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, ...

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 ...

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 ...

A theorem for coloring a large class of “perfect” mathematical networks could ease the way for a long-sought general coloring proof. Four years ago, the mathematician Maria Chudnovsky faced an all-too ...

This is a preview. Log in through your library . Abstract This paper describes the application of a vertex coloring procedure to a real life examination scheduling problem. The accessories used in ...

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This is a preview. Log in through your library . Abstract Let G be a graph and let S = (s₁, s₂,...,sk) be a non-decreasing sequence of positive integers. An S-packing coloring of G is a mapping c : ...