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Let G = sink and a source. (V, E) be a digraph in which every vertex is a source, or a sink, or both a Let G = (V, E¹) be the undirected graph obtained by erasing the direction on the edges of G. Prove that G" has chromatic number 1 or 2.

Let G = sink and a source. (V, E) be a digraph in which every vertex is a source, or a sink, or both a Let G = (V, E¹) be the undirected graph obtained by erasing the direction on the edges of G. Prove that G" has chromatic number 1 or 2.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let G = (V, E) be a digraph in which every vertex is a source, or a sink, or both a sink and a source. Let Gu = (V, E") be the undirected graph obtained by erasing the direction on the edges of G. Prove that Gu has chromatic number 1 or 2. You are not required to draw anything in your proofs.
Transcribed Image Text:Let G = (V, E) be a digraph in which every vertex is a source, or a sink, or both a sink and a source. Let Gu = (V, E") be the undirected graph obtained by erasing the direction on the edges of G. Prove that Gu has chromatic number 1 or 2. You are not required to draw anything in your proofs.
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