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Graph Theory (MAST30011)

Undergraduate level 3Points: 12.5On Campus (Parkville)

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Overview

Availability
Semester 1
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Graphs model networks of all types such as telecommunication, transport, computer and social networks. They also model physical structures such as crystals and abstract structures within computer algorithms.

This subject is an introduction to the modern field of graph theory. It emphasises the relationship between proving theorems in mathematics and the construction of algorithms to find the solutions of mathematical problems within the context of graph theory. The subject provides material that supplements other areas of study such as operations research, computer science and discrete mathematics

Intended learning outcomes

On completion of this subject, students should:



  • Be familiar with the definitions and basic theory of graphs;
  • Be able to implement standard algorithms of graph theory;
  • Be able to prove simple results in graph theory.

Generic skills

In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include:

  • problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies;
  • analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis;
  • collaborative skills: the ability to work in a team;
  • time-management skills: the ability to meet regular deadlines while balancing competing commitments.

Last updated: 20 May 2023

Eligibility and requirements

Prerequisites

One of

Code Name Teaching period Credit Points
MAST20026 Real Analysis
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
 12.5
MAST10009 Accelerated Mathematics 2
Semester 2 (On Campus - Parkville)
 12.5

and any other second year level subject from the Department of Mathematics and Statistics

Corequisites

None

Non-allowed subjects

None

Inherent requirements (core participation requirements)

The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.

Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home

Last updated: 20 May 2023

Assessment

Additional details

Two written assignments due mid-semester and at the end of semester amounting to a total of up to 50 pages (20%), and a 3-hour written examination in the examination period (80%).

Last updated: 20 May 2023

Dates & times

  • Semester 1
    Principal coordinatorSanming Zhou
    Mode of deliveryOn Campus (Parkville)
    Contact hours3 x one hour lectures per week, 1 x one hour practice class per week
    Total time commitment170 hours
    Teaching period26 February 2018 to 27 May 2018
    Last self-enrol date 9 March 2018
    Census date31 March 2018
    Last date to withdraw without fail 4 May 2018
    Assessment period ends22 June 2018

    Semester 1 contact information

    Email: sanming@unimelb.edu.au

Time commitment details

Estimated total time commitment of 170 hours

Last updated: 20 May 2023

Further information

  • Texts

    Prescribed texts

    None

    Recommended texts and other resources

    G. Chartrand, L. Lesniak and P. Zhang, Graphs and Digraphs, 6th Edition, Chapman and Hall/CRC, 2015.

  • Subject notes

    This subject is available for science credit to students enrolled in the BSc (both pre-2008 and new degrees), BASc or a combined BSc course.

  • Related Handbook entries

    This subject contributes to the following:

    TypeName
    Informal specialisationOperations Research / Discrete Mathematics specialisation
    Informal specialisationSelective subjects for B-BMED
    Informal specialisationPure Mathematics specialisation
    Informal specialisationScience-credited subjects - new generation B-SCI and B-ENG.
  • Breadth options

    This subject is available as breadth in the following courses:

  • Available through the Community Access Program

    About the Community Access Program (CAP)

    This subject is available through the Community Access Program (also called Single Subject Studies) which allows you to enrol in single subjects offered by the University of Melbourne, without the commitment required to complete a whole degree.

    Entry requirements including prerequisites may apply. Please refer to the CAP applications page for further information.

  • Available to Study Abroad and/or Study Exchange Students

    This subject is available to students studying at the University from eligible overseas institutions on exchange and study abroad. Students are required to satisfy any listed requirements, such as pre- and co-requisites, for enrolment in the subject.

Last updated: 20 May 2023