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Problem 2. Show that the chromatic index x'(G) of a graph G with a vertices and m edges satisfies the inequality 2m x'(G) >

Problem 2. Show that the chromatic index x'(G) of a graph G with a vertices and m edges satisfies the inequality 2m x'(G) >

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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Problem 2. Show that the chromatic index x'(G) of a graph G with a vertices and m edges satisfies the inequality 2m x'(G) > Problem 3. Prove that if there are less than k vertices of degree at least k in a graph G, then x(G) < k. Problem 4. Show that every connected 5-regular planar graph (with no loops and multiple edges) contains a triangle.
Transcribed Image Text:Problem 2. Show that the chromatic index x'(G) of a graph G with a vertices and m edges satisfies the inequality 2m x'(G) > Problem 3. Prove that if there are less than k vertices of degree at least k in a graph G, then x(G) < k. Problem 4. Show that every connected 5-regular planar graph (with no loops and multiple edges) contains a triangle.
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