Jokanović, Dušan; Miklavič, Štefko; Milićević, Marina; Šparl, Primož Domination in rose window graphs. (English) Zbl 07311109 Bull. Malays. Math. Sci. Soc. (2) 44, No. 1, 509-526 (2021). MSC: 05C69 05C25 PDF BibTeX XML Cite \textit{D. Jokanović} et al., Bull. Malays. Math. Sci. Soc. (2) 44, No. 1, 509--526 (2021; Zbl 07311109) Full Text: DOI
Mynhardt, Christina M.; Raczek, Joanna Block graphs with large paired domination multisubdivision number. (English) Zbl 07308504 Discuss. Math., Graph Theory 41, No. 2, 665-684 (2021). MSC: 05C69 05C51 PDF BibTeX XML Cite \textit{C. M. Mynhardt} and \textit{J. Raczek}, Discuss. Math., Graph Theory 41, No. 2, 665--684 (2021; Zbl 07308504) Full Text: DOI
Samodivkin, Vladimir Changing and unchanging of the domination number of a graph: path addition numbers. (English) Zbl 07308486 Discuss. Math., Graph Theory 41, No. 2, 365-379 (2021). MSC: 05C69 PDF BibTeX XML Cite \textit{V. Samodivkin}, Discuss. Math., Graph Theory 41, No. 2, 365--379 (2021; Zbl 07308486) Full Text: DOI
Ahangar, H. Abdollahzadeh; Amjadi, J.; Chellali, M.; Nazari-Moghaddam, S.; Sheikholeslami, S. M. Total 2-rainbow domination numbers of trees. (English) Zbl 07308485 Discuss. Math., Graph Theory 41, No. 2, 345-360 (2021). MSC: 05C69 PDF BibTeX XML Cite \textit{H. A. Ahangar} et al., Discuss. Math., Graph Theory 41, No. 2, 345--360 (2021; Zbl 07308485) Full Text: DOI
Fuchs, Michael; Holmgren, Cecilia; Mitsche, Dieter; Neininger, Ralph A note on the independence number, domination number and related parameters of random binary search trees and random recursive trees. (English) Zbl 07303836 Discrete Appl. Math. 292, 64-71 (2021). MSC: 68Q 68R 68R10 68Q25 PDF BibTeX XML Cite \textit{M. Fuchs} et al., Discrete Appl. Math. 292, 64--71 (2021; Zbl 07303836) Full Text: DOI
Choudum, S. A.; Karthick, T.; Belavadi, Manoj M. Structural domination and coloring of some \(( P_7 , C_7)\)-free graphs. (English) Zbl 07302671 Discrete Math. 344, No. 3, Article ID 112244, 12 p. (2021). MSC: 05C69 05C15 PDF BibTeX XML Cite \textit{S. A. Choudum} et al., Discrete Math. 344, No. 3, Article ID 112244, 12 p. (2021; Zbl 07302671) Full Text: DOI
Claverol, Mercè; García, Alfredo; Hernández, Gregorio; Hernando, Carmen; Maureso, Montserrat; Mora, Mercè; Tejel, Javier Total domination in plane triangulations. (English) Zbl 07299436 Discrete Math. 344, No. 1, Article ID 112179, 14 p. (2021). MSC: 05C69 05C10 PDF BibTeX XML Cite \textit{M. Claverol} et al., Discrete Math. 344, No. 1, Article ID 112179, 14 p. (2021; Zbl 07299436) Full Text: DOI
Galby, Esther; Lima, Paloma T.; Ries, Bernard Reducing the domination number of graphs via edge contractions and vertex deletions. (English) Zbl 07299429 Discrete Math. 344, No. 1, Article ID 112169, 26 p. (2021). MSC: 05C69 05C99 PDF BibTeX XML Cite \textit{E. Galby} et al., Discrete Math. 344, No. 1, Article ID 112169, 26 p. (2021; Zbl 07299429) Full Text: DOI
Pei, Lidan; Pan, Xiangfeng; Wang, Kun; Tian, Jing Proofs of the AutoGraphiX conjectures on the domination number, average eccentricity and proximity. (English) Zbl 07289390 Discrete Appl. Math. 289, 292-301 (2021). MSC: 05C69 05C12 05C40 PDF BibTeX XML Cite \textit{L. Pei} et al., Discrete Appl. Math. 289, 292--301 (2021; Zbl 07289390) Full Text: DOI
Brešar, Boštjan; Bujtás, Csilla; Gologranc, Tanja; Klavžar, Sandi; Košmrlj, Gašper; Marc, Tilen; Patkós, Balázs; Tuza, Zsolt; Vizer, Máté On Grundy total domination number in product graphs. (English) Zbl 07282954 Discuss. Math., Graph Theory 41, No. 1, 225-247 (2021). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{B. Brešar} et al., Discuss. Math., Graph Theory 41, No. 1, 225--247 (2021; Zbl 07282954) Full Text: DOI
Cabrera Martínez, Abel; Peterin, Iztok; Yero, Ismael G. Independent transversal total domination versus total domination in trees. (English) Zbl 07282953 Discuss. Math., Graph Theory 41, No. 1, 213-224 (2021). MSC: 05C69 05C05 PDF BibTeX XML Cite \textit{A. Cabrera Martínez} et al., Discuss. Math., Graph Theory 41, No. 1, 213--224 (2021; Zbl 07282953) Full Text: DOI
Dehgardi, Nasrin; Sheikholeslami, Seyed Mahmoud; Valinavaz, Mina; Aram, Hamideh; Volkmann, Lutz Domination number, independent domination number and 2-independence number in trees. (English) Zbl 07282941 Discuss. Math., Graph Theory 41, No. 1, 39-49 (2021). MSC: 05C69 05C05 05C35 PDF BibTeX XML Cite \textit{N. Dehgardi} et al., Discuss. Math., Graph Theory 41, No. 1, 39--49 (2021; Zbl 07282941) Full Text: DOI
Dong, Fengming; Ge, Jun; Yang, Yan Upper bounds on the signed edge domination number of a graph. (English) Zbl 07282515 Discrete Math. 344, No. 2, Article ID 112201, 12 p. (2021). Reviewer: Sandi Klavžar (Ljubljana) MSC: 05C69 PDF BibTeX XML Cite \textit{F. Dong} et al., Discrete Math. 344, No. 2, Article ID 112201, 12 p. (2021; Zbl 07282515) Full Text: DOI
Wang, Long; Yan, Chunyu; Fang, Xianwen; Geng, Xianya; Tian, Fenglei Vertex-connectivity, chromatic number, domination number, maximum degree and Laplacian eigenvalue distribution. (English) Zbl 07309729 Linear Algebra Appl. 607, 307-318 (2020). MSC: 05C50 PDF BibTeX XML Cite \textit{L. Wang} et al., Linear Algebra Appl. 607, 307--318 (2020; Zbl 07309729) Full Text: DOI
Sudhahar, P. Arul Paul; Umamaheswari, R. The connected total restrained geodetic domination number of a graph. (English) Zbl 07303978 J. Adv. Math. Stud. 13, No. 3, 350-358 (2020). MSC: 90C35 PDF BibTeX XML Cite \textit{P. A. P. Sudhahar} and \textit{R. Umamaheswari}, J. Adv. Math. Stud. 13, No. 3, 350--358 (2020; Zbl 07303978) Full Text: Link
Mathias, Anisha Jean; Sangeetha, V.; Acharya, Mukti Restrained domination in signed graphs. (English) Zbl 1452.05078 Acta Univ. Sapientiae, Math. 12, No. 1, 155-163 (2020). MSC: 05C22 05C69 PDF BibTeX XML Cite \textit{A. J. Mathias} et al., Acta Univ. Sapientiae, Math. 12, No. 1, 155--163 (2020; Zbl 1452.05078) Full Text: DOI
Al-Emrany, Saqr H.; Shubatah, Mahioub M. Q. Inverse domination in bipolar fuzzy graphs. (English) Zbl 07297265 Ann. Fuzzy Math. Inform. 20, No. 1, 67-77 (2020). MSC: 03E72 05C69 05C72 PDF BibTeX XML Cite \textit{S. H. Al-Emrany} and \textit{M. M. Q. Shubatah}, Ann. Fuzzy Math. Inform. 20, No. 1, 67--77 (2020; Zbl 07297265) Full Text: DOI
Chaluvaraju, B.; Chaitra, V. Restricted minus domination number of a graph. (English) Zbl 07296955 South East Asian J. Math. Math. Sci. 16, No. 2, 289-296 (2020). MSC: 05C69 05C70 PDF BibTeX XML Cite \textit{B. Chaluvaraju} and \textit{V. Chaitra}, South East Asian J. Math. Math. Sci. 16, No. 2, 289--296 (2020; Zbl 07296955) Full Text: Link
Zhou, Zhongwang Signed star domination numbers and factors of graphs. (Chinese. English summary) Zbl 07296013 Math. Pract. Theory 50, No. 10, 291-295 (2020). MSC: 05C69 05C70 PDF BibTeX XML Cite \textit{Z. Zhou}, Math. Pract. Theory 50, No. 10, 291--295 (2020; Zbl 07296013)
Mynhardt, C. M.; Ogden, S. E. A. Total Roman domination edge-supercritical and edge-removal-supercritical graphs. (English) Zbl 07283896 Australas. J. Comb. 78, Part 3, 413-433 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{C. M. Mynhardt} and \textit{S. E. A. Ogden}, Australas. J. Comb. 78, Part 3, 413--433 (2020; Zbl 07283896) Full Text: Link
Turacı, Tufan On combining the methods of link residual and domination in networks. (English) Zbl 07274562 Fundam. Inform. 174, No. 1, 43-59 (2020). MSC: 68 PDF BibTeX XML Cite \textit{T. Turacı}, Fundam. Inform. 174, No. 1, 43--59 (2020; Zbl 07274562) Full Text: DOI
Wang, Tao; Wu, Baoyindureng Domination in transformation graph \(G^{xy^-}\). (English) Zbl 1452.05134 Util. Math. 114, 309-317 (2020). MSC: 05C69 05C82 PDF BibTeX XML Cite \textit{T. Wang} and \textit{B. Wu}, Util. Math. 114, 309--317 (2020; Zbl 1452.05134)
Muthuselvi, A.; Arumugam, S. On majority total domination in graphs. (English) Zbl 1452.05124 Util. Math. 114, 239-247 (2020). MSC: 05C69 05C35 PDF BibTeX XML Cite \textit{A. Muthuselvi} and \textit{S. Arumugam}, Util. Math. 114, 239--247 (2020; Zbl 1452.05124)
Nayaka, S. R.; Alwardi, Anwar; Puttaswamy Transversal total domination in graphs. (English) Zbl 1452.05125 J. Comb. Math. Comb. Comput. 112, 231-240 (2020). MSC: 05C69 05D15 05C50 05C75 PDF BibTeX XML Cite \textit{S. R. Nayaka} et al., J. Comb. Math. Comb. Comput. 112, 231--240 (2020; Zbl 1452.05125)
Chen, Xue-Gang; Zhao, Xue-Song The exact 2-domination number of generalized Petersen graphs. (English) Zbl 1451.05168 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 54, 5 p. (2020). MSC: 05C69 05C35 PDF BibTeX XML Cite \textit{X.-G. Chen} and \textit{X.-S. Zhao}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 54, 5 p. (2020; Zbl 1451.05168) Full Text: DOI
Khoeilar, Rana; Kheibari, Mahla; Shao, Zehui; Sheikholeslami, Seyed Mahmoud Total \(k\)-rainbow domination subdivision number in graphs. (English) Zbl 07268786 Comput. Sci. J. Mold. 28, No. 2, 152-169 (2020). Reviewer: Doost Ali Mojdeh (Babolsar) MSC: 05C69 05C15 PDF BibTeX XML Cite \textit{R. Khoeilar} et al., Comput. Sci. J. Mold. 28, No. 2, 152--169 (2020; Zbl 07268786) Full Text: Link
Xie, Xin; Xiang, Shijing On the \((l, 2n)\)-domination number of the \(n\)-dimensional undirected toroidal mesh. (Chinese. English summary) Zbl 07266740 J. Fudan Univ., Nat. Sci. 59, No. 2, 149-155 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{X. Xie} and \textit{S. Xiang}, J. Fudan Univ., Nat. Sci. 59, No. 2, 149--155 (2020; Zbl 07266740)
Xu, Jiaxue; Wang, Zhiping On the strong Roman domination number of some special graphs. (Chinese. English summary) Zbl 07266465 Chin. J. Eng. Math. 37, No. 3, 295-302 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{J. Xu} and \textit{Z. Wang}, Chin. J. Eng. Math. 37, No. 3, 295--302 (2020; Zbl 07266465) Full Text: DOI
Zhou, Zhongwang Signed total \(\{k\}\)-domination number of \({P_2} \times {C_n}\). (Chinese. English summary) Zbl 07266416 Appl. Math., Ser. A (Chin. Ed.) 35, No. 1, 115-120 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{Z. Zhou}, Appl. Math., Ser. A (Chin. Ed.) 35, No. 1, 115--120 (2020; Zbl 07266416) Full Text: DOI
Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. On the signed Roman \(k\)-domination in graphs. (English) Zbl 1452.05115 Quaest. Math. 43, No. 8, 1065-1082 (2020). Reviewer: Sandi Klavžar (Ljubljana) MSC: 05C69 PDF BibTeX XML Cite \textit{J. Amjadi} et al., Quaest. Math. 43, No. 8, 1065--1082 (2020; Zbl 1452.05115) Full Text: DOI
Ramezani, F. Domination parameters of Cayley graphs of some groups. (English) Zbl 1451.13020 J. Linear Topol. Algebra 9, No. 3, 193-200 (2020). Reviewer: T. Tamizh Chelvam (Tirunelveli) MSC: 13A70 05C69 05C25 PDF BibTeX XML Cite \textit{F. Ramezani}, J. Linear Topol. Algebra 9, No. 3, 193--200 (2020; Zbl 1451.13020) Full Text: Link
Burness, Timothy C.; Harper, Scott Finite groups, 2-generation and the uniform domination number. (English) Zbl 07261521 Isr. J. Math. 239, No. 1, 271-367 (2020). Reviewer: Andrea Lucchini (Padova) MSC: 20J06 20C05 20F05 20J05 20D06 PDF BibTeX XML Cite \textit{T. C. Burness} and \textit{S. Harper}, Isr. J. Math. 239, No. 1, 271--367 (2020; Zbl 07261521) Full Text: DOI
Shalini, V.; Rajasingh, Indra Domination and inverse domination in wrapped butterfly networks. (English) Zbl 1444.05110 Int. J. Math. Comput. Sci. 15, No. 4, 1055-1063 (2020). MSC: 05C69 05C82 PDF BibTeX XML Cite \textit{V. Shalini} and \textit{I. Rajasingh}, Int. J. Math. Comput. Sci. 15, No. 4, 1055--1063 (2020; Zbl 1444.05110) Full Text: Link
Chantarachada, Nattakritta; Worawannotai, Chalermpong Domination game on powers of cycles. (English) Zbl 07256138 Thai J. Math., Spec. Iss.: Annual Meeting in Mathematics 2019, 261-268 (2020). MSC: 05C57 91A43 05C69 PDF BibTeX XML Cite \textit{N. Chantarachada} and \textit{C. Worawannotai}, Thai J. Math. , 261--268 (2020; Zbl 07256138) Full Text: Link
Li, Rao Domination number and traceability of graphs. (English) Zbl 07250393 DML, Discrete Math. Lett. 4, 27-30 (2020). MSC: 05C45 05C69 PDF BibTeX XML Cite \textit{R. Li}, DML, Discrete Math. Lett. 4, 27--30 (2020; Zbl 07250393) Full Text: Link
Harris, Pamela E.; Insko, Erik; Johnson, Katie Projects in \((t,r)\) broadcast domination. (English) Zbl 1447.05154 Harris, Pamela E. (ed.) et al., A project-based guide to undergraduate research in mathematics. Starting and sustaining accessible undergraduate research. Cham: Birkhäuser. Found. Undergrad. Res. Math., 235-262 (2020). MSC: 05C69 05C90 PDF BibTeX XML Cite \textit{P. E. Harris} et al., in: A project-based guide to undergraduate research in mathematics. Starting and sustaining accessible undergraduate research. Cham: Birkhäuser. 235--262 (2020; Zbl 1447.05154) Full Text: DOI
Alikhani, Saeid; Ramezani, Fatemeh; Vatandoost, Ebrahim On the signed domination number of some Cayley graphs. (English) Zbl 1447.05152 Commun. Algebra 48, No. 7, 2825-2832 (2020). MSC: 05C69 05C22 05C25 PDF BibTeX XML Cite \textit{S. Alikhani} et al., Commun. Algebra 48, No. 7, 2825--2832 (2020; Zbl 1447.05152) Full Text: DOI
Wolff, Kimber An improvement in the two-packing bound related to Vizing’s conjecture. (English) Zbl 1447.05162 Theory Appl. Graphs 7, No. 1, Article 5, 4 p. (2020). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{K. Wolff}, Theory Appl. Graphs 7, No. 1, Article 5, 4 p. (2020; Zbl 1447.05162) Full Text: DOI
Bujtás, Csilla General upper bound on the game domination number. (English) Zbl 1447.05130 Discrete Appl. Math. 285, 530-538 (2020). MSC: 05C57 05C69 91A43 PDF BibTeX XML Cite \textit{C. Bujtás}, Discrete Appl. Math. 285, 530--538 (2020; Zbl 1447.05130) Full Text: DOI
Vemuri, Harish Domination in direct products of complete graphs. (English) Zbl 1447.05161 Discrete Appl. Math. 285, 473-482 (2020). MSC: 05C69 05C76 05C25 PDF BibTeX XML Cite \textit{H. Vemuri}, Discrete Appl. Math. 285, 473--482 (2020; Zbl 1447.05161) Full Text: DOI
Ai, Jiangdong; Lei, Hui; Shi, Yongtang; Yao, Shunyu; Zhang, Zan-Bo \(k\)-ary spanning trees contained in tournaments. (English) Zbl 1447.05053 Discrete Appl. Math. 285, 141-146 (2020). MSC: 05C05 05C20 05C69 PDF BibTeX XML Cite \textit{J. Ai} et al., Discrete Appl. Math. 285, 141--146 (2020; Zbl 1447.05053) Full Text: DOI
Tamizh Chelvam, T.; Anukumar Kathirvel, S.; Balamurugan, M. Domination in generalized unit and unitary Cayley graphs of finite rings. (English) Zbl 1447.05105 Indian J. Pure Appl. Math. 51, No. 2, 533-556 (2020). Reviewer: Joy Morris (Lethbridge) MSC: 05C25 05C69 16P10 PDF BibTeX XML Cite \textit{T. Tamizh Chelvam} et al., Indian J. Pure Appl. Math. 51, No. 2, 533--556 (2020; Zbl 1447.05105) Full Text: DOI
Hinz, Andreas M.; Movarraei, Nazanin The Hanoi graph \(H_4^3\). (English) Zbl 1446.05071 Discuss. Math., Graph Theory 40, No. 4, 1095-1109 (2020). MSC: 05C69 05C12 05C15 PDF BibTeX XML Cite \textit{A. M. Hinz} and \textit{N. Movarraei}, Discuss. Math., Graph Theory 40, No. 4, 1095--1109 (2020; Zbl 1446.05071) Full Text: DOI
Volkmann, Lutz The double Roman domatic number of a digraph. (English) Zbl 1446.05074 Discuss. Math., Graph Theory 40, No. 4, 995-1004 (2020). MSC: 05C69 05C20 05C40 PDF BibTeX XML Cite \textit{L. Volkmann}, Discuss. Math., Graph Theory 40, No. 4, 995--1004 (2020; Zbl 1446.05074) Full Text: DOI
Ma, Menghan; Hong, Xia Signed total domination number of two classes of graphs. (Chinese. English summary) Zbl 1449.05202 J. Math., Wuhan Univ. 40, No. 1, 53-60 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{M. Ma} and \textit{X. Hong}, J. Math., Wuhan Univ. 40, No. 1, 53--60 (2020; Zbl 1449.05202) Full Text: DOI
Xu, Baogen; Zhang, Junxia; Li, Guang Signed domination numbers for two classes of product graphs. (Chinese. English summary) Zbl 1449.05206 J. Henan Univ. Sci. Technol., Nat. Sci. 41, No. 2, 94-98 (2020). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{B. Xu} et al., J. Henan Univ. Sci. Technol., Nat. Sci. 41, No. 2, 94--98 (2020; Zbl 1449.05206) Full Text: DOI
Chen, Xue-Gang; Sohn, Moo Young; Wang, Yu-Feng Total domination number of central trees. (English) Zbl 1446.05069 Bull. Korean Math. Soc. 57, No. 1, 245-250 (2020). Reviewer: Doost Ali Mojdeh (Babolsar) MSC: 05C69 05C35 PDF BibTeX XML Cite \textit{X.-G. Chen} et al., Bull. Korean Math. Soc. 57, No. 1, 245--250 (2020; Zbl 1446.05069) Full Text: DOI
Wang, Bin; Zhang, Tao The 2-tuple dominating independent number of a random graph. (English) Zbl 1446.05075 Contrib. Discrete Math. 15, No. 2, 84-94 (2020). Reviewer: V. Yegnanarayanan (Chennai) MSC: 05C69 05C80 PDF BibTeX XML Cite \textit{B. Wang} and \textit{T. Zhang}, Contrib. Discrete Math. 15, No. 2, 84--94 (2020; Zbl 1446.05075) Full Text: DOI
Mojdeh, Doost Ali; Samadi, Babak; Volkmann, Lutz Nordhaus-Gaddum type inequalities for multiple domination and packing parameters in graphs. (English) Zbl 07232879 Contrib. Discrete Math. 15, No. 1, 154-162 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{D. A. Mojdeh} et al., Contrib. Discrete Math. 15, No. 1, 154--162 (2020; Zbl 07232879) Full Text: DOI
Cynthia, V. Jude Annie; Kavitha, A. On 2 and 3-rainbow domination number of circulant graph \(G(n;\pm\{1,2,3\})\). (English) Zbl 1444.05106 Int. J. Math. Comput. Sci. 15, No. 2, 661-670 (2020). MSC: 05C69 05C15 PDF BibTeX XML Cite \textit{V. J. A. Cynthia} and \textit{A. Kavitha}, Int. J. Math. Comput. Sci. 15, No. 2, 661--670 (2020; Zbl 1444.05106) Full Text: Link
Amjadi, J.; Khoeilar, R.; Chellali, M.; Shao, Z. On the Roman domination subdivision number of a graph. (English) Zbl 1447.05153 J. Comb. Optim. 40, No. 2, 501-511 (2020). Reviewer: Iztok Peterin (Maribor) MSC: 05C69 PDF BibTeX XML Cite \textit{J. Amjadi} et al., J. Comb. Optim. 40, No. 2, 501--511 (2020; Zbl 1447.05153) Full Text: DOI
Bonato, Anthony; Chuangpishit, Huda; English, Sean; Kay, Bill; Meger, Erin The iterated local model for social networks. (English) Zbl 1444.91173 Discrete Appl. Math. 284, 556-571 (2020). MSC: 91D30 05C90 PDF BibTeX XML Cite \textit{A. Bonato} et al., Discrete Appl. Math. 284, 556--571 (2020; Zbl 1444.91173) Full Text: DOI
Kuzman, Boštjan On \(k\)-rainbow domination in regular graphs. (English) Zbl 1443.05147 Discrete Appl. Math. 284, 454-464 (2020). MSC: 05C69 05C25 PDF BibTeX XML Cite \textit{B. Kuzman}, Discrete Appl. Math. 284, 454--464 (2020; Zbl 1443.05147) Full Text: DOI
Liu, Huiqing; Hu, Xuejiao; Hu, Xiaolan Burning number of caterpillars. (English) Zbl 1443.05149 Discrete Appl. Math. 284, 332-340 (2020). MSC: 05C69 05C12 05C82 91D30 PDF BibTeX XML Cite \textit{H. Liu} et al., Discrete Appl. Math. 284, 332--340 (2020; Zbl 1443.05149) Full Text: DOI
Chen, Xue-Gang A note on the double Roman domination number of graphs. (English) Zbl 07217129 Czech. Math. J. 70, No. 1, 205-212 (2020). MSC: 05C69 05C35 PDF BibTeX XML Cite \textit{X.-G. Chen}, Czech. Math. J. 70, No. 1, 205--212 (2020; Zbl 07217129) Full Text: DOI
Borg, Peter; Kaemawichanurat, Pawaton Partial domination of maximal outerplanar graphs. (English) Zbl 1442.05149 Discrete Appl. Math. 283, 306-314 (2020). MSC: 05C69 05C10 05C35 PDF BibTeX XML Cite \textit{P. Borg} and \textit{P. Kaemawichanurat}, Discrete Appl. Math. 283, 306--314 (2020; Zbl 1442.05149) Full Text: DOI
Goswami, Jituparna Some domination properties of the total graph of a module with respect to singular submodule. (English) Zbl 1442.05154 Online J. Anal. Comb. 15, Article 3, 10 p. (2020). MSC: 05C69 05C25 13A70 PDF BibTeX XML Cite \textit{J. Goswami}, Online J. Anal. Comb. 15, Article 3, 10 p. (2020; Zbl 1442.05154) Full Text: Link
Krop, Elliot; Davila, Randy R. On a Vizing-type integer domination conjecture. (English) Zbl 1441.05172 Theory Appl. Graphs 7, No. 1, Article 4, 7 p. (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{E. Krop} and \textit{R. R. Davila}, Theory Appl. Graphs 7, No. 1, Article 4, 7 p. (2020; Zbl 1441.05172) Full Text: DOI
Hao, Guoliang; Chen, Xiaodan On the global double Roman domination of graphs. (English) Zbl 1441.05170 Bull. Malays. Math. Sci. Soc. (2) 43, No. 4, 3007-3018 (2020). MSC: 05C69 05C05 PDF BibTeX XML Cite \textit{G. Hao} and \textit{X. Chen}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 4, 3007--3018 (2020; Zbl 1441.05170) Full Text: DOI
Hogben, Leslie Zero forcing and maximum nullity for hypergraphs. (English) Zbl 1441.05166 Discrete Appl. Math. 282, 122-135 (2020). Reviewer: Dominic van der Zypen (Trimstein) MSC: 05C65 05C69 PDF BibTeX XML Cite \textit{L. Hogben}, Discrete Appl. Math. 282, 122--135 (2020; Zbl 1441.05166) Full Text: DOI
Beaudouin-Lafon, Matthew; Crawford, Margaret; Chen, Serena; Karst, Nathaniel; Nielsen, Louise; Troxell, Denise Sakai On the zero blocking number of rectangular, cylindrical, and Möbius grids. (English) Zbl 1441.05069 Discrete Appl. Math. 282, 35-47 (2020). MSC: 05C15 05C69 PDF BibTeX XML Cite \textit{M. Beaudouin-Lafon} et al., Discrete Appl. Math. 282, 35--47 (2020; Zbl 1441.05069) Full Text: DOI
Gao, Zhipeng; Lei, Hui; Wang, Kui Rainbow domination numbers of generalized Petersen graphs. (English) Zbl 07208719 Appl. Math. Comput. 382, Article ID 125341, 6 p. (2020). MSC: 00 PDF BibTeX XML Cite \textit{Z. Gao} et al., Appl. Math. Comput. 382, Article ID 125341, 6 p. (2020; Zbl 07208719) Full Text: DOI
Goddard, Wayne; Henning, Michael A. Independent domination, colorings and the fractional idomatic number of a graph. (English) Zbl 07208718 Appl. Math. Comput. 382, Article ID 125340, 7 p. (2020). MSC: 00 PDF BibTeX XML Cite \textit{W. Goddard} and \textit{M. A. Henning}, Appl. Math. Comput. 382, Article ID 125340, 7 p. (2020; Zbl 07208718) Full Text: DOI
Shiue, Chin-Lin Distance restricted optimal pebbling in cycles. (English) Zbl 1443.05152 Discrete Appl. Math. 279, 125-133 (2020). Reviewer: Venkatakrishnan Yanamandram (Tiruchirappalli) MSC: 05C69 05C12 05C57 91A43 05C35 PDF BibTeX XML Cite \textit{C.-L. Shiue}, Discrete Appl. Math. 279, 125--133 (2020; Zbl 1443.05152) Full Text: DOI
Ghorbani, Modjtaba; Dehmer, Matthias; Maimani, Hamidreza; Maddah, Sheyda; Roozbayani, Maryam; Emmert-Streib, Frank The watching system as a generalization of identifying code. (English) Zbl 07200832 Appl. Math. Comput. 380, Article ID 125302, 6 p. (2020). MSC: 05C35 05C38 PDF BibTeX XML Cite \textit{M. Ghorbani} et al., Appl. Math. Comput. 380, Article ID 125302, 6 p. (2020; Zbl 07200832) Full Text: DOI
Yue, Jun; Zhu, Yiping; Wei, Meiqin The annihilation number and the total domination number of a tree-like graph. (English) Zbl 07200811 Appl. Math. Comput. 380, Article ID 125240, 6 p. (2020). MSC: 05C69 05C07 PDF BibTeX XML Cite \textit{J. Yue} et al., Appl. Math. Comput. 380, Article ID 125240, 6 p. (2020; Zbl 07200811) Full Text: DOI
Glasser, Abraham; Jacob, Bonnie; Lederman, Emily; Radziszowski, Stanisław Failed power domination on graphs. (English) Zbl 1439.05178 Australas. J. Comb. 76, Part 2, 232-247 (2020). MSC: 05C69 68Q17 PDF BibTeX XML Cite \textit{A. Glasser} et al., Australas. J. Comb. 76, Part 2, 232--247 (2020; Zbl 1439.05178) Full Text: Link
Bouchou, Ahmed; Blidia, Mostafa; Chellali, Mustapha Extremal graphs for a bound on the Roman domination number. (English) Zbl 1439.05175 Discuss. Math., Graph Theory 40, No. 3, 771-785 (2020). MSC: 05C69 05C35 PDF BibTeX XML Cite \textit{A. Bouchou} et al., Discuss. Math., Graph Theory 40, No. 3, 771--785 (2020; Zbl 1439.05175) Full Text: DOI
Hashemi, Ebrahim; Abdi, Mona; Alhevaz, Abdollah; Su, Huadong Domination number of graphs associated with rings. (English) Zbl 1437.16034 J. Algebra Appl. 19, No. 1, Article ID 2050009, 12 p. (2020). MSC: 16U99 05C69 16S36 PDF BibTeX XML Cite \textit{E. Hashemi} et al., J. Algebra Appl. 19, No. 1, Article ID 2050009, 12 p. (2020; Zbl 1437.16034) Full Text: DOI
Ghareghani, Narges; Peterin, Iztok; Sharifani, Pouyeh A note on bipartite graphs whose \([1,k]\)-domination number equal to their number of vertices. (English) Zbl 1437.05181 Opusc. Math. 40, No. 3, 375-382 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{N. Ghareghani} et al., Opusc. Math. 40, No. 3, 375--382 (2020; Zbl 1437.05181) Full Text: DOI
Yue, Jun; Zhang, Shizhen; Zhu, Yiping; Klavžar, Sandi; Shi, Yongtang The annihilation number does not bound the 2-domination number from the above. (English) Zbl 1437.05187 Discrete Math. 343, No. 6, Article ID 111707, 9 p. (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{J. Yue} et al., Discrete Math. 343, No. 6, Article ID 111707, 9 p. (2020; Zbl 1437.05187) Full Text: DOI
Xue, Jie; Liu, Ruifang; Yu, Guanglong; Shu, Jinlong Domination number and Laplacian eigenvalue of trees. (English) Zbl 1437.05186 Linear Algebra Appl. 592, 210-227 (2020). MSC: 05C69 05C50 05C05 05C12 PDF BibTeX XML Cite \textit{J. Xue} et al., Linear Algebra Appl. 592, 210--227 (2020; Zbl 1437.05186) Full Text: DOI
Jamil, Ferdinand P.; Malalay, Rolando P. On disjunctive domination in graphs. (English) Zbl 1436.05083 Quaest. Math. 43, No. 2, 149-168 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{F. P. Jamil} and \textit{R. P. Malalay}, Quaest. Math. 43, No. 2, 149--168 (2020; Zbl 1436.05083) Full Text: DOI
Carreño, José Juan; Martínez, José Antonio; Puertas, María Luz A general lower bound for the domination number of cylindrical graphs. (English) Zbl 1434.05080 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1671-1684 (2020). MSC: 05C38 05C76 05C85 PDF BibTeX XML Cite \textit{J. J. Carreño} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1671--1684 (2020; Zbl 1434.05080) Full Text: DOI
Hajian, Majid; Henning, Michael A.; Rad, Nader Jafari A classification of cactus graphs according to their total domination number. (English) Zbl 1434.05110 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1555-1568 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{M. Hajian} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1555--1568 (2020; Zbl 1434.05110) Full Text: DOI
Guo, Jia; Li, Zhuo; Lu, Mei Locating-total domination in grid graphs. (English) Zbl 1434.05109 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1195-1204 (2020). MSC: 05C69 05C76 05C50 15A18 PDF BibTeX XML Cite \textit{J. Guo} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1195--1204 (2020; Zbl 1434.05109) Full Text: DOI
Wang, Long Domination numbers and automorphisms of dual graphs over vector spaces. (English) Zbl 1433.05254 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 689-701 (2020). MSC: 05C69 05C12 05C25 20H20 PDF BibTeX XML Cite \textit{L. Wang}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 689--701 (2020; Zbl 1433.05254) Full Text: DOI
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 PDF BibTeX XML Cite \textit{R. Khoeilar} et al., Discrete Math. Algorithms Appl. 12, No. 1, Article ID 2050013, 12 p. (2020; Zbl 1433.05247) Full Text: DOI
Yi, Eunjeong Bounds on the sum of broadcast domination number and strong metric dimension of graphs. (English) Zbl 1433.05255 Discrete Math. Algorithms Appl. 12, No. 1, Article ID 2050010, 14 p. (2020). MSC: 05C69 05C12 05C40 PDF BibTeX XML Cite \textit{E. Yi}, Discrete Math. Algorithms Appl. 12, No. 1, Article ID 2050010, 14 p. (2020; Zbl 1433.05255) Full Text: DOI
Shahbazi, L.; Abdollahzadeh Ahangar, H.; Khoeilar, R.; Sheikholeslami, S. M. Signed total double Roman \(k\)-domination in graphs. (English) Zbl 1433.05250 Discrete Math. Algorithms Appl. 12, No. 1, Article ID 2050009, 18 p. (2020). MSC: 05C69 05C05 PDF BibTeX XML Cite \textit{L. Shahbazi} et al., Discrete Math. Algorithms Appl. 12, No. 1, Article ID 2050009, 18 p. (2020; Zbl 1433.05250) Full Text: DOI
Samodivkin, Vladimir On the edge geodetic and edge geodetic domination numbers of a graph. (English) Zbl 1449.05203 Commun. Comb. Optim. 5, No. 1, 41-54 (2020). MSC: 05C69 05C12 PDF BibTeX XML Cite \textit{V. Samodivkin}, Commun. Comb. Optim. 5, No. 1, 41--54 (2020; Zbl 1449.05203) Full Text: DOI
Volkmann, Lutz; Meierling, D. A note on the Roman domatic number of a digraph. (English) Zbl 1449.05205 Commun. Comb. Optim. 5, No. 1, 19-26 (2020). MSC: 05C69 05C20 PDF BibTeX XML Cite \textit{L. Volkmann} and \textit{D. Meierling}, Commun. Comb. Optim. 5, No. 1, 19--26 (2020; Zbl 1449.05205) Full Text: DOI
Bjorkman, Beth Infectious power domination of hypergraphs. (English) Zbl 1431.05110 Discrete Math. 343, No. 3, Article ID 111724, 12 p. (2020). MSC: 05C69 05C65 PDF BibTeX XML Cite \textit{B. Bjorkman}, Discrete Math. 343, No. 3, Article ID 111724, 12 p. (2020; Zbl 1431.05110) Full Text: DOI arXiv
Moradi, Ahmad; Mojdeh, Doost Ali; Sharifi, Omid Roman \(\{2\}\)-bondage number of a graph. (English) Zbl 1430.05089 Discuss. Math., Graph Theory 40, No. 1, 255-268 (2020). MSC: 05C69 68Q17 PDF BibTeX XML Cite \textit{A. Moradi} et al., Discuss. Math., Graph Theory 40, No. 1, 255--268 (2020; Zbl 1430.05089) Full Text: DOI
Amos, David; Asplund, John; Brimkov, Boris; Davila, Randy The Slater and sub-\(k\)-domination number of a graph with applications to domination and \(k\)-domination. (English) Zbl 1430.05086 Discuss. Math., Graph Theory 40, No. 1, 209-225 (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{D. Amos} et al., Discuss. Math., Graph Theory 40, No. 1, 209--225 (2020; Zbl 1430.05086) Full Text: DOI
Wang, Kun; Ning, Wenjie; Lu, Mei Bounds on the locating-total domination number in trees. (English) Zbl 07148536 Discuss. Math., Graph Theory 40, No. 1, 25-34 (2020). MSC: 05C69 05C05 PDF BibTeX XML Cite \textit{K. Wang} et al., Discuss. Math., Graph Theory 40, No. 1, 25--34 (2020; Zbl 07148536) Full Text: DOI
Rajakumari, P.; Bibi, K. Ameenal The blast domination in Mycielski’s graph of graphs and zero divisor graphs. (English) Zbl 07292205 South East Asian J. Math. Math. Sci. 15, No. 3, 141-152 (2019). MSC: 05C76 05C69 PDF BibTeX XML Cite \textit{P. Rajakumari} and \textit{K. A. Bibi}, South East Asian J. Math. Math. Sci. 15, No. 3, 141--152 (2019; Zbl 07292205) Full Text: Link
Mtarneh, S.; Hasni, R.; Akhbari, M. H.; Movahedi, F. Some domination parameters in generalized Jahangir graph \(J_{n,m}\). (English) Zbl 07278916 Malays. J. Math. Sci. 13, Spec. Iss.: Conference on Mathematics, Informatics and Statistics (CMIS2018), 113-121 (2019). MSC: 05C69 05C40 PDF BibTeX XML Cite \textit{S. Mtarneh} et al., Malays. J. Math. Sci. 13, 113--121 (2019; Zbl 07278916) Full Text: Link
Maimani, Hamidreza; Koushki, Zeinab On the double bondage number of graphs products. (English) Zbl 07276671 Trans. Comb. 8, No. 1, 51-59 (2019). MSC: 05C69 PDF BibTeX XML Cite \textit{H. Maimani} and \textit{Z. Koushki}, Trans. Comb. 8, No. 1, 51--59 (2019; Zbl 07276671) Full Text: DOI
Volkmann, L. The signed total Roman domatic number of a digraph. (English) Zbl 1452.05076 J. Comb. Math. Comb. Comput. 110, 205-216 (2019). MSC: 05C20 05C69 PDF BibTeX XML Cite \textit{L. Volkmann}, J. Comb. Math. Comb. Comput. 110, 205--216 (2019; Zbl 1452.05076)
Aytaç, Aysun; Turach, Tufan On the domination, strong and weak domination in transformation graph \(G^{xy-}\). (English) Zbl 1452.05118 Util. Math. 113, 181-190 (2019). MSC: 05C69 05C40 90B18 PDF BibTeX XML Cite \textit{A. Aytaç} and \textit{T. Turach}, Util. Math. 113, 181--190 (2019; Zbl 1452.05118)
Muthuselvi, A.; Arumugam, S. On majority total domination in graphs. (English) Zbl 1452.05123 Util. Math. 113, 159-168 (2019). MSC: 05C69 PDF BibTeX XML Cite \textit{A. Muthuselvi} and \textit{S. Arumugam}, Util. Math. 113, 159--168 (2019; Zbl 1452.05123)
Wang, Tao; Wu, Baoyindureng Domination in transformation graph \(G^{xy-}\). (English) Zbl 1452.05133 Util. Math. 113, 41-50 (2019). MSC: 05C69 PDF BibTeX XML Cite \textit{T. Wang} and \textit{B. Wu}, Util. Math. 113, 41--50 (2019; Zbl 1452.05133)
Ghameshlou, Arezoo N.; Golmohammadi, Hamidreza; Moghaddam, S. M. Hosseini; Volkmann, Lutz Roman \(k\)-domination number upon vertex and edge removal. (English) Zbl 1452.05120 Util. Math. 112, 225-234 (2019). MSC: 05C69 PDF BibTeX XML Cite \textit{A. N. Ghameshlou} et al., Util. Math. 112, 225--234 (2019; Zbl 1452.05120)
Li, Rao Domination number and Hamiltonicity of graphs. (English) Zbl 1452.05099 J. Comb. Math. Comb. Comput. 111, 279-282 (2019). MSC: 05C45 05C69 05C40 PDF BibTeX XML Cite \textit{R. Li}, J. Comb. Math. Comb. Comput. 111, 279--282 (2019; Zbl 1452.05099)
Volkmann, Lutz Italian domination in digraphs. (English) Zbl 1452.05132 J. Comb. Math. Comb. Comput. 111, 269-278 (2019). MSC: 05C69 05C20 PDF BibTeX XML Cite \textit{L. Volkmann}, J. Comb. Math. Comb. Comput. 111, 269--278 (2019; Zbl 1452.05132)
Dutton, Ronald Coloring and domination of vertices in triangle-free graphs. (English) Zbl 1452.05056 J. Comb. Math. Comb. Comput. 111, 137-143 (2019). MSC: 05C15 05C69 05C35 PDF BibTeX XML Cite \textit{R. Dutton}, J. Comb. Math. Comb. Comput. 111, 137--143 (2019; Zbl 1452.05056)
Rangarajan, R.; Alqesmah, Akram; Alwardi, Anwar Some parameters of the \(V_n\)-arithmetic graph. (English) Zbl 07273192 J. Int. Math. Virtual Inst. 9, No. 1, 139-153 (2019). MSC: 05C69 PDF BibTeX XML Cite \textit{R. Rangarajan} et al., J. Int. Math. Virtual Inst. 9, No. 1, 139--153 (2019; Zbl 07273192) Full Text: DOI
Kumar, Murthy Kamal; Ahmad, Saad Salman; Ramadoss, Giri Domination in Cartesian product of three graphs. (English) Zbl 07273163 Bull. Int. Math. Virtual Inst. 9, No. 2, 371-380 (2019). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{M. K. Kumar} et al., Bull. Int. Math. Virtual Inst. 9, No. 2, 371--380 (2019; Zbl 07273163) Full Text: DOI
Gudgeri, Manjula C.; Veeragoudar, Jaishri B.; Sangolli, Pallavi Domination and total domination number of block-transformation graph \(G^{101}\). (English) Zbl 07273151 Bull. Int. Math. Virtual Inst. 9, No. 2, 255-261 (2019). MSC: 05C69 PDF BibTeX XML Cite \textit{M. C. Gudgeri} et al., Bull. Int. Math. Virtual Inst. 9, No. 2, 255--261 (2019; Zbl 07273151) Full Text: DOI