## Graphs as Mathematical Models |

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activity adjacent assign associated Assume balanced begin belong bridge called chapter circuit cities classes clusters colored complete components Concepts connected consider contains contradiction corresponding course cube cycle define definition denote described determine digraph directed distinct edge of G elements equal equivalence eulerian exactly example Exercises exists Figure function Give an example given graph G graph of order Graph Theory hamiltonian Hence Houses implies incident integer intersection Introduction isomorphic joining labeled least Let G Mathematical Models matrix means namely obtain once pairs party path planar graph plane points positive possible probability Problem Problem Set produce proof Prove Puzzles refer regions relation represent result Selected shown signed graph situation social solution statement subgraph subset Suppose teams Theorem tournament trail tree true vertex vertices vertices of G