5 papers
Generalized Sterboul--Deming Configurations
Daniel A Jaume, Cristian Panelo, Kevin Pereyra
Sterboul and Deming gave classical matching-based characterizations of non-Kőnig--Egerváry graphs through flower--posy and blossom-pair configurations. We consider two classical co…
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…
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…
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…
Using digraphs to compute determinant, permanent and Drazin inverse of circulant matrices with two parameters
Andrés M. Encinas, Daniel A. Jaume, Cristian Panelo +1
This work presents closed formulas for determinant, permanent, inverse, and Drazin inverse of circulant matrices with two non-zero coefficients.