Research Article

Total Domination Type Invariants of Regular Dendrimer

Volume: 16 Number: 2 June 24, 2020
EN

Total Domination Type Invariants of Regular Dendrimer

Abstract

In this paper total vertex-edge domination number and total edge-vertex domination number are calculated for regular dendrimers. New equations are obtained for regular dendrimers by using geometric series properties.

Keywords

References

  1. [1]. Haynes, TW, Hedetniemi, ST, Slater, PJ, Fundamentals of Domination in Graphs, Marcel-Dekker, New York, 1998.
  2. [2]. Haynes, TW, Hedetniemi, ST, Slater, PJ (edts), Fundamentals of Domination in Graphs: Advanced Topics, Marcel-Dekker, New York, 1998.
  3. [3]. Lewis, JR, Hedetniemi, ST, Haynes, TW, Fricke, GH 2010. Vertex-edge domination. Utilitas Mathematica ;81: 193–213.
  4. [4]. Boutrig, R, Chellali, M, Haynes, TW, Hedetniemi, ST. 2016. Vertex-edge domination in graphs. Aequationes Mathematica; 90 (2): 355-366.
  5. [5]. Peters, JW, Theoretical and algorithmic results on domination and connectivity, Ph.D. thesis, Clemson University, 1986.
  6. [6]. Ediz, S. 2017. A new tool for QSPR researches: ev-degree Randic index, Celal Bayar University Journal of Science; 13 (3): 615-618.
  7. [7]. Boutrig, R, Chellali, M. 2018. Total vertex-edge domination. International Journal Computer Mathematics; 95 (9): 1820-1828. [8]. Şahin, A, Şahin, B 2020. Total edge-vertex domination. RAIRO Theoretical Informatic and Applications, 54 (1), 1-7.
  8. [9]. Majstorovic, S, Doslic, T, Klobucar, A. 2012. K-domination on hexagonal cactus chains. Kragujevac Journal of Mathematics; 2: 335-347.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

June 24, 2020

Submission Date

January 2, 2020

Acceptance Date

June 23, 2020

Published in Issue

Year 2020 Volume: 16 Number: 2

APA
Şahin, B., & Şener, Ü. (2020). Total Domination Type Invariants of Regular Dendrimer. Celal Bayar University Journal of Science, 16(2), 225-228. https://doi.org/10.18466/cbayarfbe.669390
AMA
1.Şahin B, Şener Ü. Total Domination Type Invariants of Regular Dendrimer. CBUJOS. 2020;16(2):225-228. doi:10.18466/cbayarfbe.669390
Chicago
Şahin, Bünyamin, and Ümmügülsüm Şener. 2020. “Total Domination Type Invariants of Regular Dendrimer”. Celal Bayar University Journal of Science 16 (2): 225-28. https://doi.org/10.18466/cbayarfbe.669390.
EndNote
Şahin B, Şener Ü (June 1, 2020) Total Domination Type Invariants of Regular Dendrimer. Celal Bayar University Journal of Science 16 2 225–228.
IEEE
[1]B. Şahin and Ü. Şener, “Total Domination Type Invariants of Regular Dendrimer”, CBUJOS, vol. 16, no. 2, pp. 225–228, June 2020, doi: 10.18466/cbayarfbe.669390.
ISNAD
Şahin, Bünyamin - Şener, Ümmügülsüm. “Total Domination Type Invariants of Regular Dendrimer”. Celal Bayar University Journal of Science 16/2 (June 1, 2020): 225-228. https://doi.org/10.18466/cbayarfbe.669390.
JAMA
1.Şahin B, Şener Ü. Total Domination Type Invariants of Regular Dendrimer. CBUJOS. 2020;16:225–228.
MLA
Şahin, Bünyamin, and Ümmügülsüm Şener. “Total Domination Type Invariants of Regular Dendrimer”. Celal Bayar University Journal of Science, vol. 16, no. 2, June 2020, pp. 225-8, doi:10.18466/cbayarfbe.669390.
Vancouver
1.Bünyamin Şahin, Ümmügülsüm Şener. Total Domination Type Invariants of Regular Dendrimer. CBUJOS. 2020 Jun. 1;16(2):225-8. doi:10.18466/cbayarfbe.669390