Consider an edge-weighted digraph G with distinct and positive edge weights, a source vertex s, and a destination vertex t. Assume that G contains at least 3 vertices, has no parallel edges or self loops, and that every vertex is reachable from s. Any shortest path st path must include the lightest edge.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Consider an edge-weighted digraph G with distinct and positive edge weights, a source vertex s,
and a destination vertex t. Assume that G contains at least 3 vertices, has no parallel edges or
self loops, and that every vertex is reachable from s.
Any shortest path st path must include the lightest edge.
True
False
Transcribed Image Text:Consider an edge-weighted digraph G with distinct and positive edge weights, a source vertex s, and a destination vertex t. Assume that G contains at least 3 vertices, has no parallel edges or self loops, and that every vertex is reachable from s. Any shortest path st path must include the lightest edge. True False
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