Exercise · ZW-PATH-IN-A-GRAPH-002 · ★☆☆ Basic
A graph has edges \(12, 23, 34, 14, 25\). Which of these sequences is a path?
Choose one option.
Show answer
- A. 5, 2, 1, 4
Explanation
Every consecutive pair is an edge: 52, 21 and 14. In the others 24, 13 or 51 is missing.
Review the concept: Path in a graph
A path of length \(k\) is a sequence of vertices \(v_0,\dots,v_k\) such that each consecutive pair is joined by an edge of \(E\).
\[\{v_{i-1},v_i\}\in E,\qquad i=1,\dots,k\]
More practice problems: path in a graph
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