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.

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

Section: Chapter Questions

Problem 1PE

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Question

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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