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math.CO2024
Towards a solution of Archdeacon's conjecture on integer Heffter arrays
Marco Antonio Pellegrini, Tommaso Traetta
In this paper, we make significant progress on a conjecture proposed by Dan Archdeacon on the existence of integer Heffter arrays whenever the necessary conditions hol…
math.CO2024★ 1 cited
A sharp upper bound for the harmonious total chromatic number of graphs and multigraphs
M. Abreu, J. B. Gauci, D. Mattiolo +4
A proper total colouring of a graph is called harmonious if it has the further property that when replacing each unordered pair of incident vertices and edges with their colour…