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4. Let G = (V, E) be a graph with vertex-set V = {1, 2, 3, 4, 5, 6} and edge-set = = {(1, 2), (3, 2), (3, 4), (5, 4), (5, 6), (1, 6), (1, 3), (6,4)}. (a) Draw the graph. Find E (b) maximal degree, i.e. A(G), (c) minimal degree, i.e. 8(G),

4. Let G = (V, E) be a graph with vertex-set V = {1, 2, 3, 4, 5, 6} and edge-set = = {(1, 2), (3, 2), (3, 4), (5, 4), (5, 6), (1, 6), (1, 3), (6,4)}. (a) Draw the graph. Find E (b) maximal degree, i.e. A(G), (c) minimal degree, i.e. 8(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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4. Let G = (V, E) be a graph with vertex-set V = {1, 2, 3, 4, 5, 6} and edge-set E = {(1, 2), (3, 2), (3, 4), (5, 4), (5, 6), (1, 6), (1, 3), (6,4)}. (a) Draw the graph. Find (b) maximal degree, i.e. A(G), (c) minimal degree, i.e. 8(G), (d) the size of biggest clique, i.e. w(G), (e) the size of biggest independent set, i.e. a(G), ter (f) the minimal number of colours needed to color the graph, i.e. x(G).
Transcribed Image Text:4. Let G = (V, E) be a graph with vertex-set V = {1, 2, 3, 4, 5, 6} and edge-set E = {(1, 2), (3, 2), (3, 4), (5, 4), (5, 6), (1, 6), (1, 3), (6,4)}. (a) Draw the graph. Find (b) maximal degree, i.e. A(G), (c) minimal degree, i.e. 8(G), (d) the size of biggest clique, i.e. w(G), (e) the size of biggest independent set, i.e. a(G), ter (f) the minimal number of colours needed to color the graph, i.e. x(G).
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