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Perfil investigador
Esp
Dr. Mika Olsen

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



Cuajimalpa Campus

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Academic Group



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:




Academic Group

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Some examples of publications

Select the bibliographic reference to consult each publication:


Open Access References UN SDGs
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
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)
OACervantes-Ojeda, J., García-Altamirano, J.C., Olsen, M. (2023).Computacional complexity of Hajós constructions of symmetric odd cycles. Procedia Computer Science,223112-120
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
González-Moreno, D., Hernández-Ortiz, R., Llano, B. and 1 more (...) (2022).The Dichromatic Polynomial of a Digraph. Graphs and Combinatorics,38(3)
OAAraujo-Pardo, G., Montellano-Ballesteros, J.J., Olsen, M. and 1 more (...) (2022).The digrundy number of digraphs. Discrete Applied Mathematics,317117-123
OAFresán-Figueroa, J., González-Moreno, D., Olsen, M. (2021).On the packing chromatic number of Moore graphs. Discrete Applied Mathematics,289185-193
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
OACervantes-Ojeda, J., Gómez-Fuentes, M., González-Moreno, D. and 1 more (...) (2019).Rainbow connectivity using a rank genetic algorithm: Moore cages with girth six. Journal of Applied Mathematics,2019
OAAraujo-Pardo, G., Montellano-Ballesteros, J.J., Olsen, M. and 1 more (...) (2018).The diachromatic number of digraphs. Electronic Journal of Combinatorics,25(3)
OABalbuena, C., González-Moreno, D., Olsen, M. (2018).Vertex disjoint 4-cycles in bipartite tournaments. Discrete Mathematics,341(4) 1103-1108
Galeana-Sánchez, H., Olsen, M. (2018).Solving the kernel perfect problem by (simple) forbidden subdigraphs for digraphs in some families of generalized tournaments and generalized bipartite tournaments. Discrete Mathematics and Theoretical Computer Science,20(2)
OABalbuena, C., Fresán-Figueroa, J., González-Moreno, D. and 1 more (...) (2018).Rainbow connectivity of Moore cages of girth 6. Discrete Applied Mathematics,250104-109
OABalbuena, C., González-Moreno, D., Olsen, M. (2018).Bounds on the k-restricted arc connectivity of some bipartite tournaments. Applied Mathematics and Computation,33154-60
Figueroa, A.P., Hernández-Cruz, C., Olsen, M. (2017).The minimum feedback arc set problem and the acyclic disconnection for graphs. Discrete Mathematics,340(7) 1514-1521
OALlano, B., Olsen, M. (2017).Disproof of a conjecture of Neumann-Lara. Electronic Journal of Combinatorics,24(4)
OAGaleana-Sánchez, H., Olsen, M. (2017).Infinite quasi-transitive digraphs with domination number 2. Discrete Applied Mathematics,22644-50
Galeana-Sánchez, H., Olsen, M. (2016).A Characterization of Locally Semicomplete CKI-digraphs. Graphs and Combinatorics,32(5) 1873-1879
Galeana-Sánchez, H., Olsen, M. (2016).CKI-Digraphs, Generalized Sums and Partitions of Digraphs. Graphs and Combinatorics,32(1) 123-131
OAFigueroa, A.P., Montellano-Ballesteros, J.J., Olsen, M. (2016).Strong subtournaments and cycles of multipartite tournaments. Discrete Mathematics,339(11) 2793-2803
OAGonzález-Moreno, D., Balbuena, C., Olsen, M. (2016).Vertex-disjoint cycles in bipartite tournaments. Electronic Notes in Discrete Mathematics,5469-72
Figueroa, A.P., Olsen, M., Zuazua, R. (2015).On the vertices of a 3-partite tournament not in triangles. Discrete Mathematics,338(11) 1982-1988
OABalbuena, C., Olsen, M. (2015).On the acyclic disconnection and the girth. Discrete Applied Mathematics,186(1) 13-18
Balbuena, C., Guevara, M., Olsen, M. (2014).Structural properties of CKI-digraphs. AKCE International Journal of Graphs and Combinatorics,11(1) 67-80
OAGaleana-Sánchez, H., Olsen, M. (2013).Characterization of asymmetric CKI- and KP-digraphs with covering number at most 3. Discrete Mathematics,313(13) 1464-1474
Neumann-Lara, V., Olsen, M. (2013).Molds of regular tournaments. Ars Combinatoria,11281-96

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Courses offered

*Courses are conducted in spanish

Num.Trim.Course NameLevel
1
23O
Introducción al Pensamiento MatemáticoLicenciatura
2
23O
Proyecto Terminal IILicenciatura
3
23O
Optativa de Movilidad de Intercambio ILicenciatura
4
23O
Optativa de Movilidad de Intercambio ILicenciatura
5
23O
Optativa de Movilidad de Intercambio ILicenciatura
6
23O
Optativa de Movilidad de Intercambio ILicenciatura
7
23O
Optativa de Movilidad de Intercambio IILicenciatura
8
23O
Optativa de Movilidad de Intercambio IILicenciatura
9
23O
Optativa de Movilidad de Intercambio IILicenciatura
10
23O
Optativa de Movilidad de Intercambio IILicenciatura
11
23O
Optativa de Movilidad de Intercambio IILicenciatura
12
23O
Optativa de Movilidad de Intercambio IIILicenciatura
13
23O
Optativa de Movilidad de Intercambio IIILicenciatura
14
23O
Optativa de Movilidad de Intercambio IIILicenciatura
15
23O
Optativa de Movilidad de Intercambio IIILicenciatura
16
23O
Optativa de Movilidad de Intercambio IVLicenciatura
17
23O
Optativa de Movilidad de Intercambio IVLicenciatura
18
23O
Seminario IIPosgrado
19
23O
Proyecto de Investigación IIPosgrado
20
23O
CombinatoriaPosgrado
21
23P
Temas Selectos de Matemáticas Aplicadas II Licenciatura
22
23P
Temas Selectos de Matemáticas Aplicadas ILicenciatura
23
23P
Temas Selectos de Matemáticas Aplicadas IILicenciatura
24
23P
Temas Selectos de Matemáticas Aplicadas IVLicenciatura
25
23P
Álgebra Superior IILicenciatura
26
23P
Proyecto Terminal IILicenciatura
27
23P
Proyecto Terminal ILicenciatura
28
23P
Optativa de Movilidad de Intercambio ILicenciatura
29
23P
Optativa de Movilidad de Intercambio ILicenciatura
30
23P
Optativa de Movilidad de Intercambio ILicenciatura
31
23P
Optativa de Movilidad de Intercambio ILicenciatura
32
23P
Optativa de Movilidad de Intercambio ILicenciatura
33
23P
Optativa de Movilidad de Intercambio ILicenciatura
34
23P
Optativa de Movilidad de Intercambio ILicenciatura
35
23P
Optativa de Movilidad de Intercambio IILicenciatura
36
23P
Optativa de Movilidad de Intercambio IILicenciatura
37
23P
Optativa de Movilidad de Intercambio IILicenciatura
38
23P
Optativa de Movilidad de Intercambio IILicenciatura
39
23P
Optativa de Movilidad de Intercambio IILicenciatura
40
23P
Optativa de Movilidad de Intercambio IILicenciatura
41
23P
Optativa de Movilidad de Intercambio IIILicenciatura
42
23P
Optativa de Movilidad de Intercambio IIILicenciatura
43
23P
Optativa de Movilidad de Intercambio IIILicenciatura
44
23P
Optativa de Movilidad de Intercambio IIILicenciatura
45
23P
Optativa de Movilidad de Intercambio IIILicenciatura
46
23P
Optativa de Movilidad de Intercambio IVLicenciatura
47
23P
Optativa de Movilidad de Intercambio IVLicenciatura
48
23P
Optativa de Movilidad de Intercambio IVLicenciatura
49
23P
Optativa de Movilidad de Intercambio IVLicenciatura
50
23P
Optativa de Movilidad de Intercambio IVLicenciatura
51
23P
Optativa de Movilidad de Intercambio IVLicenciatura
52
23P
Proyecto de Investigación IPosgrado
53
23I
CombinatoriaLicenciatura
54
23I
Optativa de Movilidad de Intercambio ILicenciatura
55
23I
Optativa de Movilidad de Intercambio ILicenciatura
56
23I
Optativa de Movilidad de Intercambio ILicenciatura
57
23I
Optativa de Movilidad de Intercambio IILicenciatura
58
23I
Optativa de Movilidad de Intercambio IILicenciatura
59
23I
Optativa de Movilidad de Intercambio IILicenciatura
60
23I
Optativa de Movilidad de Intercambio IIILicenciatura
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Universidad Autónoma Metropolitana, 2024.