3 papers
math.CO2025
Every -polynomial distance-regular graph is sharp over
Blas Fernández, Jae-Ho Lee, Jongyook Park
Let denote a distance-regular graph with vertex set and diameter . Fix a vertex . Let the field be either or . Let…
math.CO2025
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…
math.CO2025
On the -polynomial property of bipartite graphs admitting a uniform structure
Blas Fernández, Roghayeh Maleki, Štefko Miklavič +1
Let denote a finite, connected graph with vertex set . Fix and let denote the eccentricity of . For mutually distinct scalars $\{θ^*_i\}_{i=…