A. I. Cuza University of Iaşi


Graph Algorithms

Course nameGraph Algorithms CodeCS2104
Class Computer Science, 2007 - 2010
Level Undergraduate Year 2 Semester 1 Status Compulsory
Hours per weekTotal hours per semesterTotal hours of individual workCreditsEvaluation typeTeaching language
CSLPr
2 2 0 0 56 94 5 M ro
Taught byAcademic and scientific title, name
Professor, PhD, Cornelius Croitoru
Required courses
ObjectivesThe students will be familiarised with the basic notions and results of the Algorithmic Graph Theory, which will be applied in the design of efficient algorithms for various combinatorial optimization problems.
General thematicsGraph Theory vocabulary, Path problems (graph traversal, shortest paths, connectivity), Minimum spanning trees (union-find, amortized complexity), Matchings, Flows, Polinomial reductions for decision problems on graphs, Approaches for NP-hard problems on graphs, Planar Graphs.
Seminary / Laboratory thematicsEach seminar debates 4 problems (some of them, very difficult) in order to deepen the subjects introduced in the course. All problems are posted at the begining of the semester such that interested students could try to find original solutions or to search similar questions in the related bibliography .
Teaching methodsVideo presentations of the slides (containing the course notes) available in pdf format at the begining of the semester.
Bibliography
  1. CROITORU C., Tehnici de baza in optimizarea combinatorie, Editura Univ. Al. I. Cuza Iasi, Iasi,1992.
  2. CROITORU C., Introducere in proiectarea algoritmilor paraleli, Editura Matrix Rom, Bucuresti, 2002.
  3. TOMESCU I., Probleme de combinatorica si teoria grafurilor, Editura did. si ped., Bucuresti,1981.
  4. DIESTEL R., Graph Theory, Electronic Edition.
  5. CORMEN T.H., Leiserson C.E., Rivest R.L., Stein C., Introduction to Algorithms, MIT Press 2001.
Evaluationconditions
criteriasA student will be considered to have passed the exam if (s)he obtains at least 40 points.
modes
  • Seminary activity (attendance, work quality): 0-18 points.
  • Homeworks (3 homeworks, in weeks 4, 8,12) each giving maximum 14 points: 0-42 points.
  • Written Final test: 0-60 points.
formulaThe final grade (if the total number of points is at least 40) is given by applying the ECTS rules.

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