5 papers
Induced poset saturation in the hypergrid
R. Altar Ciceksiz, Victor Falgas-Ravry, Sabrina Lato +1
Set . The hypergrid is the collection of functions . We equip it with the natural partial order by letting when…
New Constructions of Distance-Biregular Graphs
Blas Fernández, Ferdinand Ihringer, Sabrina Lato +1
We construct a new family of distance-biregular graphs related to hyperovals and a new sporadic example of a distance-biregular graph related to Mathon's perp system. The infinite…
Cayley Incidence Graphs
Arnbjörg Soffía Árnadóttir, Alexey Gordeev, Sabrina Lato +2
Evra, Feigon, Maurischat, and Parzanchevski (2023) introduced a biregular extension of Cayley graphs. In this paper, we reformulate their definition and provide some basic properti…
P-Polynomial and Bipartite Coherent Configurations
Sabrina Lato
We introduce the notion of P-polynomial coherent configurations and show that they can have at most two fibres. We then introduce a class of two-fibre coherent configurations which…
Polynomial Characterizations of Distance-Biregular Graphs
Sabrina Lato
Fiol, Garriga, and Yebra introduced the notion of pseudo-distance-regular vertices, which they used to develop a new characterization of distance-regular graphs. Building on that w…