Brešar, Boštjan; Hartnell, Bert L.; Henning, Michael A.; Kuenzel, Kirsti; Rall, Douglas F. A new framework to approach Vizing’s conjecture. (English) Zbl 07319577 Discuss. Math., Graph Theory 41, No. 3, 749-762 (2021). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{B. Brešar} et al., Discuss. Math., Graph Theory 41, No. 3, 749--762 (2021; Zbl 07319577) Full Text: DOI
Brešar, Boštjan; Henning, Michael A. A \(\frac{3}{4}\)-approximation of Vizing’s conjecture for claw-free graphs. (English) Zbl 1443.05138 Discrete Appl. Math. 284, 416-422 (2020). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{B. Brešar} and \textit{M. A. Henning}, Discrete Appl. Math. 284, 416--422 (2020; Zbl 1443.05138) Full Text: DOI
Pei, Li-Dan; Pan, Xiang-Feng; Hu, Fu-Tao Some improved inequalities related to Vizing’s conjecture. (English) Zbl 06856075 Inf. Process. Lett. 135, 85-91 (2018). MSC: 68Q PDF BibTeX XML Cite \textit{L.-D. Pei} et al., Inf. Process. Lett. 135, 85--91 (2018; Zbl 06856075) Full Text: DOI
Anderson, S. E.; Nagpal, Shriya; Wash, K. Domination in the hierarchical product and Vizing’s conjecture. (English) Zbl 1372.05155 Discrete Math. 341, No. 1, 20-24 (2018). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{S. E. Anderson} et al., Discrete Math. 341, No. 1, 20--24 (2018; Zbl 1372.05155) Full Text: DOI
Krop, Elliot Vizing’s conjecture: A two-thirds bound for claw-free graphs. (English) Zbl 1368.05113 Discrete Appl. Math. 230, 162-165 (2017). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{E. Krop}, Discrete Appl. Math. 230, 162--165 (2017; Zbl 1368.05113) Full Text: DOI arXiv
Yero, Ismael G.; Rodríguez-Velázquez, Juan A.; Bermudo, Sergio Alliance free sets in Cartesian product graphs. (English) Zbl 1287.05129 Discrete Appl. Math. 161, No. 10-11, 1618-1625 (2013). MSC: 05C76 05C62 PDF BibTeX XML Cite \textit{I. G. Yero} et al., Discrete Appl. Math. 161, No. 10--11, 1618--1625 (2013; Zbl 1287.05129) Full Text: DOI arXiv
Brešar, Boštjan; Dorbec, Paul; Goddard, Wayne; Hartnell, Bert L.; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F. Vizing’s conjecture: a survey and recent results. (English) Zbl 1234.05173 J. Graph Theory 69, No. 1-2, 46-76 (2012). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{B. Brešar} et al., J. Graph Theory 69, No. 1--2, 46--76 (2012; Zbl 1234.05173) Full Text: DOI
Aharoni, Ron; Szabó, Tibor Vizing’s conjecture for chordal graphs. (English) Zbl 1211.05098 Discrete Math. 309, No. 6, 1766-1768 (2009). MSC: 05C69 PDF BibTeX XML Cite \textit{R. Aharoni} and \textit{T. Szabó}, Discrete Math. 309, No. 6, 1766--1768 (2009; Zbl 1211.05098) Full Text: DOI
Brešar, Boštjan; Rall, Douglas F. Fair reception and Vizing’s conjecture. (English) Zbl 1179.05080 J. Graph Theory 61, No. 1, 45-54 (2009). MSC: 05C69 PDF BibTeX XML Cite \textit{B. Brešar} and \textit{D. F. Rall}, J. Graph Theory 61, No. 1, 45--54 (2009; Zbl 1179.05080) Full Text: DOI
El-Zahar, M. H.; Khamis, S. M.; Nazzal, Kh. M. On the domination number of the Cartesian product of the cycle of length \(n\) and any graph. (English) Zbl 1112.05074 Discrete Appl. Math. 155, No. 4, 515-522 (2007). Reviewer: Van Bang Le (Rostock) MSC: 05C69 PDF BibTeX XML Cite \textit{M. H. El-Zahar} et al., Discrete Appl. Math. 155, No. 4, 515--522 (2007; Zbl 1112.05074) Full Text: DOI