Articles  (Updated February, 2026)

2026 

57. Exact Dominion of the Prism Graph: Enumeration by Congruence Class via Cyclic Words
 Revista: preprint
 Autores: Julian Allagan, Vladimir Deriglazov, Rogelio  Lopez, Kevin Pereyra


56. The Sachs structure via permanental rank of graphs
 Revista: preprint
 Autores: Kevin Pereyra


55. Edge List Infinite Motion Conjecture
Revista: preprint
 Autores: Kevin Pereyra, Marcin Stawiski


54. Null Decomposition of Jgraphs and Equivalence of Graph Decompositions  
 Revista: preprint
 Autores: Kevin Pereyra, Daniel Jaume


53. On the Null Decomposition of C4k-Free Almost-Bipartite Graphs  
 Revista: preprint
 Autores: Kevin Pereyra


52. Two disjoint maximum independent sets in graphs with few odd cycles  
 Revista: preprint
 Autores: Julian Allagan, Kevin Pereyra


51. Hall Numbers of Complete Multipartite Graphs and 2-Trees
Revista: preprint
 Autores: Julian Allagan, Peter Johnson, Kevin Pereyra


50. On the equivalence of Deficiency parameters
Revista: preprint
 Autores: Kevin Pereyra, Daniel A. Jaume


49. A Generalization of the Kőnig–Egerváry Collection Theorem
Revista: preprint
 Autores: Kevin Pereyra, Vadim Levit, Eugen Mandrescu


48. Null Decomposition in C4k-Free König–Egerváry Graphs 
Revista: preprint
 Autores: Kevin Pereyra


47. Graphs with core(G)=nucleus(G)
Revista: preprint
 Autores: Kevin Pereyra, Vadim Levit, Eugen Mandrescu


46. On Graphs with CritIndep(G) = Crown(G)
Revista: Discrete Applied Mathematics (submitted)
 Autores: Kevin Pereyra


45. A Characterization of Graphs Whose Core Is a Critical Independent Set
Revista: preprint
 Autores: Julian Allagan, Vadim Levit, Eugen Mandrescu,  Kevin Pereyra 


44. A Characterization of JGraphs via Independence Decomposition
Revista: preprint
 Autores: Kevin Pereyra, Daniel Jaume


43. On the permanental rank of minimal nullity graphs
Revista: preprint
 Autores: Kevin Pereyra, Daniel Jaume, Luis Medina


42. Characterizing ker(G)=core(G) through Graph Decompositions 
Revista: Discrete Applied Mathematics (submitted)
 Autores: Kevin Pereyra 


41. Structural and Polynomial-Time Results on Core and Corona in Odd-Bicyclic Graphs  
 Revista: Discrete Applied Mathematics (submitted)
 Autores: Kevin Pereyra 


40. On the Equivalence between Sachs Extendability and Sachs Criticality
Revista: Discrete Mathematics (submitted)
 Autores: Kevin Pereyra 


39. Characterization of k-Kőnig-Egerváry corona graphs  
 Revista: Discrete Mathematics (submitted)
 Autores: Kevin Pereyra, Vadim Levit, Eugen Mandrescu 


38. Core and Corona in 2-Bicritical Odd-Bicyclic Graphs
Revista: Discrete Applied Mathematics (submitted)
 Autores: Kevin Pereyra 


37. Unimodularity in C4k-free Graphs
 Revista: preprint
 Autores: Kevin Pereyra, Daniel Jaume, Cristian Panelo


36. On Graphs Satisfying α(G) − μ(G) = d(G)
 Revista: European Journal of Mathematics
 Autores: Kevin Pereyra, Daniel Jaume, Vadim Levit, Eugen Mandrescu 


35. On the structure of the matching gap conjecture 2µ* − 2µ = k0
Revista: preprint
 Autores: Kevin Pereyra, Daniel Jaume


34. On fractional matchings and the independence decomposition
Revista: preprint
 Autores: Kevin Pereyra, Daniel Jaume


33. Toughness, vulnerability parameters, and k-Sachs critical graphs
Revista: preprint
 Autores: Daniel Jaume, Kevin Pereyra, Denis Videla, Adrián Pastine


32. Flower-free graphs and fractional matchings
Revista: preprint
 Autores: Kevin Pereyra, Daniel Jaume, Cristian Panelo


31. A characterization of graphs with |corona(G)|+|core(G)|=2α(G)+1
 Revista: Discrete Applied Mathematics (submitted)
 Autores: Kevin Pereyra 


2025 

30. On the minimum degree of minimal  k-{1,2}-factor critical k-planar graphs
 Revista: Discrete Mathematics (submitted)
Autores: Kevin Pereyra 


29. Vulnerability Parameters in Balanced Blow-Ups of Graphs
 Revista:  Discrete Applied Mathematics (submitted)
Autores: Daniel Jaume, Kevin Pereyra, Denis Videla  


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


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


26. On the Independence of the Support of JGraphs  
 Revista: preprint
 Autores: Daniel Jaume, Cristian Panelo, Kevin Pereyra, Marco Puliti


25. Permanental rank of a graph and its structural relations
Revista: Journal of Combinatorial Theory B
 Autores: Daniel Jaume, Cristian Panelo, Adrián Pastine, Kevin Pereyra, Marco Puliti


24. A new structural upper bound for the rank of the adjacency matrix of a graph  
 Revista: Discrete Applied Mathematics (submitted)
 Autores: Daniel Jaume; Vadim Levit; Eugen Mandrescu; Gonzalo Molina; Cristian Panelo; 

  Kevin Pereyra; Marco Puliti 


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


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


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


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


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


18. On R-disjoint graphs: a generalization of almost bipartite non-König-Egerváry graphs
Revista: Discrete Applied Mathematics (submitted)
 Autores: Kevin Pereyra


17. Structural and Determinantal Properties of Berge-Dilations
 Revista: preprint
 Autores: María Chávez, Pablo Montero, Kevin Pereyra, María Trinidad


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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


All papers are available upon request. ✅ --- Authors are listed in arbitrary order. 

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