Dissertation > Excellent graduate degree dissertation topics show

Linear Coloring of Planar Graphs

Author: JuPing
Tutor: XieDeZheng
School: Chongqing University
Course: Applied Mathematics
Keywords: planar graph linear coloring the most degree linear chromatic number
CLC: O157.5
Type: Master's thesis
Year: 2013
Downloads: 15
Quote: 0
Read: Download Dissertation

Abstract


Graph coloring problem of graph is an important branch of graph theory, it comesfrom the most famous four-color conjecture. The graph coloring theory not only hasmany applications in discrete mathematics and the combination of mathematical theory,but in the optimization, the transportation, the theory of computer and communicationnetwork has a very wide range of applications. In life, arrange meetings or examinationschedule to avoid conflict, and stored in the discharge of chemical drugs to avoidcoloring theory interactions with other specific issues can use the diagram to solve.Since there are very important theoretical and practical significance of the graphcoloring theory, so it has been a hot issue in the study of graph theory.This paper mainly study linear coloring and linear coloring of some special graphsof planar graph. Linear coloring is based on normal vertex coloring, for coloring thevertices in the graph. The main contents of this paper can be divided into the followingfour parts:The first part (Chapter1) is mainly used to introduce the coloring problem of graphtheory in the historical origin and the research significance, and the purposes of thisstudy and the main content.The second part (Chapter2) mainly introduces some basic concepts in graphcoloring, focuses on the concept of linear coloring, and the research status of linearcoloring are reviewedThe third part (Chapter3and Chapter4) is the core of this chapter. In this part,focuses on the linear coloring and linear coloring problems of some special graph.Chapter3first through the linear coloring of some special graphs, discovered how touse coloring techniques achieve coloring extension. Chapter4combines thecharacteristics of linear coloring, and through the analysis of planar graph structure,using a known lemma to a certain extent the optimization of upper bound of linearchromatic number of planar graphs.The fourth part (Chapter5) the research work of this thesis is summarized, andpointed out the innovation of this paper, prospects the follow-up research work.

Related Dissertations

  1. Research on Transfer Alignment of the Missile Onboard the Aircraft,V249.322
  2. Hydrophilic structure of different types of surface -modified polyurethane material and coagulation 12 factor nine peptide fragments,and fibrinogen P1 fragment of computer simulation of the interaction,O631.3
  3. \u00C2\u00BF \u00BE ??C ?? CY \u00BF??\u00A5\u00A5 C?? \u00AF \u0153\u00E6 ?? '\u00E6 ? ?? ?? S11 \u301C,TD745
  4. Study on Connected-Way Layout Planning of Highway and Urban Road,U491
  5. An Investigation into the Hybridity Phenomenon of Poetry Translation in Hong Lou Meng,I046
  6. The Diversification Strategy Research of Coal Enterprises Based on Capabilities,F426.21
  7. A Summary of the Theses for Master’s Degree in Mongolian-Chinese Translation at N.W.University for Nationalities(1997-2009),H212
  8. Nontrivial Solutions of Nonlinear Singular n-order m-point Boundary Value Problems,O175.8
  9. Technology Research on Preparation of Nanometer ZnO by Hot Galvanizing Dross,TB383.1
  10. College Network Health Assessment System,G647
  11. Engineering fuzzy set theory in hydraulic engineering research,TV22
  12. Research on Control of the 3DOF Hover,V249.1
  13. The Relationship among Energy Consumption Environmental Pollution and Economic Development for Guizhou Province,F127;F205
  14. Research on Preparation and Characterization of Mulberry Bark Sodium Carboxymethyl Cellulose,TQ261.1
  15. Analysis on the Regional Distribution of the Chinese Educational Economics and Management Degree-Granting Units,G643
  16. Research of the Recognition Method of Garlic Direction in Planting Machinery,TP391.41
  17. Analysis on Water Ecological Carrying Capacity of Jiangxi Province,TV213.4
  18. The Research of Satisfaction of External Experts in the Modern Service Industry,F224
  19. Energy Saving in One Effect Concentrated Process of Chinese Medicine Pharmaceutical,TQ461
  20. Synthesis and Applications of Polymeric Reactive Dyes Based on Polyethylene Imine,TQ615.5
  21. Microwave Dielectric Resonator Ceramics of High-Q Value for the 3G Mobile Communication Base Stations,TQ174.756

CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Combinatorics ( combinatorics ) > Graph Theory
© 2012 www.DissertationTopic.Net  Mobile