# MAT1DM Discrete Mathematics

• Course Code: MAT1DM
• University: La Trobe University
• Country: Australia

## Question:

1. (a) Consider the following two graphs G1 and G2.

There are exactly two difffferent isomorphisms from G1 to G2, say, φ1 and φ2. Find both of

them. Present your solution in the form of a table below.

(b) The graph G3 is not isomorphic to G1. Give an isomorphism

1. For each of the three graphs below, decide whether or not it is planar. If it is planar, give a plane

drawing, if not, prove its non-planarity using Theorem 4.4.5 and/or Kuratowski’s Theorem 4.4.7.

1. 1 (a) Using the index laws, write:

(b) Number the functions 1 → 5 from slowest to fastest, for long term growth.

1. Use the lazy c method to show that:
1. (a) Find suitable values of n : n ∈ N, so that the following inequalities are true.

(b) Find a value of n so that the four inequalities in part (a) hold simultaneously.

with a choice of c = 3

### Cite This Work

My Assignment Help (2020) Discrete Mathematics [Online]. Available from: https://myassignmenthelp.com/free-samples/mat1dm-discrete-mathematics/concepts-and-solve-mathematical-problems.html
[Accessed 26 November 2022].

My Assignment Help. 'Discrete Mathematics' (My Assignment Help, 2020) <https://myassignmenthelp.com/free-samples/mat1dm-discrete-mathematics/concepts-and-solve-mathematical-problems.html> accessed 26 November 2022.

My Assignment Help. Discrete Mathematics [Internet]. My Assignment Help. 2020 [cited 26 November 2022]. Available from: https://myassignmenthelp.com/free-samples/mat1dm-discrete-mathematics/concepts-and-solve-mathematical-problems.html.

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