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Perfil investigador
Esp
Dr. Julián Alberto Fresan Figueroa

Associate Professor
Departament of Applied Mathematics and Systems

Division of Natural Sciences and Engineering


Level 1
Member of the National System of Researchers
(SNII)

Physics-Mathematics and Earth Sciences

Successful appointment to the 2026 National System of Researchers.


Cuajimalpa Campus

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Sustainable Development Goals

• 1 No Poverty

• 4 Quality Education

• 8 Decent Work and Economic Growth

• 9 Industry, Innovation and Infrastructure

• 10 Reduced Inequality

• 11 Sustainable Cities and Communities


Research interests

• Trees
• Tree graphs
• Book embedding of a graph
• Colorings of Moore Graphs
• Applications of graph theory

Profile

Professor Julián Alberto Fresán Figueroa was born in Mexico City in June 1988. He did his undergraduate studies in Applied Mathematics at the Universidad Autónoma Metropolitana (UAM) Cuajimalpa Campus, Master´s of Science (Mathematics) at the Iztapalapa Campus of the UAM, and Ph.D. in Science (Mathematics) at the same Campus.

Since April 2013, he has been a Professor in the Department of Applied Mathematics and Systems at Cuajimalpa Campus, where he has taught courses for the Applied Mathematics and Computer Engineering degrees.

He is currently Head of the Department of Applied Mathematics and Systems, for the period 2019-2023. He belongs to the National System of Researchers, Candidate Level. His research area is Graph Theory, particularly topics related to book embeddings, colorings, Moore's graphs and tree graphs. He is dabbling in applied research close to his topics.

He is a member of the graph theory and computational theory faculty and is a member of two research projects, one on graph theory and the other on teaching. He is very passionate about the dissemination of mathematics and annually participates in various outreach events.



Information provided by the academic staff

Research interests

• Trees
• Tree graphs
• Book embedding of a graph
• Colorings of Moore Graphs
• Applications of graph theory

Academic Work

On the following pages you can consult the research work:



Other sites of interest

Consult the research work on other websites:






Some examples of publications

Select the bibliographic reference to consult each publication:


Open Access References UN SDGs
OALozano-Piña, A., Fresán-Figueroa, J., Franco-Pérez, L. (2026).A dynamic version of Schur’s problem for rotations on the unit interval. Boletin de la Sociedad Matematica Mexicana,32(3)
OAAraujo-Pardo, G., Díaz-Calderón, J.C., Fresán-Figueroa, J. and 3 more (...) (2025).On (r, g, χ)- graphs and cages of regularity r, girth g and chromatic number χ. Art of Discrete and Applied Mathematics,8(3)
OASagaceta-Mejía, A.R., González-Pérez, P.P., Fresán-Figueroa, J. and 1 more (...) (2025).Enhancing Predictive Accuracy in Medical Data Through Oversampling and Interpolation Techniques. Mathematics,13(24) 3
Acosta-Ceja, J.A., Coto-Jiménez, M., Sánchez-Gutiérrez, M.E. and 2 more (...) (2024).Feature Engineering for Music/Speech Detection in Costa Rica Radio Broadcast. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics),1475584-95
Cervantes-Ojeda, J., Gómez-Fuentes, M.C., Fresán-Figueroa, J.A. (2024).Applying Genetic Algorithms to Validate a Conjecture in Graph Theory: The Minimum Dominating Set Problem. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics),14391271-282
OASagaceta-Mejía, A.R., Sánchez-Gutiérrez, M.E., Fresán-Figueroa, J.A. (2024).An Intelligent Approach for Predicting Stock Market Movements in Emerging Markets Using Optimized Technical Indicators and Neural Networks. Economics,18(1)
Fresán-Figueroa, J., González-Moreno, D., Olsen, M. (2023).Special structures in Q(4,q), projective planes and its application in L(h,k)−colorings of their Moore Graphs. Discrete Applied Mathematics,33131-37
Cervantes-Ojeda, J., Gómez-Fuentes, M.C., Fresán-Figueroa, J.A. (2023).Applying Genetic Algorithms to Validate a Conjecture in Graph Theory: The Minimum Dominating Set Problem. Computacion y Sistemas,27(4) 1089-1097
OAFresán-Figueroa, J., González-Moreno, D., Olsen, M. (2021).On the packing chromatic number of Moore graphs. Discrete Applied Mathematics,289185-193
Figueroa, A.P., Fresán-Figueroa, J. (2020).The biplanar tree graph. Boletin de la Sociedad Matematica Mexicana,26(3) 795-806

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Courses taught by the professor in recent trimesters

*Courses are conducted in spanish

Num.Trim.Course NameLevel
1
26P
Teoría de GráficasLicenciatura
2
26P
Probabilidad ILicenciatura
3
26P
Laboratorio de Aplicaciones ILicenciatura
4
26P
Laboratorio de Aplicaciones IILicenciatura
5
26P
Proyecto Terminal IIILicenciatura
6
26P
Proyecto Terminal IIILicenciatura
7
26P
Proyecto Terminal ILicenciatura
8
26P
Teoría de GráficasLicenciatura
9
26P
Proyecto de Investigación Doctoral VPosgrado
10
26I
Álgebra Superior ILicenciatura
11
26I
Optativa de Movilidad de Intercambio ILicenciatura
12
26I
Optativa de Movilidad de Intercambio ILicenciatura
13
26I
Optativa de Movilidad de Intercambio ILicenciatura
14
26I
Optativa de Movilidad de Intercambio ILicenciatura
15
26I
Proyecto de Investigación Doctoral IVPosgrado
16
26I
Proyecto Terminal IILicenciatura
17
26I
Proyecto Terminal IIILicenciatura
18
25O
Proyecto de Investigación Doctoral IIIPosgrado
19
25O
Proyecto Terminal ILicenciatura
20
25O
Proyecto Terminal IILicenciatura
21
25O
Proyecto Terminal IIILicenciatura
22
25O
Seminario Doctoral IIPosgrado
23
25P
Métodos DiscretosPosgrado
24
25P
Optimización CombinatoriaLicenciatura
25
25P
Probabilidad ILicenciatura
26
25P
Proyecto de Investigación Doctoral IIPosgrado
27
25P
Proyecto Terminal IIILicenciatura
28
25P
Seminario Doctoral IIPosgrado
29
25P
Temas Selectos de la Matemática Contemporánea ILicenciatura
30
25P
Temas Selectos en Computación ILicenciatura
31
25P
Temas Selectos en Computación IILicenciatura
32
25P
Temas Selectos en Computación IIILicenciatura
33
25I
Modelos ILicenciatura
34
25I
Optativa de Movilidad de Intercambio IILicenciatura
35
25I
Optativa de Movilidad de Intercambio IILicenciatura
36
25I
Optativa de Movilidad de Intercambio IILicenciatura
37
25I
Optativa de Movilidad de Intercambio IILicenciatura
38
25I
Optativa de Movilidad de Intercambio IIILicenciatura
39
25I
Optativa de Movilidad de Intercambio IVLicenciatura
40
25I
Proyecto de Investigación Doctoral IPosgrado
41
25I
Proyecto Terminal IIILicenciatura
42
25I
Proyecto Terminal IIILicenciatura
43
25I
Seminario Doctoral IPosgrado
44
24O
Proyecto Terminal IILicenciatura
45
24O
Proyecto Terminal IIILicenciatura
46
24O
Seminario Doctoral IPosgrado
47
24P
Laboratorio de Aplicaciones ILicenciatura
48
24P
Modelos IILicenciatura
49
24P
Proyecto Terminal ILicenciatura
50
24P
Proyecto Terminal ILicenciatura
51
24P
Proyecto Terminal ILicenciatura
52
24P
Proyecto Terminal ILicenciatura
53
24P
Proyecto Terminal IIILicenciatura
54
24P
Proyecto Terminal IIILicenciatura
55
24P
Proyecto Terminal IIILicenciatura
56
24P
Seminario IIIPosgrado
57
24P
Seminario IIIPosgrado
58
24P
Temas Selectos de Ingeniería en Computación y Telecomunicaciones VLicenciatura
59
24P
Temas Selectos de Matemáticas Aplicadas ILicenciatura
60
24I
Álgebra ModernaLicenciatura
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Universidad Autónoma Metropolitana, 2026.