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Proper k-Connection and Strong Proper Connection

  • Xueliang Li
  • Colton Magnant
  • Zhongmei Qin
Chapter
  • 307 Downloads
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Abstract

Using a minimum degree assumption to provide density, the following was shown for pc2(G). The proper 2-connection number pc2(G) is the minimum number of colors needed to color the edges of G so that between every pair of vertices, there are at least two internally disjoint proper paths. First we present an easy lemma without proof.

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Copyright information

© The Author(s), under exclusive licence to Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Xueliang Li
    • 1
  • Colton Magnant
    • 2
  • Zhongmei Qin
    • 3
  1. 1.Center for CombinatoricsNankai UniversityTianjinChina
  2. 2.Department of MathematicsGeorgia Southern UniversityStatesboroUSA
  3. 3.College of ScienceChang’an UniversityXi’anChina

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