As many readers may know, graph theory is a fundamental branch of mathematics that
explores networks made up of nodes and edges, focusing on their paths, structures, and …

Graph theory is afundamental branch of mathematicsthat studiesnetworksconsisting of
nodes (vertices) and their connections (edges). Extensive research has been conducted on …

Consider the problem of estimating the entries of a large matrix, when the observed entries
are noisy versions of a small random fraction of the original entries. This problem has …

Recently, it became apparent that a large number of the most interesting structures and
phenomena of the world can be described by networks. To develop a mathematical theory of …

We consider sequences of graphs (Gn) and define various notions of convergence related to
these sequences:“left convergence” defined in terms of the densities of homomorphisms …

We introduce a method for the theoretical analysis of exponential random graph models.
The method is based on a large-deviations approximation to the normalizing constant …

In this paper, we conduct a comprehensive study of Trees, Forests, and Paths within the
framework of Fuzzy and Neutrosophic Graphs. Graph theory, known for its wide-ranging …

We develop a clear connection between deFinetti's theorem for exchangeable arrays (work
of Aldous--Hoover--Kallenberg) and the emerging area of graph limits (work of Lovasz and …

Large graphs are sometimes studied through their degree sequences (power law or regular
graphs). We study graphs that are uniformly chosen with a given degree sequence. Under …

Asymptotic extremal combinatorics deals with questions that in the language of model theory
can be re-stated as follows. For finite models M, N of an universal theory without constants …