Graph theory questions and answers pdf
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This section is worth 70% of the paper. Lecturer The lecturer is Bill Palmer, whose office is Carslaw 525 phone 9351 3048. Solution The number of spanning trees obtained from the above graph is 3. Introduction to Graph Theory , 1996. Topics covered in this unit are, for example, Eulerian and Hamitonian graphs; the theory of tree; chromatic polynomials; digraphs and tournaments.

Hence, each vertex requires a new color. The situation for the Thursday Lecture is more complicated: In weeks 7, 8, 10, 12 and 13 the class is held in Carslaw Lecture Theatre 175 at 1 pm; In weeks 9 and 11 the class is held in Teachers College 300 ie the Assembly Hall in the Old Teachers College. Dr Bill plans to be available for consultations each Monday from Week 7 between 1. But there are graphs where they can be very different. To find these papers visit the library website. I will report it as a plagiarized answer and you will be reported to Chegg and blocked. This section is worth 70% of the paper.

I am available for consultation in Carslaw Room 525 on: Friday 13 June from 1 pm - 3 pm; Thursday 26 June from 10 am - 12 noon. Graphs have many applications in almost every branch of science. Graph Theory Tutorial Problems I have decided to release the questions and solutions to Graph Theory Tutorial Problems at the same time: I do hope that this assists you in your mature approach to the reading of Mathematics at the tertiary level. Corrected Lecture Notes Three pages of my handwritten lecture notes were unclear. I am available for consultation in Carslaw Room 525 on: Friday 13 June from 1 pm - 3 pm; Thursday 26 June from 10 am - 12 noon. The quiz will last 45 minutes, non-programmable calculators are permitted and nothing else.

Solution There are 4 non-isomorphic graphs possible with 3 vertices. Multiple-choice and extended answer questions will be asked. The second section consists of longer questions which are to be answered in the provided booklets. Example 4 What is the chromatic number of complete graph K n? That is, for every number c, can you produce a graph in which the diameter is more than c times as large as the average distance? The second section, however, will be made available from the library in 2009. Graph Theory Quiz 2 Quiz 2 in Graph Theory is to be held in week 12.

When we think about a single aggregate measure to summarize the distances between the nodes in a given graph, there are two natural quantities that come to mind. These quizzes are opportunities for you to get quick feedback from the lecturer how well you are coping with the material, and help the lecturer fine-tune the pace of lectures and rectify obvious difficulties. Clearly, the number of non-isomorphic spanning trees is two. Example 1 Find the number of spanning trees in the following graph. You should be aware, however, that some of the questions from these past papers relate to topics not taught this year.

. The second section consists of longer questions which are to be answered in the peovided booklets. Thus the total available marks available on the exam is 100. Graph Theory tutorials start in the week of Monday 28 April ie Week 8. Duration of exam: one and a half hours plus ten minutes reading time. That is, for every number c, can you produce a graph in which the diameter is more than c times as large as the average distance? However, Bill Palmer's handwritten lecture notes will be available for purchase now from Kopystop.

In graph theory we deal with sets of objects called points and edges. To see the font page of this year's exam click on. The first Graph Theory lecture will be delivered on Monday 21 April. Subject to progress in the lectures, there will be approximately one practice class for three lectures. The entire examination is confidential: you may not take it away from the examination room. Graph Theory Quiz Solutions For the answers to Quizzes for 2008 click on.

When we think about a single aggregate measure to summarize the distances between the nodes in a given graph, there are two natural quantities that come to mind. The second section, however, will be made available from the library in 2009. But there are graphs where they can be very different. On Mondays, Tuesdays, Wednesdays the lectures are held in Carslaw Lecture Theatre 175 at 2 pm. You should be aware, however, that some of the questions from these past papers relate to topics not taught this year. In many graphs, these two quantities are close to each other in value. In many graphs, these two quantities are close to each other in value.

This page will be updated periodically through the semester. The quiz is based on my lectures notes pages 1 to 306 and the tutorial questions related to those pages. An announcement and further information will be distributed the week before the quiz. Show transcribed image text 3. One is the diameter, which we define to be the maximum distance between any pair of nodes in the graph. Students should also attend one tutorial each week. One is the diameter, which we define to be the maximum distance between any pair of nodes in the graph.