Artículos (actualizado nov-2025)

2026 

2025 

1. Vulnerability Parameters in Balanced Blow-Ups of Graphs
   Revista: preprint
   Autores: Daniel A. Jaume, Kevin Pereyra, Denis E. Videla  

2. On the minimum degree of minimal k-{1,2}-factor critical graphs
   Revista: Opuscula Mathematica (submitted)
   Autores: Daniel A. Jaume, Kevin Pereyra

3. Toward a structural characterization of unimodular graphs with a unique perfect matching (II)
   Revista: Discrete Mathematics (submitted)
   Autores: Kevin Pereyra, Cristian Panelo, Daniel Jaume

4. Core nilpotent decomposition in RM graphs
   Revista: preprint
   Autores: Daniel A. Jaume, Adrián Pastine, Cristian Panelo, Marco Puliti, Kevin Pereyra

5. Extremal Rank Graphs
   Revista: preprint
   Autores: Daniel A. Jaume, Vadim E. Levit, Eugen Mandrescu, Gonzalo Molina, Kevin Pereyra

6. On Sachs-Critical Graphs: Characterization, Structure, and Criticality Index
   Revista: Discrete Applied Mathematics (submitted)
   Autores: Daniel A. Jaume, Cristian Panelo, Kevin Pereyra, Diego G. Martinez

7. On the nullspace of split graphs
   Revista: Linear Algebra and Its Applications (submitted)
   Autores: Daniel A. Jaume, Kevin Pereyra, Cristian Panelo, Victor N. Schvöllner

8. König-Egerváry and Sterboul-Deming Properties in Graph Products
   Revista: Discrete Mathematics (submitted)
   Autores: Kevin Pereyra, Adrián Pastine

9. Inequalities Involving Core, Corona, and Critical Sets in General Graphs
   Revista: Discrete Mathematics (submitted)
   Autores: Kevin Pereyra, Adrián Pastine

10. On Bipartite-Almost Bipartite Graphs and the Determinantal Factorization
    Revista: Discrete Applied Mathematics (submitted)
    Autores: Kevin Pereyra

11. On R-disjoint graphs: a generalization of almost bipartite non-König-Egerváry graphs
    Revista: preprint
    Autores: Kevin Pereyra

12. Determinantal Properties of Berge–Dilations and Matching Structures
    Revista: preprint
    Autores: Kevin Pereyra

13. The SD-KE and Gallai-Edmonds Decompositions: A Structural Connection
    Revista: Discrete Applied Mathematics (submitted)
    Autores: Kevin Pereyra

14. Sterboul-Deming Graphs and Posy-Factors
    Revista: preprint
    Autores: Kevin Pereyra
    
    

15. Sterboul-Deming Graphs: Characterizations
    Revista: preprint
    Autores: Kevin Pereyra
    
    

16. A Generalization of Hall's Theorem via the FPKE-Larson Decomposition of graphs
    Revista: preprint
    Autores: Cristian Panelo, Kevin Pereyra
    
    

17. Determinantal SD-KE Decomposition Theorem for General Graphs
    Revista: preprint
    Autores: Kevin Pereyra
    
    

18. On blossom–activity decomposition and the OCD class of graphs
    Revista: The Electronic Journal of Combinatorics (submitted)
    Autores: Daniel A. Jaume, Kevin Pereyra
    
    

19. On the Structure of Saturated Graphs
    Revista: preprint
    Autores: Daniel A. Jaume, Marco Puliti, Kevin Pereyra, Luis Medina
    
    

20. A note on SD-KE decomposition and critical independent sets of graphs with perfect matching
    Revista: Discrete Mathematics (submitted)
    Autores: Daniel A. Jaume, Agustina Ledezma, Valentina Soldera, Kevin Pereyra
    
    

21. On the Kőnig-Egerváry index of a graph
    Revista: Discrete Applied Mathematics
    Autores: Daniel A. Jaume, Vadim E. Levit, Eugen Mandrescu, Gonzalo Molina, Kevin Pereyra
    
    

22. Generalized Matching Structures via Sachs Subgraphs
    Revista: Discrete Mathematics (submitted)
    Autores: Cristian Panelo, Kevin Pereyra
    
    

23. Generalized Edmonds-Sterboul-Deming configurations Part 3: Determinantal multiplicativity of the SD-KE decomposition of matchable graphs
    Revista: Discrete Mathematics (submitted)
    Autores: Daniel A. Jaume, Cristian Panelo, Kevin Pereyra, Diego G. Martinez
    
    

24. Generalized Edmonds-Sterboul-Deming configurations. Part 1: Sterboul-Deming graphs
    Revista: Discrete Mathematics (submitted)
    Autores: Daniel A. Jaume, Cristian Panelo, Kevin Pereyra
    
    

25. Graphs with large independent number and determinantal properties of matchable Kőnig-Egerváry graphs
    Revista: Journal of Graph Theory (submitted)
    Autores: Daniel A. Jaume, Cristian Panelo, Kevin Pereyra, Diego G. Martinez, Gonzalo Molina
    
    

26. k-Sachs Critical Graphs
    Revista: Discrete Applied Mathematics
    Autores: Daniel A. Jaume, Cristian Panelo, Kevin Pereyra, Diego G. Martinez
    
    

27. Toward a structural characterization of unimodular graphs with a unique perfect matching
    Revista: Discrete Mathematics (submitted)
    Autores: Daniel A. Jaume, Cristian Panelo, Kevin Pereyra, Diego G. Martinez
    
    

28. New Proofs of Hall’s and Kőnig’s Theorems
    Revista: American Mathematical Monthly
    Autores: Daniel A. Jaume, Kevin Pereyra

Artículos en progreso

1. Core-Nilponente splits
   Revista:
   Autores: Kevin Pereyra, Cristian Panelo

2. Drazin splits and threshold
   Revista:
   Autores: Kevin Pereyra, Cristian Panelo

3. Extensions of Menger’s Theorem to Hall's graphs
   Revista:
   Autores: Kevin Pereyra
   
   

4. On the Permanent and Transversal Numbers in SD Graphs
   Revista:
   Autores: Kevin Pereyra
   
   

5. Structural Decomposition of Graphs via Sachs Subgraphs
   Revista:
   Autores: Kevin Pereyra
   
   

6. A Note on König–Egerváry Properties in Generalized Hypergraphs
   Revista:
   Autores: Kevin Pereyra

7. Vulnerability Parameters and SDKE decomposition
   Revista:
   Autores: Kevin Pereyra

8. On the minimum degree factor conjecture
   Revista:
   Autores: Kevin Pereyra

Libros

1. COMBINATORIA MENGERIANA: El Teorema de Menger como unicador de la Combinatoria Elemental, Autores: Daniel Alejandro Jaume y Kevin Pereyra. Libro en desarrollo.

2. Notas para el COMCA 2025, Autores: Daniel Alejandro Jaume y Kevin Pereyra. 

Tesis

1. Tesis de licenciatura (2024): 

2. Tesis de maestría (2025): 

3. Tesis de doctorado (2026):