Subject: Discrete Mathematics (17 - SE0009)

Basic Information

CategoryAcademic-general educative
Scientific or art field:Teorijska i primenjena matematika
Native organizations units

Department of Fundamentals Sciences
Course specification

Course is active from 15.11.2012..

Precondition courses

Course idMandatoryMandatory
The main aim of the course is to train students abstract thinking and acquire basic knowledge in the field of classical combinatorial objects, non-classical combinatorial objects and graph theory. Students will learn to classify combinatorial problems and solve them using well-known combinatorial methods, through the acquisition of theoretical knowledge and solving practical examples. Through the learning of well-known concepts and theorems from graph theory, students will be able to set graphic formal models from other fields (e.g. computer science and transport engineering). Properties of graphs will be precisely mathematically proved, with the aim of further development of students skills for deriving proofs.
As outcome of the course, students will acquire basic knowledge in the field of classical combinatorial objects, non-classical combinatorial objects and graph theory, with their abstract thinking and the skills of proofing being greatly improved. Students will be able to recognize combinatorial objects and solve them by known methods, as well as to develop and analyse graph models in some other fields.
Classical combinatorial objects (permutations, variations and combinations with and without repetition), partition sets, Stirling numbers, recurrent formulas, generative functions, basic concepts of graph theory, graph representation, special classes of graphs, operations on graphs, isomorphism of graphs, connected graphs, trees, planar graphs, Euler and Hamiltonian graphs.
In lectures theoretical part of the course is presented accompanied by characteristic and representative examples in order to better understand the matter. In practice, which follows lectures, typical problems are solved and lectured theory is deepened. Besides lectures and practice, regular consultations and group consultations are also held.
Tošić RatkoKombinatorika1999Univezitet u Novom SaduSerbian language
I. Bošnjak, D. Mašulović, V. Petrović, R. TošićZbirka zadataka iz teorije grafova2006Univerzitet u Novom Sadu, Novi SadSerbian language
Robin J. WilsonIntroduction to Graph Theory1996Robin WilsonEnglish
D. Mašulović, M.PechZbirka zadataka iz kombinatorike2015<Prirodno-matematički fakultet, Departman za matematiku i informatikuSerbian language
Course activity Pre-examination ObligationsNumber of points
Exercise attendanceYesYes5.00
Written part of the exam - tasks and theoryNoYes30.00
Lecture attendanceYesYes5.00
Theoretical part of the examNoYes40.00
Name and surnameForm of classes
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Pantović Jovanka
Full Professor

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Teofanov Ljiljana
Full Professor

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Ciganović Radojka
Assistant - Master

Practical classes