Some definitions for Wilf, p. 174, Problem 3 |
3(b): A graph is bipartite iff it is 2-colorable.
3(e): An Euler path (respectively, circuit) is a path (respectively, circuit)
that traverses every edge exactly once.A path is, loosely speaking, a sequence
of
consecutively adjacent edges; more precisely, it is a sequence of edges e1
,e2 ,..., en, such that for each i, one vertex of ei
is in ei-1 and the other vertex is in ei+1. A circuit is a
closed path, i.e., a path that starts and ends at the same vertex.