Let G = (V, E) be a graph with vertex-set V = {1, 2, 3, 4, 5} and edge-set E = {(1, 2),(3, 2),(4, 3),(1, 4),(2, 4),(1, 3)}. (a) Draw the graph. Find (b) maximal degree, i.e. ∆(G), (c) minimal degree, i.e. δ(G), (d) the size of biggest clique, i.e. ω(G),

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.3: Systems Of Inequalities

Problem 30E

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Question

Let G = (V, E) be a graph with vertex-set V = {1, 2, 3, 4, 5} and edge-set
E = {(1, 2),(3, 2),(4, 3),(1, 4),(2, 4),(1, 3)}.
(a) Draw the graph.
Find
(b) maximal degree, i.e. ∆(G),
(c) minimal degree, i.e. δ(G),
(d) the size of biggest clique, i.e. ω(G),
(e) the size of biggest independent set, i.e. α(G), ter
(f) the minimal number of colours needed to color the graph, i.e. χ(G).

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