Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
The Robber Strikes Back Read chapter Read first chapter

2014 | OriginalPaper | Chapter

Modular Chromatic Number of C m  □ C n

Authors : N. Paramaguru, R. Sampathkumar

Published in: Computational Intelligence, Cyber Security and Computational Models

Publisher: Springer India

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

A modular k-coloring, k ≥ 2, of a graph G is a coloring of the vertices of G with the elements in Z k having the property that for every two adjacent vertices of G, the sums of the colors of their neighbors are different in Z k . The minimum k for which G has a modular k-coloring is the modular chromatic number of G. In this paper, except for some special cases, modular chromatic number of C m  □ C n is determined.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Job Block Scheduling with Dual Criteria and Sequence-Dependent Setup Time Involving Transportation Times
next chapter Network Analysis of Biserial Queues Linked with a Flowshop Scheduling System
Literature
1.
R. Balakrishnan and K. Ranganathan, “A textbook of graph theory”, Second Edition, Universitext, Springer, New York, 2012.
2.
F. Okamoto, E. Salehi and P. Zhang, “A checkerboard problem and modular colorings of graphs”, Bull. Inst. Combin. Appl., 58 (2010), 29–47.
3.
F. Okamoto, E. Salehi and P. Zhang, “A solution to the checkerboard problem”, Int. J. Comput. Appl. Math., 5 (2010), 447–458.
4.
N. Paramaguru and R. Sampathkumar, “Modular chromatic number of C m □ P n ,” Trans. Comb. 2. No. 2. (2013), 47–72.
Metadata
Title
Modular Chromatic Number of C m  □ C n
Authors
N. Paramaguru
R. Sampathkumar
Copyright Year
2014
Publisher
Springer India
Book
Computational Intelligence, Cyber Security and Computational Models

Print ISBN: 978-81-322-1679-7

Electronic ISBN: 978-81-322-1680-3

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-81-322-1680-3_36

Premium Partner

    Image Credits