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Coloring of Graphs and Other Combinatorial Structures

Class at Faculty of Mathematics and Physics |
NDMI060

Syllabus

Coloring of graphs and their classes (in particular, graphs on surfaces). Proof techniques used to bound the chromatic number of graphs (the probabilistic method, an algebraic approach, discharging).Tutte's polynomial.

Generalizations and special types of coloring: diagonal and cyclic coloring, list-coloring, channel assignment, L(2,1)-coloring, T-coloring, etc. Coloring of other combinatorial structures.

Annotation

Coloring of graphs and their classes (in particular, graphs on surfaces). Proof techniques used to bound the chromatic number of graphs (the probabilistic method, an algebraic approach, discharging).Tutte's polynomial.

Generalizations and special types of coloring: diagonal and cyclic coloring, list-coloring, channel assignment, L(2,1)-coloring, T-coloring, etc. Coloring of other combinatorial structures.