Have a personal or library account? Click to login
Zero forcing number of degree splitting graphs and complete degree splitting graphs Cover

Zero forcing number of degree splitting graphs and complete degree splitting graphs

By: Charles Dominic  
Open Access
|Aug 2019

References

  1. [1] D. Amos, Y. Caro, R. Davila, R. Pepper, Upper bounds on the k-forcing number of a graph, Discrete Appl. Math., 181 (2015), 1–10.10.1016/j.dam.2014.08.029
  2. [2] D. Burgarth, V. Giovannetti, L. Hogben, S. Severini, M. Young, Logic circuits from zeroforcing, Natural Computing, 14 (2015), 485–490.10.1007/s11047-014-9438-5454171026300713
  3. [3] F. Harary, Graph Theory, Addison-Wesely, Massachusethes, (1969).10.21236/AD0705364
  4. [4] R. Ponraj, S. Somasundaram, On the degree splitting graph of a graph, NATL ACAD SCI LETT, 27 (7 & 8) (2004), 275–278.
  5. [5] Premodkumar, Charles Dominic, Baby Chacko, On the zeroforcing number of graphs and their splitting graphs, Algebra Discrete Math., Accepted, 28 (2019).
  6. [6] D. D. Row, Zero forcing number: Results for computation and comparison with other graph parameters, Iowa State University, Ames, Iowa (2011).
  7. [7] D. D. Row, A technique for computing the zero forcing number of a graph with a cut vertex, Linear Algebra Appl., 436 (2012), 4423–4432.10.1016/j.laa.2011.05.012
  8. [8] E. Sampathkumar, H. B. Walikaer, On the splitting graph of a graph, Journal of Karnatak University Science, 25 (1981), 13–16.
  9. [9] F. A. Taklimi, Zeroforcing sets for graphs, arXiv:1311.7672, (2013).
  10. [10] Hatice Topcu, Sezer Sorgun, Willem H. Haemers, On the spectral characterization of pineapple graphs, arXiv:1511.08674v3 [math.CO] 10 June 2016.10.1016/j.laa.2016.06.018
  11. [11] Hein van der Holst et al., Zero forcing sets and the minimum rank of graphs, Linear Algebra Appl., 428 (2008), 1628–1648,.10.1016/j.laa.2007.10.009
  12. [12] Xiaolin Zhang, Heping Zhang, Some graphs determined by their spectra, Linear Algebra Appl, 431 (2009), 1443–1454.10.1016/j.laa.2009.05.018
  13. [13] https://aimath.org/pastworkshops/catalog2.html
Language: English
Page range: 40 - 53
Submitted on: Oct 11, 2018
|
Published on: Aug 17, 2019
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2019 Charles Dominic, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.