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Mathematics > History and Overview

arXiv:2308.04512 (math)
[Submitted on 2 Aug 2023]

Title:An introduction to graph theory

Authors:Darij Grinberg
Download a PDF of the paper titled An introduction to graph theory,
by Darij Grinberg
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    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 classes such as tournaments, trees and arborescences.
    Among the features discussed are Eulerian circuits, Hamiltonian
    cycles, spanning trees, the matrix-tree and BEST theorems, proper
    colorings, Turan's theorem, bipartite matching and the Menger and
    Gallai--Milgram theorems. The basics of network flows are
    introduced in order to prove Hall's marriage theorem.
    Around a hundred exercises are included (without solutions).

          422 pages, 200+ figures. Comments are welcome! The version
Comments: at this https URL will be updated more frequently. Some
          older materials are included as ancillary files, but can
          also be found at this https URL
Subjects: History and Overview (math.HO); Combinatorics (math.CO)
MSC       05Cxx
classes:
Cite as:  arXiv:2308.04512 [math.HO]
          (or arXiv:2308.04512v1 [math.HO] for this version)
          https://doi.org/10.48550/arXiv.2308.04512
          Focus to learn more
          arXiv-issued DOI via DataCite

Submission history

From: Darij Grinberg [view email]
[v1] Wed, 2 Aug 2023 23:24:26 UTC (661 KB)
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Ancillary files (details):

  * 17s/5707lec16.tex
  * 17s/5707lec7.tex
  * 17s/5707lec8.tex
  * 17s/hw0s.tex
  * 17s/hw2s.tex

  * 17s/hw3s.tex
  * 17s/hw5s.tex
  * 17s/mt1s.tex
  * 17s/mt2s.tex
  * 17s/nogra.tex
  * 17s/quiv.tex
  * 21f/lec6.tex

  * (7 additional files not shown) You must enabled JavaScript to
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