3 papers
math.CO2019
Biembeddings of cycle systems using integer Heffter arrays
Nicholas J. Cavenagh, D. Donovan, E. Ş. Yazici
In this paper we will show the existence of a face -colourable biembedding of the complete graph onto an orientable surface where each face is a cycle of a fixed length , for…
math.CO2018
The existence of square non-integer Heffter arrays
Nicholas J. Cavenagh, Jeff Dinitz, Diane Donovan +1
A Heffter array is an matrix such that each row and column contains filled cells, each row and column sum is divisible by and either or ap…
math.CO2015
Uniformly resolvable -designs of order and index
M. Gionfriddo, S. Kucukcifci, S. Milici +1
In this paper we consider the uniformly resolvable decompositions of the complete graph into subgraphs where each resolution class contains only blocks isomorphic to the sam…