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Graph Theory (MAST30011)
Undergraduate level 3Points: 12.5Dual-Delivery (Parkville)
Please refer to the return to campus page for more information on these delivery modes and students who can enrol in each mode based on their location.
About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Semester 1
Email: sanming@unimelb.edu.au
Overview
Availability | Semester 1 - Dual-Delivery |
---|---|
Fees | Look up fees |
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: 11 April 2024
Eligibility and requirements
Prerequisites
a minimum of 25 credit points of subjects, specifically inclusive of:
One of
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10009 | Accelerated Mathematics 2 | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST20026 | Real Analysis |
Semester 2 (Dual-Delivery - Parkville)
Semester 1 (Dual-Delivery - Parkville)
|
12.5 |
AND
One of any other Level 2 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: 11 April 2024
Assessment
Description | Timing | Percentage |
---|---|---|
Two written assignments due mid-semester and at the end of semester amounting to a total of up to 50 pages(*)
| During the teaching period | 20% |
A written examination
| During the examination period | 80% |
Additional details
*Due to extenuating factors related to COVID-19, assessment due dates for this subject in Semester 1, 2021 may differ with Handbook publication. Please check your subject LMS page at the start of semester for confirmed assessment timings.
Last updated: 11 April 2024
Dates & times
- Semester 1
Principal coordinator Sanming Zhou Mode of delivery Dual-Delivery (Parkville) Contact hours 3 x one hour lectures per week, 1 x one hour practice class per week Total time commitment 170 hours Teaching period 1 March 2021 to 30 May 2021 Last self-enrol date 12 March 2021 Census date 31 March 2021 Last date to withdraw without fail 7 May 2021 Assessment period ends 25 June 2021 Semester 1 contact information
Email: sanming@unimelb.edu.au
Time commitment details
Estimated total time commitment of 170 hours
Last updated: 11 April 2024
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:
Type Name Informal specialisation Operations Research / Discrete Mathematics specialisation Informal specialisation Pure Mathematics specialisation Informal specialisation Elective subjects for B-BMED Informal specialisation Science Discipline subjects - new generation B-SCI - Breadth options
This subject is available as breadth in the following courses:
- Bachelor of Arts
- Bachelor of Commerce
- Bachelor of Design
- Bachelor of Environments
- Bachelor of Fine Arts (Acting)
- Bachelor of Fine Arts (Animation)
- Bachelor of Fine Arts (Dance)
- Bachelor of Fine Arts (Film and Television)
- Bachelor of Fine Arts (Music Theatre)
- Bachelor of Fine Arts (Production)
- Bachelor of Fine Arts (Screenwriting)
- Bachelor of Fine Arts (Theatre)
- Bachelor of Fine Arts (Visual Art)
- Bachelor of Music
- 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: 11 April 2024