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sec 48.Background information.doc
Background information:
48.1.doc
Describe the solution process in words.
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Eulerian Trails are investigated. the solution is detailed and well presented.
Eulerian Graphs - Give examples of eulerian grpahs that are randomly eulerian from exactly none, one,
two or all of their vertices.
Eulerian Graph - Let G be an eulerian graph of order n >= 3. Prove that G is randomly eulerian from
exactly none, one, two or all of its vertices.
Randomly Eulerian Graphs - Let G be a graph that is randomly eulerian from a vertex v. Show that if deg u = Delta(G)"max degree in G", then G is randomly eulerian from u.
Randomly Eulerian Graphs - Prove that if a graph G is randomly eulerian from v, then Delta(G)"max degree in G" = deg v.
Randomly Eulerian Graphs - Recall that a graph G is randomly Eulerian from a vertex x if and maximal trail starting at x in an Euler circuit. (If T = xx_1 ... x_l, then T is a maximal trail starting at x iff x_l is an isolated ...