Exercise · ZW-PATH-IN-A-GRAPH-001 · ★☆☆ Basic
What is the length of the path \(1,2,3,4\) in a graph where \(12\), \(23\) and \(34\) are edges?
Choose one option.
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- C. 3
Explanation
The length is the number of edges traversed: 12, 23 and 34, that is 3 (one fewer than the vertices listed).
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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