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:
Numerical Solution to Singularly Perturbed Differential Equation of Reaction-Diffusion Type in MAGDM Problems Read chapter Read first chapter

2019 | OriginalPaper | Chapter

New Bounds of Induced Acyclic Graphoidal Decomposition Number of a Graph

Authors : Mayamma Joseph, I. Sahul Hamid

Published in: Applied Mathematics and Scientific Computing

Publisher: Springer International Publishing

Log in

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

search-config
loading …

Abstract

An induced acyclic graphoidal decomposition (IAGD) of a graph G is a collection ψ of nontrivial induced paths in G such that every edge of G lies in exactly one path of ψ and no two paths in ψ have a common internal vertex. The minimum cardinality of an IAGD of G is called the induced acyclic graphoidal decomposition number denoted by η ia(G). In this paper we present bounds for η ia(G) in terms of cut vertices and simplicial vertices of G.

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 Encode-then-Encrypt: A Novel Framework for Reliable and Secure Communication
next chapter Dominating Laplacian Energy in Products of Intuitionistic Fuzzy Graphs
Literature
1.
Acharya, B. D., Sampathkumar, E.: Graphoidal covers and graphoidal covering number of a graph. Indian J.pure appl.Math. 18(10), 882–890 (1987)
2.
Arumugam, S.: Path covers in graphs. Lecture Notes of the National Workshop on Decompositions of Graphs and Product Graphs held at Annamalai University, Tamil Nadu, during January 3–7, (2006)
3.
Arumugam, S., Hamid, I. S.: Simple graphoidal covers in graphs. J. Combin. Math. Combin. Comput. 64, 79–95 (2008)MathSciNetMATH
4.
Arumugam, S and Suseela, J. S.: Acyclic graphoidal covers and path partitions in a graph, Discrete Mathematics, 190, 67–77 (1998)MathSciNetCrossRef
5.
6.
7.
Singh, K. R., Das, P. K.: Induced acyclic graphoidal covers in a graph. World Academy of Science, Engineering and Technology. 68, 38–44 (2010)
8.
9.
Hamid, I. S., Joseph, M: Decomposing graphs into internally-disjoint induced paths. SCIENTIA. Series A: Mathematical Sciences. 27 47–57(2016)
10.
Stanton, R. G., Cowan, D. D., James, L.O.: Some results on path numbers. Proc. Louisiana Conf. on Combinatorics.Graph Theory and Computing, 112–135 (1970)
11.
West, D. B.: Introduction to Graph Theory, Second Edition. Prentice Hall of India, New Delhi (2005)MATH
12.
Metadata
Title
New Bounds of Induced Acyclic Graphoidal Decomposition Number of a Graph
Authors
Mayamma Joseph
I. Sahul Hamid
Copyright Year
2019
Book
Applied Mathematics and Scientific Computing

Print ISBN: 978-3-030-01122-2

Electronic ISBN: 978-3-030-01123-9

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-01123-9_59

Premium Partner

    Image Credits