Graph colouring remains a central topic in graph theory, providing the mathematical framework for assigning colours to the elements of a graph under specific constraints. In particular, the colouring ...
Planar graph algorithms constitute a pivotal area in theoretical computer science, addressing problems where graphs can be drawn on a plane without edge crossings. Among the myriad challenges in this ...
Barnette's Conjecture: Every 3-connected cubic planar bipartite graph is Hamiltonian. It is known that this is not true if you remove the "bipartite" condition, but the smallest 3-connected cubic ...
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