Cheng, Meiqun; Lin, Hongying; Zhou, Bo Minimum status of series-reduced trees with given parameters. (English) Zbl 07566850 Bull. Braz. Math. Soc. (N.S.) 53, No. 3, 701-720 (2022). MSC: 05C12 05C05 05C35 05C69 PDF BibTeX XML Cite \textit{M. Cheng} et al., Bull. Braz. Math. Soc. (N.S.) 53, No. 3, 701--720 (2022; Zbl 07566850) Full Text: DOI OpenURL
Gorzkowska, Aleksandra; Henning, Michael A.; Kleszcz, Elżbieta; Pilśniak, Monika Paired domination in trees. (English) Zbl 07566018 Graphs Comb. 38, No. 4, Paper No. 129, 16 p. (2022). MSC: 05C69 PDF BibTeX XML Cite \textit{A. Gorzkowska} et al., Graphs Comb. 38, No. 4, Paper No. 129, 16 p. (2022; Zbl 07566018) Full Text: DOI OpenURL
Bermudo, Sergio; Rodríguez, José M.; Rodríguez-Velázquez, Juan A.; Sigarreta, José M. The adjacency dimension of graphs. (English) Zbl 07556788 Ars Math. Contemp. 22, No. 3, Paper No. 2, 16 p. (2022). Reviewer: Saeid Alikhani (Yazd) MSC: 05C69 05C12 PDF BibTeX XML Cite \textit{S. Bermudo} et al., Ars Math. Contemp. 22, No. 3, Paper No. 2, 16 p. (2022; Zbl 07556788) Full Text: DOI OpenURL
Abed, Saja Saeed; Al-Harere, M. N. On rings domination in graphs. (English) Zbl 07555760 Int. J. Math. Comput. Sci. 17, No. 3, 1313-1319 (2022). MSC: 05C69 PDF BibTeX XML Cite \textit{S. S. Abed} and \textit{M. N. Al-Harere}, Int. J. Math. Comput. Sci. 17, No. 3, 1313--1319 (2022; Zbl 07555760) Full Text: Link OpenURL
Kang, Cong X.; Yi, Eunjeong Distance-\(k\) locating-dominating sets in graphs. (English) Zbl 07552142 Bull. Inst. Comb. Appl. 95, 38-56 (2022). MSC: 05C69 05C12 PDF BibTeX XML Cite \textit{C. X. Kang} and \textit{E. Yi}, Bull. Inst. Comb. Appl. 95, 38--56 (2022; Zbl 07552142) Full Text: Link OpenURL
Abdollahzadeh Ahangar, Hossein; Chellali, Mustapha; Hajjari, Maryam; Sheikholeslami, Seyed Mahmoud Further progress on the total Roman \(\{2\}\)-domination number of graphs. (English) Zbl 07551788 Bull. Iran. Math. Soc. 48, No. 3, 1111-1119 (2022). MSC: 05C69 05C05 PDF BibTeX XML Cite \textit{H. Abdollahzadeh Ahangar} et al., Bull. Iran. Math. Soc. 48, No. 3, 1111--1119 (2022; Zbl 07551788) Full Text: DOI OpenURL
Mimouni, Malika; Ikhlef-Eschouf, Noureddine; Zamime, Mohamed On connected 3-\(\gamma_L\)-dot-critical graphs. (English) Zbl 07551781 Bull. Iran. Math. Soc. 48, No. 3, 979-991 (2022). MSC: 05C69 05C70 PDF BibTeX XML Cite \textit{M. Mimouni} et al., Bull. Iran. Math. Soc. 48, No. 3, 979--991 (2022; Zbl 07551781) Full Text: DOI OpenURL
Ramane, H. S.; Manjalapur, V. V. Reciprocal complementary Wiener index in terms of vertex connectivity, independence number, independence domination number and chromatic number of a graph. (English) Zbl 07546725 Palest. J. Math. 11, No. 1, 104-113 (2022). MSC: 05C12 05C92 05C35 05C09 05C69 05C15 PDF BibTeX XML Cite \textit{H. S. Ramane} and \textit{V. V. Manjalapur}, Palest. J. Math. 11, No. 1, 104--113 (2022; Zbl 07546725) Full Text: Link OpenURL
Lau, Gee-Choon; Alikhani, Saeid More on the unimodality of domination polynomial of a graph. (English) Zbl 07545469 Discrete Math. Algorithms Appl. 14, No. 4, Article ID 2150138, 9 p. (2022). MSC: 05C69 PDF BibTeX XML Cite \textit{G.-C. Lau} and \textit{S. Alikhani}, Discrete Math. Algorithms Appl. 14, No. 4, Article ID 2150138, 9 p. (2022; Zbl 07545469) Full Text: DOI OpenURL
Pouyandeh, Sara; Golriz, Maryam; Sorouhesh, Mohammad Reza; Khademi, Maryam Notes on Latin square graphs and their domination numbers. (English) Zbl 07545466 Discrete Math. Algorithms Appl. 14, No. 4, Article ID 2150135, 8 p. (2022). MSC: 05C07 05C69 05E30 PDF BibTeX XML Cite \textit{S. Pouyandeh} et al., Discrete Math. Algorithms Appl. 14, No. 4, Article ID 2150135, 8 p. (2022; Zbl 07545466) Full Text: DOI OpenURL
Samadi, Babak; Soltankhah, Nasrin; Mojdeh, Doost Ali Revisiting \(k\)-tuple dominating sets with emphasis on small values of \(k\). (English) Zbl 07544757 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1473-1487 (2022). MSC: 05C69 PDF BibTeX XML Cite \textit{B. Samadi} et al., Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1473--1487 (2022; Zbl 07544757) Full Text: DOI OpenURL
Hua, Hongbo; Hua, Xinying; Klavžar, Sandi; Xu, Kexiang Relating the total domination number and the annihilation number for quasi-trees and some composite graphs. (English) Zbl 07541396 Discrete Math. 345, No. 9, Article ID 112965, 8 p. (2022). MSC: 05C69 05-XX 05Bxx PDF BibTeX XML Cite \textit{H. Hua} et al., Discrete Math. 345, No. 9, Article ID 112965, 8 p. (2022; Zbl 07541396) Full Text: DOI OpenURL
Kazemnejad, Farshad; Pahlavsay, Behnaz; Palezzato, Elisa; Torielli, Michele Total domination number of middle graphs. (English) Zbl 1487.05197 Electron. J. Graph Theory Appl. 10, No. 1, 275-288 (2022). MSC: 05C69 PDF BibTeX XML Cite \textit{F. Kazemnejad} et al., Electron. J. Graph Theory Appl. 10, No. 1, 275--288 (2022; Zbl 1487.05197) Full Text: DOI OpenURL
Vetrík, Tomáš; Masre, Mesfin; Balachandran, Selvaraj Zeroth-order general Randić index of trees with given distance \(k\)-domination number. (English) Zbl 1487.05066 Electron. J. Graph Theory Appl. 10, No. 1, 247-257 (2022). MSC: 05C09 05C05 05C07 92E10 PDF BibTeX XML Cite \textit{T. Vetrík} et al., Electron. J. Graph Theory Appl. 10, No. 1, 247--257 (2022; Zbl 1487.05066) Full Text: DOI OpenURL
Canoy, Sergio Rosales jun.; Aradais, Alkajim A. 2-outer-independent semitotal domination in graphs. (English) Zbl 07540735 Adv. Appl. Discrete Math. 31, 67-85 (2022). MSC: 05C69 PDF BibTeX XML Cite \textit{S. R. Canoy jun.} and \textit{A. A. Aradais}, Adv. Appl. Discrete Math. 31, 67--85 (2022; Zbl 07540735) Full Text: DOI OpenURL
Bakhshesh, Davood Isolate Roman domination in graphs. (English) Zbl 1487.05191 Discrete Math. Algorithms Appl. 14, No. 3, Article ID 2150131, 12 p. (2022). MSC: 05C69 PDF BibTeX XML Cite \textit{D. Bakhshesh}, Discrete Math. Algorithms Appl. 14, No. 3, Article ID 2150131, 12 p. (2022; Zbl 1487.05191) Full Text: DOI OpenURL
Muneshwar, R. A.; Bondar, K. L. Some results of inclusion graph of a topology. (English) Zbl 1487.05120 J. Discrete Math. Sci. Cryptography 25, No. 1, 135-145 (2022). MSC: 05C25 05C69 05C07 05C12 PDF BibTeX XML Cite \textit{R. A. Muneshwar} and \textit{K. L. Bondar}, J. Discrete Math. Sci. Cryptography 25, No. 1, 135--145 (2022; Zbl 1487.05120) Full Text: DOI OpenURL
Ibrahim, Thaer A.; Omran, Ahmed A. Upper whole domination in a graph. (English) Zbl 1487.05195 J. Discrete Math. Sci. Cryptography 25, No. 1, 73-81 (2022). MSC: 05C69 PDF BibTeX XML Cite \textit{T. A. Ibrahim} and \textit{A. A. Omran}, J. Discrete Math. Sci. Cryptography 25, No. 1, 73--81 (2022; Zbl 1487.05195) Full Text: DOI OpenURL
Khoeilar, R.; Karami, H.; Chellali, M.; Sheikholeslami, S. M. Note on the domination number of graphs with forbidden cycles of lengths not divisible by 3. (English) Zbl 07535775 Australas. J. Comb. 83, Part 1, 101-108 (2022). MSC: 05C69 05C38 05C12 PDF BibTeX XML Cite \textit{R. Khoeilar} et al., Australas. J. Comb. 83, Part 1, 101--108 (2022; Zbl 07535775) Full Text: Link OpenURL
Vrána, Petr; Zhan, Xingzhi; Zhang, Leilei Every 3-connected claw-free graph with domination number at most 3 is Hamiltonian-connected. (English) Zbl 07533013 Discrete Math. 345, No. 8, Article ID 112909, 4 p. (2022). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05C45 05C69 PDF BibTeX XML Cite \textit{P. Vrána} et al., Discrete Math. 345, No. 8, Article ID 112909, 4 p. (2022; Zbl 07533013) Full Text: DOI OpenURL
Ahangar, H. Abdollahzadeh; Pour, F. Nahani; Chellali, M.; Sheikholeslami, S. M. Outer independent signed double Roman domination. (English) Zbl 1486.05220 J. Appl. Math. Comput. 68, No. 2, 705-720 (2022). MSC: 05C69 05C05 PDF BibTeX XML Cite \textit{H. A. Ahangar} et al., J. Appl. Math. Comput. 68, No. 2, 705--720 (2022; Zbl 1486.05220) Full Text: DOI OpenURL
Kalaiarasi, K.; Geethanjali, P. \(n\)-domination in vertex squared double divide interval-valued fuzzy graphs. (English) Zbl 07528058 South East Asian J. Math. Math. Sci. 18, No. 1, 373-386 (2022). MSC: 05C72 05C69 PDF BibTeX XML Cite \textit{K. Kalaiarasi} and \textit{P. Geethanjali}, South East Asian J. Math. Math. Sci. 18, No. 1, 373--386 (2022; Zbl 07528058) Full Text: Link OpenURL
Mishra, Arijit; Patra, Kuntala Intersection graph OF \(\gamma\)-sets in the total graph of \(\mathbb{Z}_n\) with respect to nil ideal. (English) Zbl 07527466 Adv. Appl. Discrete Math. 30, 59-79 (2022). MSC: 05C25 05C69 PDF BibTeX XML Cite \textit{A. Mishra} and \textit{K. Patra}, Adv. Appl. Discrete Math. 30, 59--79 (2022; Zbl 07527466) Full Text: DOI OpenURL
Dey, Pinku Chandra; Patra, Kuntala On domination of the total graph associated to \(\Gamma\)-semigroup of \(\mathbb{Z}_n\). (English) Zbl 07527463 Adv. Appl. Discrete Math. 30, 19-26 (2022). MSC: 05C25 05C69 PDF BibTeX XML Cite \textit{P. C. Dey} and \textit{K. Patra}, Adv. Appl. Discrete Math. 30, 19--26 (2022; Zbl 07527463) Full Text: DOI OpenURL
Gipson, K. Lal; Subha, T. Secure dominating sets and secure domination polynomials of cycles. (English) Zbl 07527453 Adv. Appl. Discrete Math. 29, No. 1, 59-83 (2022). MSC: 05C69 05C31 PDF BibTeX XML Cite \textit{K. L. Gipson} and \textit{T. Subha}, Adv. Appl. Discrete Math. 29, No. 1, 59--83 (2022; Zbl 07527453) Full Text: DOI OpenURL
Abdollahzadeh Ahangar, H. Trees with total Roman domination number equal to Roman domination number plus its domination number: complexity and structural properties. (English) Zbl 07524309 AKCE Int. J. Graphs Comb. 19, No. 1, 74-78 (2022). Reviewer: Eunjeong Yi (Galveston) MSC: 05C69 05C05 PDF BibTeX XML Cite \textit{H. Abdollahzadeh Ahangar}, AKCE Int. J. Graphs Comb. 19, No. 1, 74--78 (2022; Zbl 07524309) Full Text: DOI OpenURL
Chin, A. Y. M.; Maimani, H. R.; Pournaki, M. R.; Sivagami, M.; Tamizh Chelvam, T. Unitary Cayley graphs whose Roman domination numbers are at most four. (English) Zbl 1485.13019 AKCE Int. J. Graphs Comb. 19, No. 1, 36-40 (2022). MSC: 13A70 13M05 05C75 13H10 05C69 PDF BibTeX XML Cite \textit{A. Y. M. Chin} et al., AKCE Int. J. Graphs Comb. 19, No. 1, 36--40 (2022; Zbl 1485.13019) Full Text: DOI OpenURL
Frendrup, Allan; Tuza, Zsolt; Vestergaard, Preben Dahl Distance domination in vertex partitioned graphs. (English) Zbl 07523959 Math. Pannonica (N.S.) 28, No. 1, 44-57 (2022). Reviewer: William G. Brown (Montréal) MSC: 05C69 05C12 05C70 05C35 PDF BibTeX XML Cite \textit{A. Frendrup} et al., Math. Pannonica (N.S.) 28, No. 1, 44--57 (2022; Zbl 07523959) Full Text: DOI OpenURL
Cabrera-Martínez, Abel New bounds on the double domination number of trees. (English) Zbl 07516299 Discrete Appl. Math. 315, 97-103 (2022). MSC: 05C69 05C05 PDF BibTeX XML Cite \textit{A. Cabrera-Martínez}, Discrete Appl. Math. 315, 97--103 (2022; Zbl 07516299) Full Text: DOI OpenURL
Deshpande, Priyavrat; Shukla, Samir; Singh, Anurag Distance \(r\)-domination number and \(r\)-independence complexes of graphs. (English) Zbl 1486.05226 Eur. J. Comb. 102, Article ID 103508, 14 p. (2022). MSC: 05C69 05C12 57M15 PDF BibTeX XML Cite \textit{P. Deshpande} et al., Eur. J. Comb. 102, Article ID 103508, 14 p. (2022; Zbl 1486.05226) Full Text: DOI OpenURL
Chang, Fei-Huang; Chia, Ma-Lian; Kuo, David; Deng, Wen; Liaw, Sheng-Chyang; Pan, Zhishi Transferable domination number of graphs. (English) Zbl 1485.05131 Discrete Appl. Math. 313, 135-146 (2022). MSC: 05C69 05C40 PDF BibTeX XML Cite \textit{F.-H. Chang} et al., Discrete Appl. Math. 313, 135--146 (2022; Zbl 1485.05131) Full Text: DOI OpenURL
Sadiquali, A.; Sudhahar, P. Arul Paul Independent double monophonic domination number of a graph. (English) Zbl 1487.05199 J. Adv. Math. Stud. 15, No. 1, 84-96 (2022). Reviewer: Saeid Alikhani (Yazd) MSC: 05C69 05C12 PDF BibTeX XML Cite \textit{A. Sadiquali} and \textit{P. A. P. Sudhahar}, J. Adv. Math. Stud. 15, No. 1, 84--96 (2022; Zbl 1487.05199) Full Text: Link OpenURL
Hajian, Majid; Henning, Michael A.; Rad, Nader Jafari A classification of cactus graphs according to their domination number. (English) Zbl 1485.05136 Discuss. Math., Graph Theory 42, No. 2, 613-626 (2022). MSC: 05C69 PDF BibTeX XML Cite \textit{M. Hajian} et al., Discuss. Math., Graph Theory 42, No. 2, 613--626 (2022; Zbl 1485.05136) Full Text: DOI OpenURL
Mojdeh, Doost Ali; Samadi, Babak; Yero, Ismael G. Further results on packing related parameters in graphs. (English) Zbl 1485.05152 Discuss. Math., Graph Theory 42, No. 2, 333-348 (2022). MSC: 05C70 05C69 PDF BibTeX XML Cite \textit{D. A. Mojdeh} et al., Discuss. Math., Graph Theory 42, No. 2, 333--348 (2022; Zbl 1485.05152) Full Text: DOI OpenURL
Dravec, Tanja; Jakovac, Marko; Kos, Tim; Marc, Tilen On graphs with equal total domination and Grundy total domination numbers. (English) Zbl 07495444 Aequationes Math. 96, No. 1, 137-146 (2022). MSC: 05C69 05B15 PDF BibTeX XML Cite \textit{T. Dravec} et al., Aequationes Math. 96, No. 1, 137--146 (2022; Zbl 07495444) Full Text: DOI OpenURL
Liu, Chang; Yan, Zimo; Li, Jianping Extremal trees for the general Randić index with a given domination number. (English) Zbl 1485.05032 Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 767-792 (2022). MSC: 05C09 05C05 05C35 05C07 05C69 05C92 92E10 PDF BibTeX XML Cite \textit{C. Liu} et al., Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 767--792 (2022; Zbl 1485.05032) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Z. Shao} et al., Graphs Comb. 38, No. 3, Paper No. 71, 13 p. (2022; Zbl 1485.05141) Full Text: DOI OpenURL
Omran, Ahmed A.; Al-Harere, Manal N.; Kahat, Sahib Sh. Equality co-neighborhood domination in graphs. (English) Zbl 1482.05260 Discrete Math. Algorithms Appl. 14, No. 1, Article ID 2150098, 10 p. (2022). MSC: 05C69 PDF BibTeX XML Cite \textit{A. A. Omran} et al., Discrete Math. Algorithms Appl. 14, No. 1, Article ID 2150098, 10 p. (2022; Zbl 1482.05260) Full Text: DOI OpenURL
Maria Regila Baby, J.; Uma Samundesvari, K. Bounds for complete cototal domination number of Cartesian product graphs and complement graphs. (English) Zbl 1482.05255 Discrete Math. Algorithms Appl. 14, No. 1, Article ID 2150090, 9 p. (2022). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{J. Maria Regila Baby} and \textit{K. Uma Samundesvari}, Discrete Math. Algorithms Appl. 14, No. 1, Article ID 2150090, 9 p. (2022; Zbl 1482.05255) Full Text: DOI OpenURL
Eakawinrujee, Pannawat; Trakultraipruk, Nantapath \(\gamma\)-paired dominating graphs of paths. (English) Zbl 07491411 Int. J. Math. Comput. Sci. 17, No. 2, 739-752 (2022). MSC: 05C69 05C38 PDF BibTeX XML Cite \textit{P. Eakawinrujee} and \textit{N. Trakultraipruk}, Int. J. Math. Comput. Sci. 17, No. 2, 739--752 (2022; Zbl 07491411) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{S. Kosari} et al., Graphs Comb. 38, No. 2, Paper No. 39, 16 p. (2022; Zbl 1484.05158) Full Text: DOI OpenURL
Sun, Xiaoling; Du, Jianwei On Sombor index of trees with fixed domination number. (English) Zbl 07484251 Appl. Math. Comput. 421, Article ID 126946, 8 p. (2022). MSC: 05C05 92E10 PDF BibTeX XML Cite \textit{X. Sun} and \textit{J. Du}, Appl. Math. Comput. 421, Article ID 126946, 8 p. (2022; Zbl 07484251) Full Text: DOI OpenURL
Eakawinrujee, Pannawat; Trakultraipruk, Nantapath \(\gamma\)-paired dominating graphs of cycles. (English) Zbl 1483.05118 Opusc. Math. 42, No. 1, 31-54 (2022). MSC: 05C69 05C38 PDF BibTeX XML Cite \textit{P. Eakawinrujee} and \textit{N. Trakultraipruk}, Opusc. Math. 42, No. 1, 31--54 (2022; Zbl 1483.05118) Full Text: DOI OpenURL
Zhuang, Wei Super domination in trees. (English) Zbl 1483.05128 Graphs Comb. 38, No. 1, Paper No. 21, 12 p. (2022). Reviewer: Baoyindureng Wu (Urumqi) MSC: 05C69 05C05 PDF BibTeX XML Cite \textit{W. Zhuang}, Graphs Comb. 38, No. 1, Paper No. 21, 12 p. (2022; Zbl 1483.05128) Full Text: DOI arXiv OpenURL
Bujtás, Csilla; Iršič, Vesna; Klavžar, Sandi \( 1 / 2\)-conjectures on the domination game and claw-free graphs. (English) Zbl 1480.05091 Eur. J. Comb. 101, Article ID 103467, 17 p. (2022). MSC: 05C57 05C69 91A43 68R10 PDF BibTeX XML Cite \textit{C. Bujtás} et al., Eur. J. Comb. 101, Article ID 103467, 17 p. (2022; Zbl 1480.05091) Full Text: DOI arXiv OpenURL
Cabrera-Martínez, A.; Hernández-Mira, F. A. New bounds on the double total domination number of graphs. (English) Zbl 1479.05251 Bull. Malays. Math. Sci. Soc. (2) 45, No. 1, 443-453 (2022). MSC: 05C69 PDF BibTeX XML Cite \textit{A. Cabrera-Martínez} and \textit{F. A. Hernández-Mira}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 1, 443--453 (2022; Zbl 1479.05251) Full Text: DOI OpenURL
Fränzle, Martin; Shirmohammadi, Mahsa; Swaminathan, Mani; Worrell, James Costs and rewards in priced timed automata. (English) Zbl 1483.68168 Inf. Comput. 282, Article ID 104656, 17 p. (2022). MSC: 68Q45 03B25 11D72 11U05 91B02 PDF BibTeX XML Cite \textit{M. Fränzle} et al., Inf. Comput. 282, Article ID 104656, 17 p. (2022; Zbl 1483.68168) Full Text: DOI arXiv OpenURL
Yu, Huijuan; Wu, Baoyindureng Admissible property of graphs in terms of radius. (English) Zbl 1479.05290 Graphs Comb. 38, No. 1, Paper No. 6, 9 p. (2022). MSC: 05C69 PDF BibTeX XML Cite \textit{H. Yu} and \textit{B. Wu}, Graphs Comb. 38, No. 1, Paper No. 6, 9 p. (2022; Zbl 1479.05290) Full Text: DOI OpenURL
Klein, Douglas J.; Rodríguez-Velázquez, Juan A. Protection of lexicographic product graphs. (English) Zbl 1482.05254 Discuss. Math., Graph Theory 42, No. 1, 139-158 (2022). Reviewer: Iztok Peterin (Maribor) MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{D. J. Klein} and \textit{J. A. Rodríguez-Velázquez}, Discuss. Math., Graph Theory 42, No. 1, 139--158 (2022; Zbl 1482.05254) Full Text: DOI OpenURL
Li, Zepeng A note on the bounds of Roman domination numbers. (English) Zbl 07543308 AIMS Math. 6, No. 4, 3940-3946 (2021). MSC: 05C69 PDF BibTeX XML Cite \textit{Z. Li}, AIMS Math. 6, No. 4, 3940--3946 (2021; Zbl 07543308) Full Text: DOI OpenURL
Girish, V. R.; Usja, P. The minimum nonsplit domination energy of a graph. (English) Zbl 07540062 Bull. Int. Math. Virtual Inst. 11, No. 3, 583-596 (2021). MSC: 05C69 05C50 PDF BibTeX XML Cite \textit{V. R. Girish} and \textit{P. Usja}, Bull. Int. Math. Virtual Inst. 11, No. 3, 583--596 (2021; Zbl 07540062) Full Text: DOI OpenURL
Anusha, D.; John, J.; Robin, S. Joseph Graphs with small and large hop domination numbers. (English) Zbl 07540053 Bull. Int. Math. Virtual Inst. 11, No. 3, 483-489 (2021). MSC: 05C12 05C69 PDF BibTeX XML Cite \textit{D. Anusha} et al., Bull. Int. Math. Virtual Inst. 11, No. 3, 483--489 (2021; Zbl 07540053) Full Text: DOI OpenURL
Bagheri, Saeid; Koohi, Kerahroodi Mahtab Distributive lattices and some related topologies in comparison with zero-divisor graphs. (English) Zbl 1486.05124 Categ. Gen. Algebr. Struct. Appl. 14, No. 1, 223-244 (2021). MSC: 05C25 06D99 PDF BibTeX XML Cite \textit{S. Bagheri} and \textit{K. M. Koohi}, Categ. Gen. Algebr. Struct. Appl. 14, No. 1, 223--244 (2021; Zbl 1486.05124) Full Text: DOI OpenURL
Madhiyalagan, R.; Baskar, A. Wilson Vertex-edge dominating coloring of graphs. (English) Zbl 07528064 South East Asian J. Math. Math. Sci. 17, No. 3, 355-362 (2021). MSC: 05C15 05C69 PDF BibTeX XML Cite \textit{R. Madhiyalagan} and \textit{A. W. Baskar}, South East Asian J. Math. Math. Sci. 17, No. 3, 355--362 (2021; Zbl 07528064) Full Text: Link OpenURL
Jyothi, V.; Kumar, J. Suresh Edge Italian domination in graphs. (English) Zbl 07527889 South East Asian J. Math. Math. Sci. 17, No. 2, 233-240 (2021). MSC: 05C69 PDF BibTeX XML Cite \textit{V. Jyothi} and \textit{J. S. Kumar}, South East Asian J. Math. Math. Sci. 17, No. 2, 233--240 (2021; Zbl 07527889) Full Text: Link OpenURL
Rani, C. Prameela; Parvathi, M. Siva; Lakshmi, R. Domination and domatic numbers of involutory Cayley graph. (English) Zbl 07527444 Adv. Appl. Discrete Math. 28, No. 2, 335-350 (2021). MSC: 05C69 05C25 PDF BibTeX XML Cite \textit{C. P. Rani} et al., Adv. Appl. Discrete Math. 28, No. 2, 335--350 (2021; Zbl 07527444) Full Text: DOI OpenURL
Cotejo, Niña Mae G.; Benacer, Eva D. On neighbourhood transversal domination of some graphs. (English) Zbl 07527434 Adv. Appl. Discrete Math. 28, No. 2, 205-215 (2021). MSC: 54C05 54C08 54C10 PDF BibTeX XML Cite \textit{N. M. G. Cotejo} and \textit{E. D. Benacer}, Adv. Appl. Discrete Math. 28, No. 2, 205--215 (2021; Zbl 07527434) Full Text: DOI OpenURL
Aranjuez, Parlene Iris J.; Ganot, Remegia L. On weakly connected dominating polynomial of bi-star, spider, banana and complete bipartite graphs. (English) Zbl 07527432 Adv. Appl. Discrete Math. 28, No. 1, 169-193 (2021). MSC: 05C69 05C31 PDF BibTeX XML Cite \textit{P. I. J. Aranjuez} and \textit{R. L. Ganot}, Adv. Appl. Discrete Math. 28, No. 1, 169--193 (2021; Zbl 07527432) Full Text: Link OpenURL
Rajasekar, G.; Rajasekar, Govindan 2-reserved domination number of graphs. (English) Zbl 07527418 Adv. Appl. Discrete Math. 27, No. 2, 249-264 (2021). MSC: 05C69 PDF BibTeX XML Cite \textit{G. Rajasekar} and \textit{G. Rajasekar}, Adv. Appl. Discrete Math. 27, No. 2, 249--264 (2021; Zbl 07527418) Full Text: DOI OpenURL
Narayankar, Kishori P.; Saldanha, Denzil Jason; Sherra, John Global metro domination of graphs. (English) Zbl 07527417 Adv. Appl. Discrete Math. 27, No. 2, 233-247 (2021). MSC: 05C69 05C12 PDF BibTeX XML Cite \textit{K. P. Narayankar} et al., Adv. Appl. Discrete Math. 27, No. 2, 233--247 (2021; Zbl 07527417) Full Text: DOI OpenURL
Radhika, V. S.; Vijayan, A. Connected vertex-edge domination polynomials of some graphs. (English) Zbl 07527414 Adv. Appl. Discrete Math. 27, No. 2, 183-192 (2021). MSC: 05C69 05C31 PDF BibTeX XML Cite \textit{V. S. Radhika} and \textit{A. Vijayan}, Adv. Appl. Discrete Math. 27, No. 2, 183--192 (2021; Zbl 07527414) Full Text: DOI OpenURL
Entero, Giovannie M.; Pedrano, Ariel C. On connected total domination polynomial of some lexicographic product graphs. (English) Zbl 07527411 Adv. Appl. Discrete Math. 27, No. 1, 147-155 (2021). MSC: 54C05 54C08 54C10 PDF BibTeX XML Cite \textit{G. M. Entero} and \textit{A. C. Pedrano}, Adv. Appl. Discrete Math. 27, No. 1, 147--155 (2021; Zbl 07527411) Full Text: DOI OpenURL
Surya, S. Sarah; Mathew, Lian Secure domination cover pebbling number for variants of complete graphs. (English) Zbl 07527408 Adv. Appl. Discrete Math. 27, No. 1, 105-122 (2021). MSC: 05C69 05C38 94C15 PDF BibTeX XML Cite \textit{S. S. Surya} and \textit{L. Mathew}, Adv. Appl. Discrete Math. 27, No. 1, 105--122 (2021; Zbl 07527408) Full Text: DOI OpenURL
Alsalomy, Thekra; Saleh, Anwar; Muthana, Najat; Shammakh, Wafa Al Further results on the uphill domination of graphs. (English) Zbl 07527394 Adv. Appl. Discrete Math. 26, No. 2, 109-131 (2021). MSC: 05C69 PDF BibTeX XML Cite \textit{T. Alsalomy} et al., Adv. Appl. Discrete Math. 26, No. 2, 109--131 (2021; Zbl 07527394) Full Text: DOI OpenURL
Thilak, A. Senthil; Shet, Sujatha V.; Kamath, S. S. On graphs with pairwise disjoint efficient dominating sets and efficient domination in trees in terms of support vertices. (English) Zbl 07527393 Adv. Appl. Discrete Math. 26, No. 1, 83-108 (2021). MSC: 05C69 PDF BibTeX XML Cite \textit{A. S. Thilak} et al., Adv. Appl. Discrete Math. 26, No. 1, 83--108 (2021; Zbl 07527393) Full Text: DOI OpenURL
Kelly, Mike The Dirichlet eta function in an infinite-dimensional Hilbert space. (English) Zbl 07526062 Univers. J. Math. Math. Sci. 14, No. 1, 9-12 (2021). MSC: 30B50 PDF BibTeX XML Cite \textit{M. Kelly}, Univers. J. Math. Math. Sci. 14, No. 1, 9--12 (2021; Zbl 07526062) Full Text: DOI OpenURL
Du, Jianwei; Sun, Xiaoling On symmetric division deg index of trees with given parameters. (English) Zbl 1484.05045 AIMS Math. 6, No. 6, 6528-6541 (2021). MSC: 05C09 92E10 05C92 PDF BibTeX XML Cite \textit{J. Du} and \textit{X. Sun}, AIMS Math. 6, No. 6, 6528--6541 (2021; Zbl 1484.05045) Full Text: DOI OpenURL
Xie, Zhihong; Hao, Guoliang; Sheikholeslami, S. M.; Zeng, Shuting On the Italian reinforcement number of a digraph. (English) Zbl 1484.05161 AIMS Math. 6, No. 6, 6490-6505 (2021). MSC: 05C69 05C20 PDF BibTeX XML Cite \textit{Z. Xie} et al., AIMS Math. 6, No. 6, 6490--6505 (2021; Zbl 1484.05161) Full Text: DOI OpenURL
Kosari, Saeed; Rao, Yongsheng; Shao, Zehui; Amjadi, Jafar; Khoeilar, Rana Complexity of signed total \(k\)-Roman domination problem in graphs. (English) Zbl 1484.05157 AIMS Math. 6, No. 1, 952-961 (2021). MSC: 05C69 PDF BibTeX XML Cite \textit{S. Kosari} et al., AIMS Math. 6, No. 1, 952--961 (2021; Zbl 1484.05157) Full Text: DOI OpenURL
Dafik, D.; Agustin, I. H.; Prihandoko, A. C.; Kurniawati, E. Y.; Nisviasari, R.; Mohanapriya, N. On the resolving strong domination number of corona and Cartesian product of graphs. (English) Zbl 1484.05152 Palest. J. Math. 10, Spec. Iss. II, 169-177 (2021). MSC: 05C69 05C12 05C76 PDF BibTeX XML Cite \textit{D. Dafik} et al., Palest. J. Math. 10, 169--177 (2021; Zbl 1484.05152) Full Text: Link OpenURL
Xie, Zhihong; Hao, Guoliang; Zhang, Wenjuan A note on \(2\)-rainbow domination number of digraphs. (English) Zbl 07511528 Ars Comb. 155, 313-317 (2021). MSC: 05C69 05C20 PDF BibTeX XML Cite \textit{Z. Xie} et al., Ars Comb. 155, 313--317 (2021; Zbl 07511528) OpenURL
Kazemnejad, Farshad; Kazemi, Adel P. Total dominator coloring of central graphs. (English) Zbl 07511510 Ars Comb. 155, 45-67 (2021). MSC: 05C15 05C69 PDF BibTeX XML Cite \textit{F. Kazemnejad} and \textit{A. P. Kazemi}, Ars Comb. 155, 45--67 (2021; Zbl 07511510) OpenURL
Shanmugavelan, S.; Natarajan, C. On hop domination number of some generalized graph structures. (English) Zbl 1486.05234 Ural Math. J. 7, No. 2, 121-135 (2021). MSC: 05C69 PDF BibTeX XML Cite \textit{S. Shanmugavelan} and \textit{C. Natarajan}, Ural Math. J. 7, No. 2, 121--135 (2021; Zbl 1486.05234) Full Text: DOI MNR OpenURL
Gonzalez, Jesus; Hoekstra-Mendoza, Teresa I. On the homotopy type of complexes of graphs with bounded domination number. (English) Zbl 07499163 Contrib. Discrete Math. 16, No. 3, 139-160 (2021). MSC: 55P15 57Q70 PDF BibTeX XML Cite \textit{J. Gonzalez} and \textit{T. I. Hoekstra-Mendoza}, Contrib. Discrete Math. 16, No. 3, 139--160 (2021; Zbl 07499163) Full Text: Link OpenURL
Kartel, Aleksandar; Grbić, Milana; Matić, Dragan; Filipović, Vladimir The Roman domination number of some special classes of graphs – convex polytopes. (English) Zbl 07498589 Appl. Anal. Discrete Math. 15, No. 2, 393-412 (2021). MSC: 05C69 05C90 PDF BibTeX XML Cite \textit{A. Kartel} et al., Appl. Anal. Discrete Math. 15, No. 2, 393--412 (2021; Zbl 07498589) Full Text: DOI OpenURL
Griggs, Jerrold R. Spanning trees and domination in hypercubes. (English) Zbl 07497810 Integers 21A, Paper A13, 11 p. (2021). Reviewer: Iztok Peterin (Maribor) MSC: 05C69 05C05 PDF BibTeX XML Cite \textit{J. R. Griggs}, Integers 21A, Paper A13, 11 p. (2021; Zbl 07497810) Full Text: Link OpenURL
Francis, P.; Rajendraprasad, Deepak On coupon coloring of Cartesian product of some graphs. (English) Zbl 07497541 Mudgal, Apurva (ed.) et al., Algorithms and discrete applied mathematics. 7th international conference, CALDAM 2021, Rupnagar, India, February 11–13, 2021. Proceedings. Lect. Notes Comput. Sci. 12601, 309-316 (2021). MSC: 68Wxx 05C15 05C63 PDF BibTeX XML Cite \textit{P. Francis} and \textit{D. Rajendraprasad}, Lect. Notes Comput. Sci. 12601, 309--316 (2021; Zbl 07497541) Full Text: DOI OpenURL
Srinivasan, Adarsh; Narayanaswamy, N. S. The connected domination number of grids. (English) Zbl 07497535 Mudgal, Apurva (ed.) et al., Algorithms and discrete applied mathematics. 7th international conference, CALDAM 2021, Rupnagar, India, February 11–13, 2021. Proceedings. Lect. Notes Comput. Sci. 12601, 247-258 (2021). MSC: 68Wxx PDF BibTeX XML Cite \textit{A. Srinivasan} and \textit{N. S. Narayanaswamy}, Lect. Notes Comput. Sci. 12601, 247--258 (2021; Zbl 07497535) Full Text: DOI OpenURL
Iranmanesh, Mohammad A.; Moghaddami, Nasrin Domination parameters and diameter of abelian Cayley graphs. (English) Zbl 07494026 Facta Univ., Ser. Math. Inf. 36, No. 4, 695-715 (2021). MSC: 20E99 PDF BibTeX XML Cite \textit{M. A. Iranmanesh} and \textit{N. Moghaddami}, Facta Univ., Ser. Math. Inf. 36, No. 4, 695--715 (2021; Zbl 07494026) Full Text: DOI arXiv OpenURL
Goswami, Jituparna; Shabani, Masoumeh Domination in the entire nilpotent element graph of a module over a commutative ring. (English) Zbl 1483.13016 Proyecciones 40, No. 6, 1411-1430 (2021). MSC: 13A70 05C69 05C25 PDF BibTeX XML Cite \textit{J. Goswami} and \textit{M. Shabani}, Proyecciones 40, No. 6, 1411--1430 (2021; Zbl 1483.13016) Full Text: DOI OpenURL
Sripratak, Piyashat; Panma, Sayan On the bounds of the domination numbers of glued graphs. (English) Zbl 1482.05263 Thai J. Math. 19, No. 4, 1719-1728 (2021). MSC: 05C69 05C35 05C76 PDF BibTeX XML Cite \textit{P. Sripratak} and \textit{S. Panma}, Thai J. Math. 19, No. 4, 1719--1728 (2021; Zbl 1482.05263) Full Text: Link OpenURL
Assari, A.; Rahimi, M. On Beck’s coloring for measurable functions. (English) Zbl 1485.05046 Iran. J. Math. Sci. Inform. 16, No. 2, 1-10 (2021). MSC: 05C15 05C69 46E30 PDF BibTeX XML Cite \textit{A. Assari} and \textit{M. Rahimi}, Iran. J. Math. Sci. Inform. 16, No. 2, 1--10 (2021; Zbl 1485.05046) Full Text: Link OpenURL
Mahadevan, G.; Vijayalakshmi, V. Analysing of complementary perfect hop domination numeral of corona products of graphs. (English) Zbl 1482.05273 Int. J. Dyn. Syst. Differ. Equ. 11, No. 5-6, 579-593 (2021). MSC: 05C70 05C75 05C69 PDF BibTeX XML Cite \textit{G. Mahadevan} and \textit{V. Vijayalakshmi}, Int. J. Dyn. Syst. Differ. Equ. 11, No. 5--6, 579--593 (2021; Zbl 1482.05273) Full Text: DOI OpenURL
Haynes, Teresa W.; Hedetniemi, Stephen T. Vertex sequences in graphs. (English) Zbl 07486957 DML, Discrete Math. Lett. 6, 19-31 (2021). MSC: 05C69 PDF BibTeX XML Cite \textit{T. W. Haynes} and \textit{S. T. Hedetniemi}, DML, Discrete Math. Lett. 6, 19--31 (2021; Zbl 07486957) Full Text: DOI OpenURL
Samodivkin, Vladimir Excellent graphs with respect to domination: subgraphs induced by minimum dominating sets. (English) Zbl 07486945 DML, Discrete Math. Lett. 5, 12-19 (2021). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{V. Samodivkin}, DML, Discrete Math. Lett. 5, 12--19 (2021; Zbl 07486945) Full Text: DOI arXiv OpenURL
Amjadi, J.; Sadeghi, H. Double Roman reinforcement number in graphs. (English) Zbl 1483.05109 AKCE Int. J. Graphs Comb. 18, No. 3, 191-199 (2021). MSC: 05C69 05C05 PDF BibTeX XML Cite \textit{J. Amjadi} and \textit{H. Sadeghi}, AKCE Int. J. Graphs Comb. 18, No. 3, 191--199 (2021; Zbl 1483.05109) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Kosari} et al., AKCE Int. J. Graphs Comb. 18, No. 3, 154--157 (2021; Zbl 1483.05122) Full Text: DOI OpenURL
Nazim, Mohd; Nisar, Junaid; Rehman, Nadeem Ur On domination in zero-divisor graphs of rings with involution. (English) Zbl 07478714 Bull. Korean Math. Soc. 58, No. 6, 1409-1418 (2021). MSC: 16W10 05C69 05C25 PDF BibTeX XML Cite \textit{M. Nazim} et al., Bull. Korean Math. Soc. 58, No. 6, 1409--1418 (2021; Zbl 07478714) Full Text: DOI OpenURL
Muneshwar, R. A.; Bondar, K. L. Some results on an intersection graph of a topology. (English) Zbl 07477472 J. Discrete Math. Sci. Cryptography 24, No. 4, 1053-1062 (2021). Reviewer: Josef Lauri (Msida) MSC: 05C10 05C69 05C07 05C12 PDF BibTeX XML Cite \textit{R. A. Muneshwar} and \textit{K. L. Bondar}, J. Discrete Math. Sci. Cryptography 24, No. 4, 1053--1062 (2021; Zbl 07477472) Full Text: DOI OpenURL
Amutha, S.; Suriya Prabha, K.; Anbazhagan, N.; Shanthi, P. Split domination number of divisible dominating graphs. (English) Zbl 1483.05110 J. Discrete Math. Sci. Cryptography 24, No. 4, 997-1006 (2021). MSC: 05C69 PDF BibTeX XML Cite \textit{S. Amutha} et al., J. Discrete Math. Sci. Cryptography 24, No. 4, 997--1006 (2021; Zbl 1483.05110) Full Text: DOI OpenURL
Kim, Kijung On \(k\)-rainbow domination in middle graphs. (English) Zbl 1483.05121 RAIRO, Oper. Res. 55, No. 6, 3447-3458 (2021). MSC: 05C69 PDF BibTeX XML Cite \textit{K. Kim}, RAIRO, Oper. Res. 55, No. 6, 3447--3458 (2021; Zbl 1483.05121) Full Text: DOI arXiv OpenURL
Ceyhan, Elvan; Wierman, John C.; Xiang, Pengfei Law of large numbers for a two-dimensional class cover problem. (English) Zbl 07474300 ESAIM, Probab. Stat. 25, 376-407 (2021). MSC: 60F15 62H30 PDF BibTeX XML Cite \textit{E. Ceyhan} et al., ESAIM, Probab. Stat. 25, 376--407 (2021; Zbl 07474300) Full Text: DOI OpenURL
Mitsche, Dieter; Penrose, Mathew D. Limit theory of combinatorial optimization for random geometric graphs. (English) Zbl 1482.05313 Ann. Appl. Probab. 31, No. 6, 2721-2771 (2021). MSC: 05C80 60D05 60F15 90C27 90C35 60G55 PDF BibTeX XML Cite \textit{D. Mitsche} and \textit{M. D. Penrose}, Ann. Appl. Probab. 31, No. 6, 2721--2771 (2021; Zbl 1482.05313) Full Text: DOI arXiv OpenURL
Volkmann, Lutz Weak signed Roman domination in digraphs. (English) Zbl 1479.05131 Tamkang J. Math. 52, No. 4, 497-508 (2021). MSC: 05C20 05C69 PDF BibTeX XML Cite \textit{L. Volkmann}, Tamkang J. Math. 52, No. 4, 497--508 (2021; Zbl 1479.05131) Full Text: DOI OpenURL
Khoeilar, Rana; Chellali, Mustapha; Karami, Hossein; Sheikholeslami, Seyed Mahmoud Game \(k\)-domination number of graphs. (English) Zbl 1479.05280 Tamkang J. Math. 52, No. 4, 453-466 (2021). MSC: 05C69 91A43 PDF BibTeX XML Cite \textit{R. Khoeilar} et al., Tamkang J. Math. 52, No. 4, 453--466 (2021; Zbl 1479.05280) Full Text: DOI OpenURL
John, J.; Flower, V. Sujin The edge-to-edge geodetic domination number of a graph. (English) Zbl 1478.05105 Proyecciones 40, No. 3, 635-658 (2021). MSC: 05C69 05C12 PDF BibTeX XML Cite \textit{J. John} and \textit{V. S. Flower}, Proyecciones 40, No. 3, 635--658 (2021; Zbl 1478.05105) Full Text: DOI OpenURL
Zhou, Xiaotian; Zhang, Zhongzhi Edge domination number and the number of minimum edge dominating sets in pseudofractal scale-free web and Sierpiński gasket. (English) Zbl 1481.05121 Fractals 29, No. 7, Article ID 2150209, 13 p. (2021). MSC: 05C69 28A80 68R10 PDF BibTeX XML Cite \textit{X. Zhou} and \textit{Z. Zhang}, Fractals 29, No. 7, Article ID 2150209, 13 p. (2021; Zbl 1481.05121) Full Text: DOI arXiv OpenURL
Kim, Kijung Middle domination and 2-independence in trees. (English) Zbl 1478.05106 Discrete Math. Algorithms Appl. 13, No. 6, Article ID 2150079, 6 p. (2021). MSC: 05C69 PDF BibTeX XML Cite \textit{K. Kim}, Discrete Math. Algorithms Appl. 13, No. 6, Article ID 2150079, 6 p. (2021; Zbl 1478.05106) Full Text: DOI OpenURL
Anusha, D.; John, J.; Joseph Robin, S. The geodetic hop domination number of complementary prisms. (English) Zbl 1478.05035 Discrete Math. Algorithms Appl. 13, No. 6, Article ID 2150077, 15 p. (2021). MSC: 05C12 05C69 PDF BibTeX XML Cite \textit{D. Anusha} et al., Discrete Math. Algorithms Appl. 13, No. 6, Article ID 2150077, 15 p. (2021; Zbl 1478.05035) Full Text: DOI OpenURL
Murugan, E.; Sivaprakash, G. R. On the domination number of a graph and its shadow graph. (English) Zbl 1478.05111 Discrete Math. Algorithms Appl. 13, No. 6, Article ID 2150074, 10 p. (2021). MSC: 05C69 05C70 PDF BibTeX XML Cite \textit{E. Murugan} and \textit{G. R. Sivaprakash}, Discrete Math. Algorithms Appl. 13, No. 6, Article ID 2150074, 10 p. (2021; Zbl 1478.05111) Full Text: DOI OpenURL