ABSTRACT: We introduce the bichromatic triangle polynomial P G Δ ( k ) , a chromatic invariant that counts vertex colorings of a graph in which every designated triangular face uses exactly two colors ...

Graph cover problems form a critical area within discrete optimisation and theoretical computer science, addressing the challenge of selecting subsets of vertices (or edges) that satisfy predetermined ...

The art of finding patterns or communities plays a central role in the analysis of structured data such as networks. Community detection in graphs has become a field on its own. Real-world networks, ...

Abstract: The design of distributed optimization algorithms presents a multi-agent domain problem, offering advantages over traditional centralized optimization algorithms by requiring less ...

Directed graphs and their afferent/efferent capacities are produced by Markov modeling of the universal cover of undirected graphs simultaneously with the calculation of volume entropy. Using these ...

Graph algorithms are in wide use in DoD software applications, including intelligence analysis, autonomous systems, cyber intelligence and security, and logistics optimizations. These algorithms make ...

Change Log – Tracks updates and modifications. The Task – General project description and requirements. Definitions – Key terms and structures used in the implementation. Constructors – Methods for ...

CS: Data Structures - Directed Graph DFS & BFS --- Use edge node structure for adjacency list (directed graph), custom queue algorithm for BFS, custom list class implementation for adjacency list. BFS ...

\[ \gdef\bias{\mathrm{bias}} \gdef\deg{\mathrm{deg}} \gdef\indeg{\mathrm{indeg}} \gdef\outdeg{\mathrm{outdeg}} \gdef\Snap{\mathrm{Snap}} \gdef\RSnap{\mathrm{RefSnap ...