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MAT3707 EXAM PORFOLIO 2024
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- University Of South Africa
MAT3707 EXAM PORFOLIO 2024
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MAT3707 EXAM PACK2024
QUESTIONS AND
ANSWERS
FOR ASSISTANCE CONTACT
EMAIL:kevinlugwiri98@gmail.com
, lOMoARcPSD|31863004
Department of Mathematical Sciences
Discrete Mathematics
Only study guide for
MAT3707
University of South Africa
, lOMoARcPSD|44660598
MAT3707/201/1/2017
Tutorial letter 201/1/2017
DISCRETE MATHEMATICS:
COMBINATORICS
MAT3707
Semester 1
Department of Mathematical Sciences
SOLUTIONS TO ASSIGNMENT 01
BARCODE
university
Define tomorrow. of south africa
, lOMoARcPSD|44660598
SOLUTIONS TO ASSIGNMENT 01 (SEMESTER 1)
CLOSING DATE: 10 March 2017
UNIQUE NR.: 691528
The answers to only some of the questions will be marked.
1. Draw
(a) three non-isomorphic graphs with 4 vertices and 3 edges. (3)
Solution
The three graphs are non-isomorphic because the first graph has two vertices of degree o
second graph has no vertices of degree one and the third graph has three vertices of degr
(b) two non-isomorphic graphs with 5 vertices and 6 edges. (2)
Solution
The two graphs are non-isomorphic because the second graph has a vertex of degree four
the first graph does not have such a vertex.
Explain in each case why your graphs are non-isomorphic.
2. The list of degrees of the vertices of a graph,
arranged in non-decreasing order,
is called the degree
sequence of the graph.
(a) Draw a graph with degree sequence 1, 1, 1, 5 or say why no such graph exists. (2)
Solution
Such a graph does not exist because the vertex of degree five has to have five neighbour
the graph only has four vertices.
(b) Draw a graph with degree sequence 1, 1, 1, 1, 1, 5 or say why no such graph exists. (2)
Solution
2
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