activity
20242026
collaborators

9 papers

math.GR2026

On -sequenceability of odd ordered groups

Adrián Pastine, María Valentina Soldera Ruiz

We study the -sequenceability of finite groups of odd order. Building on the classical theory of -sequences and orthomorphisms, we explore two tools: the notion of …

math.CO2026

Commutative Distance-Regularity: Algebraic Hierarchies and Cayley Graph Constructions

Agustín Oromí, Adrián Pastine

This paper resolves several open questions regarding the algebraic and metric inheritance of distance-based regularities under graph products, with a particular focus on Commutativ…

math.CO2026

2-switch: transition and stability on forests and pseudofests

Victor N. Schvöllner, Adrián Pastine, Daniel A. Jaume

Given any two forests (pseudoforests) with the same degree sequence, we show that one can be transformed into the other by a sequence of 2-switches in such a way that all the inter…

math.CO2026

Induced paths and cycles in factor graphs of split graphs

Victor N. Schvöllner, Adrián Pastine

Let be a split graph with bipartition and let be the factor graph associated with , a multigraph on whose encodes the combinatorial information about 2-s…

math.CO2026

Inequalities Involving Core, Corona, and Critical Sets in General Graphs

Adrián Pastine, Kevin Pereyra

Let denote the cardinality of a maximum independent set. An independent set of is critical if …

math.CO2026

The 2-switch-degree of a graph

Victor N. Schvöllner, Adrián Pastine

In this work, we study the 2-switch-degree of a graph , that is, the degree of as a vertex of the realization graph associated with the degree sequence …