined as the trace of the adjacency matrix
exponential. It has been extended to other graph-theoretic matrices, such as the Laplacian …

Sažetak The total π-electron energy, as calculated within the Hückel tight-binding molecular
orbital approximation, is a quantum-theoretical characteristic of conjugated molecules that …

Let graph energy is a graph--spectrum--based quantity‎,‎ introduced in the 1970s‎.‎ After a
latent period of 20--30 years‎,‎ it became a popular topic of research both‎‎ in mathematical …

This contribution gives an extensive study on spectra of mixed graphs via its Hermitian
adjacency matrix of the second kind (N-matrix for short) introduced by Mohar [25]. This …

In this study we derive certain upper bounds for the largest eigenvalue (called the index and
denoted λ 1) of a signed graph. In particular, we prove the following upper bound: λ 1 2≤ …

Let K q, C q and P q denote the complete graph, the cycle and the path with q vertices,
respectively. We use Q (G) to denote the signless Laplacian matrix of a simple undirected …

A 2-connected graph G is minimally 2-connected if deleting any arbitrary chosen edge of G
always leaves a graph which is not 2-connected. In this paper, we give sharp upper bounds …

This paper provides new observations on the Lovász θ-function of graphs. These include a
simple closed-form expression of that function for all strongly regular graphs, together with …

ENERGIES OF GRAPHS SURVEY, CENSUS, BIBLIOGRAPHY Ivan Gutman & Boris Furtula
Page 1 ENERGIES OF GRAPHS SURVEY, CENSUS, BIBLIOGRAPHY Ivan Gutman & Boris …