20410038 GRAPH THEORY in Computational Sciences LM-40 CAPORASO LUCIA
(syllabus)
Basic Definitions. Connected graphs. Eulerian graphs Trees. Rooted trees. Spanning trees. Cycle space. Cut space. Cyclomatic number. Bipartite graphs. Matchings. Marriage theorem. Existence of 1-factors and k-factors. Connectivity. Structure of 2-connected and 3-connected graphs. Hamiltonian graphs Planar and Plane Graphs. Euler formula. Triangulations Colourings.
(reference books)
R. Diestel. GRAPH THEORY. Springer GTM
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