thesis title for graph theory

in exploring new areas of graph theory and its applications. Ad-vanced students in graph theory may use the topics presented in this book to develop their nal-year projects, master's theses or doctoral dissertations. It is the author's hope that this publication of original re-search ideas, problems and conjectures will instigate further re-xi

This thesis is the result of research between January 2002 and February 2005 in three topics of graph theory, namely: spanning 2-connected subgraphs of some classes of grid graphs, Ramsey numbers for paths versus other graphs, and λ-backbone colorings. The papers that together underlay this thesis are listed below. Publications in refereed ...

In this thesis, we exploit this symbiotic relationship between graph theory and algorithms for graph optimization problems and beyond. This thesis consists of three parts. In the first part, we study a graph routing problem called the Node-Disjoint Paths (NDP) problem. Given a graph and a set of source-destination pairs of its vertices, the ...

Namely, it is shown in Section 4.2.1 that the line graph of the Petersen graph is a generalized Cayley graph (see Example 4.2.2), and it is well-known that this graph is vertex-transitive but not Cayley graph. Besides the line graph of the Petersen graph, two in nite families of generalized Cayley graphs which are vertex-transitive

An introduction to graph theory (Text for Math 530 in Spring 2022 at Drexel University) Darij Grinberg* Spring 2023 edition, August 2, 2023 Abstract. This is a graduate-level introduction to graph theory, corresponding to a quarter-long course. It covers simple graphs, multigraphs as well as their directed analogues, and more restrictive

interest. In Chapter 3, we discuss road networks, which is the result of applying graph theory to roads, and existing non-graph-theoretical tools and data used in power systems analysis. In Chapter 4, we establish a graph-theoretical model for power systems and prove some properties about it. In Chapter 5, we examine properties of graphs we ...

graph is a graph that does not contain any arrows on its edges, indicating which way to go. A directed graph, on the other hand, is a graph in which its edges contain arrows indicating which way to go. 2.2 Properties of graph In this section we will cover key properties of a graph. There are two main properties of a graph: degrees and walks.

L(2,1)-labelling on a planar graph was proposed during a stay at INRIA in Nice. The work on the clustering coefficient was mainly carried out at Brunel University. Two chapters of this thesis are dedicated to the investigation of properties of scale-free graphs. These are graphs which have a degree distribution obey-

Graph theory is an important area of Applied Mathematics with a broad spectrum of applications in many fields. In the Call for Papers for this issue, I asked for submissions presenting new and inoovative approaches for traditional graph-theoretic problems as well as for new applications of graph theory in emerging fields, such as network security, computer science and data analysis ...

In. mathematics, graph theory is one of the important fields used in structural. models. This structural structure of different objects or technologies leads to. new developments and changes in ...

The Journal of Graph Theory is a high-calibre graphs and combinatorics journal publishing rigorous research on how these areas interact with other mathematical sciences. Our editorial team of influential graph theorists welcome submissions on a range of graph theory topics, such as structural results about graphs, graph algorithms with theoretical emphasis, and discrete optimization on graphs.

an example. A complete graph, denoted Kn, is a simple graph with n vertices such that any two distinct vertices are adjacent. A complete bipartite graph is a bipartite graph, G[X,Y], in which each x in X is adjacent to every y in Y. As noted in [6], since the usual graph colorings are special cases of list colorings, we have

Foreword. This volume attempts to survey the principal results within over-arching themes for the myriad aspects of topological graph theory. The authors of the chapters are recognized authorities in their fields. This book is written for the non-specialist and can be used as the basis for a graduate-level course.

The Generic Circular Triangle-Free Graph. In this paper, we introduce the generic circular triangle-free graph \mathbb C_3 and propose a finite axiomatization of its first order theory. In particular, our main results show that a countable graph G embeds into \mathbb C_3 if and only if it is a \ {K_3, K_1 + 2K_2, K_1+C_5, C_6\} -free graph. As ...

Graph theory is applicable to a wide range of practical problems and interacts nicely with computer science. I interviewed a Professor Emeritus of Mathematics, to understand more about the mentoring of graph theory research, including his role in mentoring ve Intel Science Research semi nalists.

Topics in Chromatic Graph Theory Chromatic graph theory is a thriving area that uses various ideas of 'colouring' (of vertices, edges, etc.) to explore aspects of graph theory. It has links with other areas of mathematics, including topology, algebra ... All the titles listed below can be obtained from good booksellers or from Cambridge ...

T2 - A Ph.D. thesis in Graph Theory. AU - Langhede, Rikke Marie. PY - 2020. Y1 - 2020. N2 - This Ph.D. thesis in mathematics concerns group connectivity and group coloring within the general area of graph theory. The contribution consists of the following parts: Weak group connectivity and weak group coloring.

theory, by using only discrete mathematics. A silnple well-known result from graph theory says that a graph G = (V, E) is bipartite if and only if all its cycles are of even length. Consider now the graph T = (IR, E), where xy E E if and only if Ix -yl = 3k , with k E Z. In order to show that T is bipartite, suppose

Total graph. Tree (graph theory). Trellis (graph) Turán graph. Ultrahomogeneous graph. Vertex-transitive graph. Visibility graph. Museum guard problem. Wheel graph.

When it was time to choose a topic for a thesis the author decided Graph Theory was an area of mathematics she would like to pursue. Having taught in Middle School for the past seventeen years, the author decided to create modules of study on Graph Theory appropriate for middle school students. Graph Theory is not generally taught at the middle

Abstract : The content of the thesis is divided into two parts; graph theory and linear programming. The main results in the first part concerns extremal graph theory. Here we want to determine the number of edges in a graph needed to ensure the existence of certain local structures. READ MORE.

Graph Theory, Labeling of Graphs, Enumeration of Graphs are just to name a few. Graph theory is one of the topics in an area of mathematics described as Discrete. Mathematics. The problems as well ...

Consult the top 50 dissertations / theses for your research on the topic 'Graph theory.'. Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

PLANAR GRAPHS, BIPLANAR GRAPHS AND GRAPH THICKNESS, Sean M. Hearon. PDF. A Dual Fano, and Dual Non-Fano Matroidal Network, Stephen Lee Johnson. PDF. Mathematical Reasoning and the Inductive Process: An Examination of The Law of Quadratic Reciprocity, Nitish Mittal. PDF. The Kauffman Bracket and Genus of Alternating Links, Bryan M. Nguyen. PDF

This thesis presents the construction of a non-Archimedean, real closed field that contains real numbers, the desired infinitesimals and infinites, and a principle of transfer. The transfer principle will allow us to translate the conventional, standard theory of analysis into a more intuitive framework in-volving infinitesimals.