Web Reference: Algebraic graph theory uses group theory to study the symmetry of a graph. For example, Petersen graph is high-symmetrical, known for vertex-transitive, symmetric, distance-transitive, and distance-regular. Sep 15, 2025 · Learn how to explore graphs systematically using DFS, BFS, and topological sorting. Focuses on hierarchical graph structures, spanning trees, traversals, and coding applications. Introduces important classes of graphs like bipartite, complete, regular, and random graphs. Find a way of replacing the edges in the graph you obtained in solving Exercise 1 with directed edges so that the graph becomes a digraph but so that it is still possible to tour all the islands without crossing the same bridge twice.
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