14 citations · 48 across the 28 of their papers we have counts for
5 papers · 1 filter
Edge connectivity of simplicial polytopes
Vincent Pilaud, Guillermo Pineda-Villavicencio, Julien Ugon
We show that the graph of a simplicial polytope of dimension has no nontrivial minimum edge cut with fewer than edges, hence the graph is …
Exact Counts of s in Blow-Up Graphs
S. Y. Chan, K. Morgan, J. Ugon
Cycles have many interesting properties and are widely studied in many disciplines. In some areas, maximising the counts of -cycles are of particular interest. A natural candida…
Variational properties of the abstract subdifferential operator
Reinier Diàz Millàn, Nadezda Sukhorukova, Julien Ugon
Abstract convexity generalises classical convexity by considering the suprema of functions taken from an arbitrarily defined set of functions. These are called the abstract linear…
Application and issues in abstract convexity
Reinier Díaz Millán, Nadezda Sukhorukova, Julien Ugon
The theory of abstract convexity, also known as convexity without linearity, is an extension of the classical convex analysis. There are a number of remarkable results, mostly conc…
Bounds On The Inducibility Of Double Loop Graphs
Su Yuan Chan, Kerri Morgan, Julien Ugon
In the area of extremal graph theory, there exists a problem that investigates the maximum induced density of a -vertex graph in any -vertex graph . This is known as t…