|Lecturer||Serge RICHARD, Professor|
|Department||Graduate School of Mathematics, 2021 Spring|
|Recommended for:||Graduate School of Mathematics (2・1.5hours / session, One session / week, 15weeks / semester)|
The motivation for studying and teaching this subject has been triggered by the pandemic which started in 2020. Graphs, and in particular random graphs, are used for studying the propagation of epidemics on them. During this course, we shall study the necessary notions for understanding the current researches on this hot topic.
Understand the basic notions of epidemics on graphs.
Knowledge on standard undergraduate linear algebra, calculus and advanced calculus.
Any course on graph theory or on probability. This course will complement such courses, but they are not considered as prerequisite.
Free reference books will be provided during the lectures, but first part of the course is mainly based on
J.L. Gross, J. Yellen, M. Anderson, Graph theory and its applications, CRC press, 2019.
M. Newman, Networks, second edition, Oxford University Press, 2018.
I. Kiss, J. Miller, P. Simon, Mathematics of epidemics on networks, Springer, 2017.
Grades based on attendance and on written reports. An active participation of the students is expected.
February 03, 2022