| Issue |
RAIRO-Oper. Res.
Volume 56, Number 5, September-October 2022
|
|
|---|---|---|
| Page(s) | 3257 - 3265 | |
| DOI | https://doi.org/10.1051/ro/2022144 | |
| Published online | 14 September 2022 | |
Sharp conditions on fractional ID-(g, f)-factor-critical covered graphs
School of Mathematics and Information Science, Yantai University, Yantai Shandong 264005, P.R. China
* Corresponding author: liuhongxia@ytu.edu.cn
Received:
25
March
2022
Accepted:
16
August
2022
Combining the concept of a fractional (g, f)-covered graph with that of a fractional ID-(g, f)-factor-critical graph, we define the concept of a fractional ID-(g, f)-factor-critical covered graph. This paper reveals the relationship between some graph parameters and the existence of fractional ID-(g, f)-factor-critical covered graphs. A sufficient condition for a graph being a fractional ID-(g, f)-factor-critical covered graph is presented. In addition, we demonstrate the sharpness of the main result in this paper by constructing a special graph class. Furthermore, the relationship between other graph parameters(such as binding number, toughness, sun toughness and neighborhood union) and fractional ID-(g, f)-factor-critical covered graphs can be studied further.
Mathematics Subject Classification: 05C70
Key words: Independence number / minimum degree / fractional (g / f)-covered graph / fractional ID-(g / f)-factor-critical graph / fractional ID-(g / f)-factor-critical covered graph
© The authors. Published by EDP Sciences, ROADEF, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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