Shao, Z.; Khoeilar, R.; Karami, H.; Chellali, M.; Sheikholeslami, S. M. Disprove of a conjecture on the double Roman domination number. (English) Zbl 07811717 Aequationes Math. 98, No. 1, 241-260 (2024). MSC: 05C69 PDFBibTeX XMLCite \textit{Z. Shao} et al., Aequationes Math. 98, No. 1, 241--260 (2024; Zbl 07811717) Full Text: DOI
Hajjari, M.; Abdollahzadeh, Ahangar Hossein; Khoeilar, R.; Shao, Z.; Sheikholeslami, S. M. An upper bound on triple Roman domination. (English) Zbl 07812865 Commun. Comb. Optim. 8, No. 3, 505-511 (2023). MSC: 05C69 PDFBibTeX XMLCite \textit{M. Hajjari} et al., Commun. Comb. Optim. 8, No. 3, 505--511 (2023; Zbl 07812865) Full Text: DOI
Kosari, S.; Shao, Z.; Sheikholeslami, S. M.; Chellali, M.; Khoeilar, R.; Karami, H. A proof of a conjecture on the connected domination number. (English) Zbl 1501.05020 Bull. Malays. Math. Sci. Soc. (2) 45, No. 6, 3523-3533 (2022). MSC: 05C69 05C40 05C12 PDFBibTeX XMLCite \textit{S. Kosari} et al., Bull. Malays. Math. Sci. Soc. (2) 45, No. 6, 3523--3533 (2022; Zbl 1501.05020) Full Text: DOI
Kosari, S.; Shao, Z.; Shi, X.; Sheikholeslami, S. M.; Chellali, M.; Khoeilar, R.; Karami, H. Cubic graphs have paired-domination number at most four-seventh of their orders. (English) Zbl 1497.05208 Discrete Math. 345, No. 12, Article ID 113086, 18 p. (2022). MSC: 05C69 PDFBibTeX XMLCite \textit{S. Kosari} et al., Discrete Math. 345, No. 12, Article ID 113086, 18 p. (2022; Zbl 1497.05208) Full Text: DOI
Kosari, Saeed; Shao, Zehui; Sheikholeslami, Seyed Mahmoud; Karami, Hossein; Volkmann, Lutz Disprove of a conjecture on the doubly connected domination subdivision number. (English) Zbl 1494.05085 Bull. Iran. Math. Soc. 48, No. 4, 1351-1355 (2022). MSC: 05C69 PDFBibTeX XMLCite \textit{S. Kosari} et al., Bull. Iran. Math. Soc. 48, No. 4, 1351--1355 (2022; Zbl 1494.05085) Full Text: DOI
Shao, Zehui; Kosari, Saeed; Rahbani, Hadi; Sharifzadeh, Mehdi; Sheikholeslami, Seyed Mahmoud Strong equality of Roman and perfect Roman domination in trees. (English) Zbl 1486.05235 RAIRO, Oper. Res. 56, No. 1, 381-394 (2022). MSC: 05C69 PDFBibTeX XMLCite \textit{Z. Shao} et al., RAIRO, Oper. Res. 56, No. 1, 381--394 (2022; Zbl 1486.05235) Full Text: DOI
Shao, Zehui; Sheikholeslami, Seyed Mahmoud; Chellali, Mustapha; Khoeilar, Rana; Karami, Hossein A proof of a conjecture on the paired-domination subdivision number. (English) Zbl 1485.05141 Graphs Comb. 38, No. 3, Paper No. 71, 13 p. (2022). MSC: 05C69 PDFBibTeX XMLCite \textit{Z. Shao} et al., Graphs Comb. 38, No. 3, Paper No. 71, 13 p. (2022; Zbl 1485.05141) Full Text: DOI
Kosari, Saeed; Shao, Zehui; Sheikholeslami, Seyed Mahmoud; Chellali, Mustapha; Khoeilar, Rana; Karami, Hossein Double Roman domination in graphs with minimum degree at least two and no \(C_5\)-cycle. (English) Zbl 1484.05158 Graphs Comb. 38, No. 2, Paper No. 39, 16 p. (2022). MSC: 05C69 05C07 05C35 05C75 PDFBibTeX XMLCite \textit{S. Kosari} et al., Graphs Comb. 38, No. 2, Paper No. 39, 16 p. (2022; Zbl 1484.05158) Full Text: DOI
Kosari, S.; Shao, Z.; Khoeilar, R.; Karami, H.; Sheikholeslami, S. M.; Hao, G. On a conjecture concerning total domination subdivision number in graphs. (English) Zbl 1483.05122 AKCE Int. J. Graphs Comb. 18, No. 3, 154-157 (2021). MSC: 05C69 PDFBibTeX XMLCite \textit{S. Kosari} et al., AKCE Int. J. Graphs Comb. 18, No. 3, 154--157 (2021; Zbl 1483.05122) Full Text: DOI
Sheikholeslami, S. M.; Chellali, M.; Khoeilar, R.; Karami, H.; Shao, Z. Roman domination in graphs with minimum degree at least two and some forbidden cycles. arXiv:2110.07709 Preprint, arXiv:2110.07709 [math.CO] (2021). MSC: 05C69 BibTeX Cite \textit{S. M. Sheikholeslami} et al., ``Roman domination in graphs with minimum degree at least two and some forbidden cycles'', Preprint, arXiv:2110.07709 [math.CO] (2021) Full Text: arXiv OA License
Wu, Pu; Shao, Zehui; Jiang, Huiqin; Nazari-Moghaddam, S.; Sheikholeslami, Seyed Mahmoud Double Roman stable graphs. (English) Zbl 1499.05509 Ars Comb. 152, 183-200 (2020). MSC: 05C69 05C05 PDFBibTeX XMLCite \textit{P. Wu} et al., Ars Comb. 152, 183--200 (2020; Zbl 1499.05509)
Shao, Zehui; Kosari, S.; Anoos, R.; Sheikholeslami, S. M.; Dayap, J. A. Outer-convex dominating set in the corona of graphs as encryption key generator. (English) Zbl 1454.94097 Complexity 2020, Article ID 8316454, 8 p. (2020). MSC: 94A60 05C90 05C69 PDFBibTeX XMLCite \textit{Z. Shao} et al., Complexity 2020, Article ID 8316454, 8 p. (2020; Zbl 1454.94097) Full Text: DOI
Khoeilar, Rana; Kheibari, Mahla; Shao, Zehui; Sheikholeslami, Seyed Mahmoud Total \(k\)-rainbow domination subdivision number in graphs. (English) Zbl 1454.05089 Comput. Sci. J. Mold. 28, No. 2, 152-169 (2020). Reviewer: Doost Ali Mojdeh (Babolsar) MSC: 05C69 05C15 PDFBibTeX XMLCite \textit{R. Khoeilar} et al., Comput. Sci. J. Mold. 28, No. 2(83), 152--169 (2020; Zbl 1454.05089) Full Text: Link
Khoeilar, R.; Shahbazi, L.; Sheikholeslami, S. M.; Shao, Zehui Bounds on the signed total Roman 2-domination in graphs. (English) Zbl 1433.05247 Discrete Math. Algorithms Appl. 12, No. 1, Article ID 2050013, 12 p. (2020). MSC: 05C69 PDFBibTeX XMLCite \textit{R. Khoeilar} et al., Discrete Math. Algorithms Appl. 12, No. 1, Article ID 2050013, 12 p. (2020; Zbl 1433.05247) Full Text: DOI
Shao, Zehui; Sheikholeslami, S. M.; Nazari-Moghaddam, S.; Wang, Shaohui Global double Roman domination in graphs. (English) Zbl 1495.05241 J. Discrete Math. Sci. Cryptography 22, No. 1, 31-44 (2019). MSC: 05C69 PDFBibTeX XMLCite \textit{Z. Shao} et al., J. Discrete Math. Sci. Cryptography 22, No. 1, 31--44 (2019; Zbl 1495.05241) Full Text: DOI
Yang, Hong; Wu, Pu; Nazari-Moghaddam, Sakineh; Zhang, Xiaosong; Shao, Zehui; Tang, Yuan Yan; Sheikholeslami, Seyed Mahmoud Bounds for signed double Roman. (English) Zbl 1440.05164 RAIRO, Oper. Res. 53, No. 2, 627-643 (2019). MSC: 05C69 PDFBibTeX XMLCite \textit{H. Yang} et al., RAIRO, Oper. Res. 53, No. 2, 627--643 (2019; Zbl 1440.05164) Full Text: DOI
Wu, Pu; Li, Zepeng; Shao, Zehui; Sheikholeslami, Seyed Mahmoud Trees with equal Roman {2}-domination number and independent Roman {2}-domination number. (English) Zbl 1426.05136 RAIRO, Oper. Res. 53, No. 2, 389-400 (2019). MSC: 05C69 PDFBibTeX XMLCite \textit{P. Wu} et al., RAIRO, Oper. Res. 53, No. 2, 389--400 (2019; Zbl 1426.05136) Full Text: DOI
Shao, Zehui; Sheikholeslami, Seyed Mahmoud; Soroudi, Marzieh; Volkmann, Lutz; Liu, Xinmiao On the co-Roman domination in graphs. (English) Zbl 1404.05158 Discuss. Math., Graph Theory 39, No. 2, 455-472 (2019). MSC: 05C69 PDFBibTeX XMLCite \textit{Z. Shao} et al., Discuss. Math., Graph Theory 39, No. 2, 455--472 (2019; Zbl 1404.05158) Full Text: DOI
Shao, Zehui; Sheikholeslami, Seyed Mahmoud; Wang, Bo; Wu, Pu; Zhang, Xiaosong Trees with equal total domination and 2-rainbow domination numbers. (English) Zbl 1488.05397 Filomat 32, No. 2, 599-607 (2018). MSC: 05C69 PDFBibTeX XMLCite \textit{Z. Shao} et al., Filomat 32, No. 2, 599--607 (2018; Zbl 1488.05397) Full Text: DOI
Shao, Zehui; Sheikholeslami, S. M.; Wu, Pu; Liu, Jia-Biao The metric dimension of some generalized Petersen graphs. (English) Zbl 1417.05054 Discrete Dyn. Nat. Soc. 2018, Article ID 4531958, 10 p. (2018). MSC: 05C12 05C75 PDFBibTeX XMLCite \textit{Z. Shao} et al., Discrete Dyn. Nat. Soc. 2018, Article ID 4531958, 10 p. (2018; Zbl 1417.05054) Full Text: DOI
Amjadi, J.; Yang, Hong; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Shao, Zehui Signed double Roman \(k\)-domination in graphs. (English) Zbl 1405.05131 Australas. J. Comb. 72, Part 1, 82-105 (2018). MSC: 05C69 05C22 PDFBibTeX XMLCite \textit{J. Amjadi} et al., Australas. J. Comb. 72, Part 1, 82--105 (2018; Zbl 1405.05131) Full Text: Link
Shao, Zehui; Xu, Jin; Sheikholeslami, S. M.; Wang, Shaohui The domination complexity and related extremal values of large 3D torus. (English) Zbl 1398.05154 Complexity 2018, Article ID 3041426, 8 p. (2018). MSC: 05C69 05C90 92E10 PDFBibTeX XMLCite \textit{Z. Shao} et al., Complexity 2018, Article ID 3041426, 8 p. (2018; Zbl 1398.05154) Full Text: DOI
Wu, Pu; Shao, Zehui; Samodivkin, Vladimir; Sheikholeslami, S. M.; Soroudi, M.; Wang, Shaohui Changing and unchanging 2-rainbow independent domination. arXiv:1810.00246 Preprint, arXiv:1810.00246 [math.CO] (2018). BibTeX Cite \textit{P. Wu} et al., ``Changing and unchanging 2-rainbow independent domination'', Preprint, arXiv:1810.00246 [math.CO] (2018) Full Text: arXiv OA License