Graph reconfiguration and colouring problems investigate the transition between feasible solutions of a graph colouring instance. The central challenge is to determine a series of elementary vertex ...

The graph colouring problem, a classic NP-hard challenge, is central to many practical applications such as scheduling, resource allocation and network management. Recent advances have seen the ...

Abstract: The graph coloring problem involves coloring the nodes of a graph using the minimum number of colors such that no two adjacent nodes share the same color. This NP-hard problem has various ...

A Python-based interactive dashboard demonstrating how graph coloring algorithms can optimize task scheduling in multi-region cloud environments. This project combines concepts from graph theory, ...

A timetable can be thought of as an assignment of timeslots to different events in any institution. So, we made this simple “Scheduling of Class timetable using Graph Coloring” where each color ...

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 ...

Let G be a graph and k a natural number. A k-coloring of G is a map c that maps the vertices of G into the set {1, 2, ..., k} (whose elements are called colors) such that no two adjacent vertices are ...

Four years ago, the mathematician Maria Chudnovsky faced an all-too-common predicament: how to seat 120 wedding guests, some of whom did not get along, at a dozen or so conflict-free tables. Luckily, ...