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),

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter12: Angle Relationships And Transformations

Section12.5: Reflections And Symmetry

Problem 20E

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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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