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
Journal of Applied Mathematics and Computing
Published in: Journal of Applied Mathematics and Computing 1-2/2021

28-08-2020 | Original Research

The locating number of hexagonal Möbius ladder network

Authors: Muhammad Faisal Nadeem, Muhammad Azeem, Adnan Khalil

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2021

Log in

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

search-config
loading …

Abstract

Due to the immense applications of interconnection networks, various new networks are designed and extensively used in computer sciences and engineering fields. Networks can be expressed in the form of graphs, where node become vertex and links between nodes are called edges. To obtain the exact location of a specific node which is unique from all the nodes, several nodes are selected this is called locating/resolving set. Minimum number of nodes in the locating set is called locating number. In this article, we find the exact value of locating number of newly designed hexagonal Möbius ladder network.
previous article On the numerical solution of integral equations of the second kind over infinite intervals
next article A novel approach for the solution of BVPs via Green’s function and fixed point iterative method

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 "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

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
Literature
1.
Aiazzi, B., Baronti, S., Capanni, A., Santurri, L., Vitulli, R.: Advantages of hexagonal sampling grids and hexagonal shape detector elements in remote sensing imagers. In: 2002 11th European Signal Processing Conference, pp. 1–4. IEEE (2002)
2.
Ali, M., Ali, G., Imran, M., Baig, A.Q., Shafiq, M.K.: On the metric dimension of Möbius ladders. Ars Combin. 105, 403–410 (2012)MathSciNetMATH
3.
Birch, C.P.D., Oom, S.P., Beecham, J.A.: Rectangular and hexagonal grids used for observation, experiment and simulation in ecology. Ecol. Modell. 206(3–4), 347–359 (2007)CrossRef
4.
Chartrand, G., Eroh, L., Johnson, M.A., Oellermann, O.R.: Resolvability in graphs and the metric dimension of a graph. Discrete Appl. Math. 105(1–3), 99–113 (2000)MathSciNetCrossRef
5.
Chartrand, G., Saenpholphat, V., Zhang, P.: The independent resolving number of a graph. Math. Bohem. 128, 379–393 (2003)MathSciNetCrossRef
6.
Davis, R.L.: U.S. Patent No. 3,267,406. U.S. Patent and Trademark Office, Washington, DC (1996)
7.
8.
Hauptmann, M., Schmied, R., Viehmann, C.: Approximation complexity of metric dimension problem. J. Discrete Algoritms 14, 214–222 (2012)MathSciNetCrossRef
9.
10.
Kumar, B., Gupta, P., Pahwa, K.: Square pixels to hexagonal pixel structure representation technique. Int. J. Signal Process. Image Process. Pattern Recognit. 7(4), 137–144 (2014)
11.
Lewis, H.R., Garey, M.R., Johnson, D.S.: Computers and intractability. A guide to the theory of NP-completeness. W.H. Freeman and Company, San Franciscoc (1979). J. Symb. Log. 48(2), 498–500 (1983)
12.
Lukin, O., Vogtle, F.: Knotting and threading of molecules: chemistry and chirality of molecular knots and their assemblies. Angew. Chem. 44(10), 1456–1477 (2005)CrossRef
13.
Manthey, R., Schlosser, T., Kowerko, D.: Generation of images with hexagonal tessellation using common digital cameras. In: IBS International Summer School on Computer Science. Computer Engineering and Education Technology (2017)
14.
Manuel, P.D., Rajan, B., Rajasingh, I., Monica, M.C.: On minimum metric dimension of honeycomb networks. J. Discrete Algorithm 6, 20–27 (2008)MathSciNetCrossRef
15.
Mocnik, F.-B.: A novel identifier scheme for the ISEA Aperture 3 Hexagon Discrete Global Grid System. Cartogr. Geogr. Inf. Sci. 46(3), 277–291 (2018)CrossRef
16.
Perez-Enriquez, R.: A structural parameter for high TC superconductivity from an octahedral Möbius strip in RBaCuO: 123 type perovskites. R. arXiv:​cond-mat/​0308019 (2003)
17.
Pond, J.M.: Mobius dual-mode resonators and bandpass filters. IEEE Trans. Microw. Theory Technol. 48(12), 2465–2471 (2000)CrossRef
18.
Rohde, U.L., Poddar, A.K., Sundararajan, D.: Printed resonators: mobius strip theory and applications. Microw. J. 56(11), 24 (2013)
19.
Sahr, K., White, D., Kimerling, A.J.: Geodesic discrete global grid systems. Cartogr. Geogr. Inf. Sci. 30(2), 121–134 (2003)CrossRef
20.
21.
Shao, Z., Wu, P., Zhu, E., Chen, L.: On metric dimension in some hex derived networks. Sensors 19(1), 94 (2018)CrossRef
22.
Siddiqui, H.M.A., Imran, M.: Computing the metric dimension of wheel related graphs. Appl. Math. Comput. 242, 624–632 (2014)MathSciNetMATH
23.
24.
25.
Wen, W., Khatibi, S.: Virtual deformable image sensors: towards to a general framework for image sensors with flexible grids and forms. Sensors 18(6), 1856 (2018)CrossRef
26.
Yamashiro, A., Shimoi, Y., Harigaya, K., Wakabayashi, K.: Novel electronic states in graphene ribbons-competing spin and charge orders. Physica E 22(1–3), 688–691 (2004)CrossRef
Metadata
Title
The locating number of hexagonal Möbius ladder network
Authors
Muhammad Faisal Nadeem
Muhammad Azeem
Adnan Khalil
Publication date
28-08-2020
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2021
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-020-01430-8

Other articles of this Issue 1-2/2021

Journal of Applied Mathematics and Computing 1-2/2021 Go to the issue

Original Research

Existence and uniqueness of solutions to the damped Navier–Stokes equations with Navier boundary conditions for three dimensional incompressible fluid

Original Research

EBDF-type methods based on the linear barycentric rational interpolants for stiff IVPs

Original Research

Dynamical study of quadrating harvesting of a predator–prey model with Monod–Haldane functional response

Original Research

Approximation of fixed point and its application to fractional differential equation

Original Research

Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations

Original Research

Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative

Premium Partner

    Image Credits