|
|
|
||
|
Introduction to nowhere zero flows and cycle covers of graphs and matroids.
Last update: T_KAM (03.05.2002)
|
|
||
|
The exam will be oral based on the presented material. For the credit from practicals you need to get at least 50% score from the homework assignments. Last update: Šámal Robert, doc. Mgr., Ph.D. (01.03.2019)
|
|
||
|
C.Q.Zhang: Integer flows and cycle covers of graphs. Monographs and Textbooks in Pure and Applied Mathematics, 205. Marcel Dekker, Inc., New York, 1997.
C.Q.Zhang: Circuit double cover of graphs. London Mathematical Society Lecture Note Series, 399. Cambridge University Press, Cambridge, 2012. Last update: Šámal Robert, doc. Mgr., Ph.D. (11.02.2019)
|
|
||
|
Integer flows in graphs. Group and modular flows, basic properties. Tutte's conjectures on nowhere-zero flows, known partial results. The classical characterization of graphs with k disjoint spanning trees. The cycle double cover conjecture, relations to flows. Compatible decompositions of Eulerian graphs. Tensions, the tension-flow duality. Flow-continuous and cycle-continuous maps, the Petersen coloring conjecture. Last update: T_KAM (06.05.2004)
|