27 citations · 120 across the 16 of their papers we have counts for
13 papers · 1 filter
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,…
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…
Local fractional metric dimension of rotationally symmetric planar graphs arisen from planar chorded cycles
Shahbaz Ali, Raúl M. Falcón, Muhammad Khalid Mahmood
In this paper, a new family of rotationally symmetric planar graphs is described based on an edge coalescence of planar chorded cycles. Their local fractional metric dimension is e…
Computing autotopism groups of partial Latin rectangles: a pilot study
Rebecca J. Stones, Raúl M. Falcón, Daniel Kotlar +1
Computing the autotopism group of a partial Latin rectangle can be performed in a variety of ways. This pilot study has two aims: (a) to compare these methods experimentally, and (…
Enumerating partial Latin rectangles
Raúl M. Falcón, Rebecca J. Stones
This paper deals with distinct computational methods to enumerate the set of partial Latin rectangles on symbols with non-empty cells.…
Colouring games based on autotopisms of Latin hyper-rectangles
Stephan Dominique Andres, Raúl M. Falcón
Every partial colouring of a Hamming graph is uniquely related to a partial Latin hyper-rectangle. In this paper we introduce the -stabilized -colouring game for Hamming…