28 citations · 216 across the 97 of their papers we have counts for
110 papers
Hypertopes with prescribed diagram symmetries
Dimitri Leemans, Pablo Spiga, Philippe Tranchida
Let be a finite connected simple graph with at least two vertices. We construct a finite regular hypertope whose diagram is the graph with every edg…
Sharp bounds for intervals in finite subgroup lattices
Sebastien Palcoux, Pablo Spiga
Let H be a subgroup of a finite group G, and put n = [G:H] > 1. If p is the least prime divisor of n, we prove that the number of subgroups K with H <= K <= G is less than c(p) n^(…
The base size of vertex-transitive cubic graphs
Marco Barbieri, Luca Sabatini, Pablo Spiga
We prove that if is a finite connected vertex-transitive cubic graph, then either , or is a split Praeger--Xu graph, or there exist two vertices and su…
On the base size of a finite group on its action on the lattice of subgroups
JiaLi Du, Joy Morris, Pablo Spiga
Given a finite group , we investigate the base size of the action of the automorphism group of on the lattice of subgroups of . Our main result shows that this base size…
Some remarks on the orbit dimension of transitive groups and on the metric dimension of Johnson graphs
Alice Drera, Pablo Spiga
The orbit dimension (also called the separation number or rigidity index) of a permutation group with domain is the minimum cardinality of a subset s…
Asymptotic enumeration of Haar graphical representations
Yunsong Gan, Pablo Spiga, Binzhou Xia
This paper represents a significant leap forward in the problem of enumerating vertex-transitive graphs. Recent breakthroughs on symmetry of Cayley (di)graphs show that almost all…