Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...

Additionally, research on planar graphs has yielded new insights into the anti-Ramsey numbers for paths and cycles, thereby bridging classical graph theory with geometric constraints [3].

To start, graphs are composed of two primary objects: nodes and edges. In the picture above, the nodes are the circles, while the lines that connect them are edges. Typically, nodes represent some ...

Welcome to the Graph Theory course repository on GitHub! This repository is a central location for all the materials related to the course, including lecture notes, assignments, code samples, and ...

The area of Data Analytics on graphs promises a paradigm shift, as we approach information processing of new classes of data which are typically acquired on irregular but structured domains (such as ...

Maurice M. Tatsuoka, Graph Theory and Its Applications in Educational Research: A Review and Integration, Review of Educational Research, Vol. 56, No. 3 (Autumn, 1986), pp. 291-329 ...

Graph products and their structural properties have been studied extensively by many researchers. We investigate the Laplacian eigenvalues and eigenvectors of the product graphs for the four standard ...

The eigenspace of the adjacency matrix of a graph possesses important information about the network structure. However, analyzing the spectral space properties for directed graphs is challenging due ...