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Perfil investigador
Esp
Dr. Mika Olsen

Professor
Departament of Applied Mathematics and Systems

Division of Natural Sciences and Engineering


Level 2
Member of the National System of Researchers
(SNII)

Physics-Mathematics and Earth Sciences



Cuajimalpa Campus

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Sustainable Development Goals

• 4 Quality Education

• 5 Gender Equality

• 8 Decent Work and Economic Growth


Research interests

• Acyclic colorations
• Kernels in digraphs
• Acyclic structures
• Coloraciones in graphics
• Networks

Profile

Professor Mika Olsen completed her bachelor's degree in actuarial science at the Faculty of Sciences at the Universidad Nacional Autónoma de México (UNAM) and postgraduate studies at the Institute of Mathematics UNAM in Graph Theory. She has taught mathematics classes at the Faculty of Sciences, UNAM, at ITAM, at Tec de Monterrey and finally at the Universidad Autónoma Metropolitana (UAM) Cuajimalpa Campus and UAM Iztapalapa Campus. She received the UAM Cuajimalpa Campus teaching award in 2011.

She is a founding member of the UAM Cuajimalpa Campus and has participated in commissions related to the continuous improvement of education and the educational model of the UAM Cuajimalpa Campus. She has directed terminal projects, theses at UNAM, and projects at the master's level. Moreover, she has published at the UAM Cuajimalpa Campus a book with math problems and two books for courses at the UAM Cuajimalpa Campus.

She collaborates with researchers from the Cuajimalpa Campus, Iztapalapa Campus, the UNAM Institute of Mathematics, and the ITAM, as well as a researcher from the UPC, Barcelona, with whom she completed a sabbatical year and several short academic stays. She has published more than 30 articles in indexed journals, in addition to conference proceedings and divulgation articles. She has level 1 of SNI and a desirable PRODEP profile.

Furthermore, she has directed two projects of Conacyt and participated in several projects of Conacyt and the government of Spain.

She was part of the organizing committee of the "Victor Neumann-Lara" Colloquium on Graph Theory, Combinatorics, and its Applications for five years and is part of the organizing committee of the fortnightly seminar "Graph Theory and its Applications" at the UAM Cuajimalpa Campus.

She was in charge of the Academic Commission of Prodep (previously Promep) on two occasions, a member of the Divisional Adjudicator of Natural Sciences and Engineering for almost four years, of which she served as secretary for two years, and is currently Coordinator of the Degree in Applied Mathematics and Systems.



Information provided by the academic staff

Research interests

• Acyclic colorations
• Kernels in digraphs
• Acyclic structures
• Coloraciones in graphics
• Networks

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
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)
OABalbuena, C., González-Moreno, D., Olsen, M. (2025).Bounds on the acyclic disconnection of a digraph. Boletin de la Sociedad Matematica Mexicana,31(1)
Araujo-Pardo, G., Montellano-Ballesteros, J.J., Olsen, M. and 1 more (...) (2024).On the harmonious chromatic number of graphs. Boletin de la Sociedad Matematica Mexicana,30(2)
OAOlsen, M., Rubio-Montiel, C., Silva-Ramírez, A. (2024).Zykov sums of digraphs with diachromatic number equal to its harmonious number. Discrete Mathematics Letters,147-12
OAGarcía-Altamirano, J.C., Olsen, M., Cervantes-Ojeda, J. (2023).How to construct the symmetric cycle of length 5 using Hajós construction with an adapted Rank Genetic Algorithm. Discrete Mathematics and Theoretical Computer Science,25(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
OACervantes-Ojeda, J., García-Altamirano, J.C., Olsen, M. (2023).Computacional complexity of Hajós constructions of symmetric odd cycles. Procedia Computer Science,223112-120
González-Moreno, D., Hernández-Ortiz, R., Llano, B. and 1 more (...) (2022).The Dichromatic Polynomial of a Digraph. Graphs and Combinatorics,38(3)
Araujo-Pardo, G., Montellano-Ballesteros, J.J., Olsen, M. and 1 more (...) (2022).The digrundy number of digraphs. Discrete Applied Mathematics,317117-123
Figueroa, A.P., Montellano-Ballesteros, J.J., Olsen, M. (2022).Conditions on the regularity of balanced c-partite tournaments for the existence of strong subtournaments with high minimum degree. Australasian Journal of Combinatorics,82353-365
OAAraujo-Pardo, G., Montellano-Ballesteros, J.J., Olsen, M. and 1 more (...) (2021).Achromatic Numbers for Circulant Graphs and Digraphs. Discussiones Mathematicae - Graph Theory,41(3) 713-724
OAFresán-Figueroa, J., González-Moreno, D., Olsen, M. (2021).On the packing chromatic number of Moore graphs. Discrete Applied Mathematics,289185-193

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Courses taught by the professor in recent trimesters

*Courses are conducted in spanish

Num.Trim.Course NameLevel
1
26I
Optativa de Movilidad de Intercambio ILicenciatura
2
26I
Optativa de Movilidad de Intercambio IILicenciatura
3
26I
Optativa de Movilidad de Intercambio IIILicenciatura
4
26I
Proyecto de Investigación Doctoral VPosgrado
5
26I
Proyecto de Investigación IIIPosgrado
6
26I
Proyecto Terminal IILicenciatura
7
26I
CombinatoriaLicenciatura
8
25O
Optativa de Movilidad de Intercambio IVLicenciatura
9
25O
Optativa de Movilidad de Intercambio IIILicenciatura
10
25O
Optativa de Movilidad de Intercambio IVLicenciatura
11
25O
Optativa de Movilidad de Intercambio IVLicenciatura
12
25O
Optativa de Movilidad de Intercambio IVLicenciatura
13
25O
Optativa de Movilidad de Intercambio IIILicenciatura
14
25O
Optativa de Movilidad de Intercambio IIILicenciatura
15
25O
Optativa de Movilidad de Intercambio IIILicenciatura
16
25O
Optativa de Movilidad de Intercambio IIILicenciatura
17
25O
Optativa de Movilidad de Intercambio IIILicenciatura
18
25O
Optativa de Movilidad de Intercambio IIILicenciatura
19
25O
Optativa de Movilidad de Intercambio IIILicenciatura
20
25O
Optativa de Movilidad de Intercambio IVLicenciatura
21
25O
Optativa de Movilidad de Intercambio IVLicenciatura
22
25O
Optativa de Movilidad de Intercambio IVLicenciatura
23
25O
Optativa de Movilidad de Intercambio IVLicenciatura
24
25O
Optativa de Movilidad de Intercambio IVLicenciatura
25
25O
Optativa de Movilidad de Intercambio IVLicenciatura
26
25O
Proyecto de Investigación Doctoral IVPosgrado
27
25O
Proyecto de Investigación IIPosgrado
28
25O
Proyecto Terminal ILicenciatura
29
25O
Proyecto Terminal IILicenciatura
30
25O
Proyecto Terminal IILicenciatura
31
25O
Proyecto Terminal IIILicenciatura
32
25O
Seminario IIPosgrado
33
25O
Optativa de Movilidad de Intercambio IIILicenciatura
34
25O
Optativa de Movilidad de Intercambio ILicenciatura
35
25O
Optativa de Movilidad de Intercambio ILicenciatura
36
25O
Optativa de Movilidad de Intercambio ILicenciatura
37
25O
Optativa de Movilidad de Intercambio ILicenciatura
38
25O
Optativa de Movilidad de Intercambio ILicenciatura
39
25O
Optativa de Movilidad de Intercambio ILicenciatura
40
25O
Optativa de Movilidad de Intercambio ILicenciatura
41
25O
Optativa de Movilidad de Intercambio ILicenciatura
42
25O
Optativa de Movilidad de Intercambio ILicenciatura
43
25O
Optativa de Movilidad de Intercambio ILicenciatura
44
25O
Optativa de Movilidad de Intercambio ILicenciatura
45
25O
Optativa de Movilidad de Intercambio IILicenciatura
46
25O
Optativa de Movilidad de Intercambio IILicenciatura
47
25O
Optativa de Movilidad de Intercambio IILicenciatura
48
25O
Optativa de Movilidad de Intercambio IILicenciatura
49
25O
Optativa de Movilidad de Intercambio IILicenciatura
50
25O
Optativa de Movilidad de Intercambio IILicenciatura
51
25O
Optativa de Movilidad de Intercambio IILicenciatura
52
25O
Optativa de Movilidad de Intercambio IILicenciatura
53
25O
Optativa de Movilidad de Intercambio IILicenciatura
54
25O
Optativa de Movilidad de Intercambio IILicenciatura
55
25O
Optativa de Movilidad de Intercambio IILicenciatura
56
25O
Optativa de Movilidad de Intercambio IIILicenciatura
57
25O
Optativa de Movilidad de Intercambio IIILicenciatura
58
25P
Laboratorio de Aplicaciones IILicenciatura
59
25P
Optativa de Movilidad de Intercambio ILicenciatura
60
25P
Optativa de Movilidad de Intercambio ILicenciatura
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Universidad Autónoma Metropolitana, 2026.