## MA30245: Graphs and networks: theory and applications

[Page last updated: 23 October 2023]

Owning Department/School: Department of Mathematical Sciences
Credits: 6 [equivalent to 12 CATS credits]
Notional Study Hours: 120
Level: Honours (FHEQ level 6)
Period:
Semester 2
Assessment Summary: EX 100%
Assessment Detail:
• Examination (EX 100%)
Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
Requisites: Before taking this module you must ( take AT LEAST 1 MODULE FROM {XX10190, MA10265, MA10275, MA10276} AND take MA10211 AND take MA10210 ) OR take CM20217
Learning Outcomes: At the end of the course students should: understand basic graph theoretic definitions; be able to identify properties of graphs and networks; be familiar with the modelling and statistical characterisation of complex networks.

Aims: To introduce graph theory, from the mathematical fundamentals to modern applications in complex networks.

Skills: Numeracy T/F A
Problem Solving T/F A
Written and Spoken Communication F

Content: Graphs, degree sequences and graphicality. Walks, paths, cycles and trees. Linear algebra connections and spectral characterisation of some graph properties. Graph drawing and graph colouring. Statistical measures of networks, including degree distribution, clustering, small-world properties.

Course availability:

#### MA30245 is Compulsory on the following courses:

Department of Mathematical Sciences
• USMA-AFB20 : BSc(Hons) Mathematics, Statistics, and Data Science (Year 3)

#### MA30245 is Optional on the following courses:

Department of Computer Science
• USCM-AFB06 : BSc(Hons) Computer Science (Year 3)
• USCM-AAB07 : BSc(Hons) Computer Science with Study year abroad (Year 4)
• USCM-AKB07 : BSc(Hons) Computer Science with Year long work placement (Year 4)
• USCM-AFB27 : BSc(Hons) Computer Science and Artificial Intelligence (Year 3)
• USCM-AAB27 : BSc(Hons) Computer Science and Artificial Intelligence with Study year abroad (Year 4)
• USCM-AKB27 : BSc(Hons) Computer Science and Artificial Intelligence with Year long work placement (Year 4)
• USCM-AFB20 : BSc(Hons) Computer Science and Mathematics (Year 3)
• USCM-AAB20 : BSc(Hons) Computer Science and Mathematics with Study year abroad (Year 4)
• USCM-AKB20 : BSc(Hons) Computer Science and Mathematics with Year long work placement (Year 4)
• USCM-AFM01 : MComp(Hons) Computer Science (Year 3)
• USCM-AAM02 : MComp(Hons) Computer Science with Study year abroad (Year 3)
• USCM-AKM02 : MComp(Hons) Computer Science with Year long work placement (Year 3)
• USCM-AFM27 : MComp(Hons) Computer Science and Artificial Intelligence (Year 3)
• USCM-AAM27 : MComp(Hons) Computer Science and Artificial Intelligence with Study year abroad (Year 3)
• USCM-AKM27 : MComp(Hons) Computer Science and Artificial Intelligence with Year long work placement (Year 3)
• USCM-AFM14 : MComp(Hons) Computer Science and Mathematics (Year 3)
• USCM-AAM14 : MComp(Hons) Computer Science and Mathematics with Study year abroad (Year 3)
• USCM-AKM14 : MComp(Hons) Computer Science and Mathematics with Year long work placement (Year 3)
Department of Mathematical Sciences
• USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 3)
• USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
• USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
• USMA-AFB13 : BSc(Hons) Mathematics (Year 3)
• USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
• USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
• USMA-AFB01 : BSc(Hons) Mathematics and Statistics (Year 3)
• USMA-AAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 4)
• USMA-AKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 4)
• USMA-AAB06 : BSc(Hons) Statistics with Study year abroad (Year 4)
• USMA-AKB06 : BSc(Hons) Statistics with Year long work placement (Year 4)
• USMA-AFM14 : MMath(Hons) Mathematics (Year 3)
• USMA-AFM14 : MMath(Hons) Mathematics (Year 4)
• USMA-AAM15 : MMath(Hons) Mathematics with Study year abroad (Year 4)
• USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
• USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 5)

 Notes: This unit catalogue is applicable for the 2023/24 academic year only. Students continuing their studies into 2024/25 and beyond should not assume that this unit will be available in future years in the format displayed here for 2023/24. Courses and units are subject to change in accordance with normal University procedures. Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules. Find out more about these and other important University terms and conditions here.