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math.CO2023
Latin bitrades derived from quasigroup autoparatopisms
Nicholas Cavenagh, Raúl Falcón
In 2008, Cavenagh and Drápal, et al, described a method of constructing Latin trades using groups. The Latin trades that arise from this construction are entry-transitive (that is,…
math.CO2023
Determining the b-chromatic number of subdivision-vertex neighbourhood coronas
Raúl M. Falcón, M. Venkatachalam, S. Julie Margaret
Let and be two graphs, each one of them being a path, a cycle or a star. In this paper, we determine the -chromatic number of every subdivision-vertex neighbourhood coro…