Euler trail - PowerPoint PPT Presentation

Graph Theory

Great Theoretical Ideas In Computer Science. Graph Theory. Lecture 22. CS 15-251. Can I draw the above figure in one continuous trace with no line being drawn twice?. How about this one?. Picture only what is essential to the problem.

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Section 2.1 Euler Cycles

Section 2.1 Euler Cycles. Vocabulary CYCLE – a sequence of consecutively linked edges (x 1 ,x2),(x2,x3),…,(x n-1 ,x n ) whose starting vertex is the ending vertex (x 1 = x n ) and in which no edge can appear more than once. No edge can appear more than once.

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