Strong (1, 1, 2)-Kernels in the Corona of Graphs and Some Realization Problems-Reference-Cited by-同舟云学术

Strong (1, 1, 2)-Kernels in the Corona of Graphs and Some Realization Problems

Published:2020-02-10 Issue:2 Volume:44 Page:401-406
ISSN:1028-6276
Container-title:Iranian Journal of Science and Technology, Transactions A: Science
language:en
Short-container-title:Iran J Sci Technol Trans Sci

Author:

Bednarz Urszula^ORCID

Abstract

AbstractIn this paper, we give the necessary and sufficient conditions for the existence of strong (1, 1, 2)-kernels in the corona of graphs. Moreover, we consider lower and upper strong (1, 1, 2)-kernel numbers and we prove that the difference between these parameters can be arbitrarily large.

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy,General Mathematics,General Earth and Planetary Sciences,General Agricultural and Biological Sciences,General Chemistry

Link

http://link.springer.com/content/pdf/10.1007/s40995-020-00830-6.pdf

Reference19 articles.

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3. Bednarz P, Włoch I (2017) An algorithm determining (2-d)-kernels in trees. Util Math 102:215–222

4. Bednarz P, Hernandez-Cruz C, Włoch I (2015) On the existence and number of (2-d)-kernels in graphs. Ars Comb 121:341–351

5. Bednarz U, Włoch I On strong $$(1,1,2)$$-kernels in graphs. Ars Comb (in print)

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