23 citations · 59 across the 28 of their papers we have counts for
5 papers · 1 filter
New methods to attack the Buratti-Horak-Rosa conjecture
M. A. Ollis, Anita Pasotti, Marco A. Pellegrini +1
The conjecture, still widely open, posed by Marco Buratti, Peter Horak and Alex Rosa states that a list of positive integers not exceeding $\left\lfloor \frac{v}{2}\right…
Relative Heffter arrays and biembeddings
Simone Costa, Anita Pasotti, Marco Antonio Pellegrini
Relative Heffter arrays, denoted by , have been introduced as a generalization of the classical concept of Heffter array. A is an $…
A generalization of Heffter arrays
Simone Costa, Fiorenza Morini, Anita Pasotti +1
In this paper we define a new class of partially filled arrays, called relative Heffter arrays, that are a generalization of the Heffter arrays introduced by Archdeacon in 2015. Le…
A reduction of the spectrum problem for odd sun systems and the prime case
Marco Buratti, Anita Pasotti, Tommaso Traetta
A -cycle with a pendant edge attached to each vertex is called a -sun. The existence problem for -sun decompositions of , with odd, has been solved only when $k=3…
A tour problem on a toroidal board
Simone Costa, Marco Dalai, Anita Pasotti
In this paper we study a tour problem that we came cross while studying biembeddings and Heffter arrays, see [D.S. Archdeacon, Heffter arrays and biembedding graphs on surfaces, El…