3 papers
math.CO2026
On the nullspace of split graphs
Daniel A. Jaume, Victor N. Schvöllner, Cristian Panelo +1
We study the nullspace of the adjacency matrix of split graphs, whose vertex set can be partitioned into a clique and an independent set. We introduce the clique-kernel, a subspace…
math.CO2026
Generalized Edmonds-Sterboul-Deming configurations. Part 1: Sterboul-Deming graphs
Daniel A. Jaume, Cristian Panelo, Kevin Pereyra
We introduce two new types of graph configurations, the Jflower and the Jposy, which generalize the classical flower and posy configurations of Edmonds, Sterboul, and Deming in the…
math.CO2026
Generalized Edmonds-Sterboul-Deming configurations Part 3: Determinantal multiplicativity of the SD-KE decomposition of matchable graphs
Daniel A. Jaume, Diego G. Martinez, Cristian Panelo +1
In this work it is shown that the SD-KE decomposition is multiplicative under determinantal-type functions for graphs with perfect matchings, providing a new tool for the study of…