Dalal, Sandeep; Kumar, Jitender; Singh, Siddharth On the clique number and independence number of the cyclic graph of a semigroup. (English) Zbl 07797229 J. Algebra Appl. 23, No. 5, Article ID 2450101, 16 p. (2024). MSC: 05C25 05C69 20M05 PDFBibTeX XMLCite \textit{S. Dalal} et al., J. Algebra Appl. 23, No. 5, Article ID 2450101, 16 p. (2024; Zbl 07797229) Full Text: DOI
Ali, Fawad; Rather, Bilal A.; Naeem, Muhammad; Wang, Wei Degree and distance based topological descriptors of power graphs of finite non-abelian groups. (English) Zbl 07785857 Discrete Appl. Math. 345, 62-76 (2024). MSC: 05C09 05C50 05C07 15A27 PDFBibTeX XMLCite \textit{F. Ali} et al., Discrete Appl. Math. 345, 62--76 (2024; Zbl 07785857) Full Text: DOI
Brachter, Jendrik; Kaja, Eda On groups with chordal power graph, including a classification in the case of finite simple groups. (English) Zbl 07784772 J. Algebr. Comb. 58, No. 4, 1095-1124 (2023). MSC: 05C25 05C38 05C35 20D60 20D05 PDFBibTeX XMLCite \textit{J. Brachter} and \textit{E. Kaja}, J. Algebr. Comb. 58, No. 4, 1095--1124 (2023; Zbl 07784772) Full Text: DOI arXiv OA License
Khosravi, Bahman Cayley graphs of groupoids and generalized fat-trees. (English) Zbl 1527.05089 Indian J. Pure Appl. Math. 54, No. 4, 1125-1131 (2023). MSC: 05C25 20N02 PDFBibTeX XMLCite \textit{B. Khosravi}, Indian J. Pure Appl. Math. 54, No. 4, 1125--1131 (2023; Zbl 1527.05089) Full Text: DOI
Jafari, Sayyed Heidar; Zahirović, Samir Power graphs of all nilpotent groups. (English) Zbl 1525.05065 J. Algebr. Comb. 58, No. 3, 611-622 (2023). MSC: 05C20 05C25 20D60 20D15 PDFBibTeX XMLCite \textit{S. H. Jafari} and \textit{S. Zahirović}, J. Algebr. Comb. 58, No. 3, 611--622 (2023; Zbl 1525.05065) Full Text: DOI arXiv
Kumari, Usha; Yadav, Renu; Sehgal, Amit; Mehra, Seema The extreme vertices of the power graph of group \(S_n\). (English) Zbl 1521.05065 J. Appl. Math. Comput. 69, No. 5, 3835-3849 (2023). MSC: 05C25 05C35 20B30 PDFBibTeX XMLCite \textit{U. Kumari} et al., J. Appl. Math. Comput. 69, No. 5, 3835--3849 (2023; Zbl 1521.05065) Full Text: DOI
Banerjee, Subarsha; Adhikari, Avishek On spectra of power graphs of finite cyclic and dihedral groups. (English) Zbl 1519.05146 Rocky Mt. J. Math. 53, No. 2, 341-356 (2023). MSC: 05C50 05C25 05C40 05C12 PDFBibTeX XMLCite \textit{S. Banerjee} and \textit{A. Adhikari}, Rocky Mt. J. Math. 53, No. 2, 341--356 (2023; Zbl 1519.05146) Full Text: DOI Link
Kumar, Ajay; Selvaganesh, Lavanya; Tamizh Chelvam, T. Connectivity of superpower graphs of some non-abelian finite groups. (English) Zbl 1516.05089 Discrete Math. Algorithms Appl. 15, No. 4, Article ID 2250108, 19 p. (2023). MSC: 05C25 05C40 05C45 05C75 20D60 PDFBibTeX XMLCite \textit{A. Kumar} et al., Discrete Math. Algorithms Appl. 15, No. 4, Article ID 2250108, 19 p. (2023; Zbl 1516.05089) Full Text: DOI
Rather, Bilal A.; Pirzada, S.; Chishti, T. A.; Alghamdi, Ahmad M. On normalized Laplacian eigenvalues of power graphs associated to finite cyclic groups. (English) Zbl 1516.05133 Discrete Math. Algorithms Appl. 15, No. 2, Article ID 2250070, 23 p. (2023). MSC: 05C50 05C25 15A18 PDFBibTeX XMLCite \textit{B. A. Rather} et al., Discrete Math. Algorithms Appl. 15, No. 2, Article ID 2250070, 23 p. (2023; Zbl 1516.05133) Full Text: DOI arXiv
Brachter, Jendrik; Kaja, Eda Classification of non-solvable groups whose power graph is a cograph. (English) Zbl 1520.20031 J. Group Theory 26, No. 4, 851-872 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20D05 20D60 05C25 PDFBibTeX XMLCite \textit{J. Brachter} and \textit{E. Kaja}, J. Group Theory 26, No. 4, 851--872 (2023; Zbl 1520.20031) Full Text: DOI arXiv
Rather, Bilal Ahmad; Pirzada, Shariefuddin; Zhou, Guo Fei On distance Laplacian spectra of certain finite groups. (English) Zbl 1515.05118 Acta Math. Sin., Engl. Ser. 39, No. 4, 603-617 (2023). MSC: 05C50 05C12 05C25 15A18 PDFBibTeX XMLCite \textit{B. A. Rather} et al., Acta Math. Sin., Engl. Ser. 39, No. 4, 603--617 (2023; Zbl 1515.05118) Full Text: DOI
Doostabadi, Alireza; Hashemi, Mohammad Ali; Yaghoobian, Maysam On the power graphs of finite groups and Hamilton cycle. (English) Zbl 1524.05134 Algebr. Struct. Appl. 10, No. 1, 73-85 (2023). MSC: 05C25 05C45 05C76 PDFBibTeX XMLCite \textit{A. Doostabadi} et al., Algebr. Struct. Appl. 10, No. 1, 73--85 (2023; Zbl 1524.05134) Full Text: DOI
Mukherjee, Promit; Mukherjee, Rajlaxmi; Sardar, Sujit Kumar Action graph of a semigroup act & its functorial connection. (English) Zbl 1508.05070 Categ. Gen. Algebr. Struct. Appl. 18, No. 1, 43-80 (2023). MSC: 05C20 16W22 18A22 20M05 20M30 PDFBibTeX XMLCite \textit{P. Mukherjee} et al., Categ. Gen. Algebr. Struct. Appl. 18, No. 1, 43--80 (2023; Zbl 1508.05070) Full Text: DOI
Anitha, T.; Rajkumar, R. Prime index elements graph of a group. (English) Zbl 1520.05046 Commun. Algebra 51, No. 3, 1250-1263 (2023). MSC: 05C25 05C20 05C17 20D08 20D05 PDFBibTeX XMLCite \textit{T. Anitha} and \textit{R. Rajkumar}, Commun. Algebra 51, No. 3, 1250--1263 (2023; Zbl 1520.05046) Full Text: DOI
Cameron, Peter J.; Phan, Veronica Enhanced power graphs are weakly perfect. (English) Zbl 1506.05088 Australas. J. Comb. 85, Part 1, 100-105 (2023). MSC: 05C25 05C15 PDFBibTeX XMLCite \textit{P. J. Cameron} and \textit{V. Phan}, Australas. J. Comb. 85, Part 1, 100--105 (2023; Zbl 1506.05088) Full Text: arXiv Link
Banerjee, Subarsha Distance Laplacian spectra of various graph operations and its application to graphs on algebraic structures. (English) Zbl 1508.05101 J. Algebra Appl. 22, No. 1, Article ID 2350022, 26 p. (2023). Reviewer: Peter Kostolányi (Bratislava) MSC: 05C50 05C76 05C25 PDFBibTeX XMLCite \textit{S. Banerjee}, J. Algebra Appl. 22, No. 1, Article ID 2350022, 26 p. (2023; Zbl 1508.05101) Full Text: DOI
Dalal, Sandeep; Kumar, Jitender; Singh, Siddharth On the connectivity and equality of some graphs on finite semigroups. (English) Zbl 1510.05104 Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 25, 20 p. (2023). Reviewer: Ali Reza Moghaddamfar (Tehran) MSC: 05C25 PDFBibTeX XMLCite \textit{S. Dalal} et al., Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 25, 20 p. (2023; Zbl 1510.05104) Full Text: DOI
Malek-Mohammadi, Nasrin; Ashrafi, Ali Reza Normal subgroup based power graph of finite groups. (English) Zbl 1527.05090 Ric. Mat. 71, No. 2, 549-559 (2022). MSC: 05C25 05C31 05E30 20D60 PDFBibTeX XMLCite \textit{N. Malek-Mohammadi} and \textit{A. R. Ashrafi}, Ric. Mat. 71, No. 2, 549--559 (2022; Zbl 1527.05090) Full Text: DOI
Ma, Xuanlong; Su, Huadong On the order supergraph of the power graph of a finite group. (English) Zbl 07771815 Ric. Mat. 71, No. 2, 381-390 (2022). Reviewer: David Dolžan (Ljubljana) MSC: 05C25 05C69 PDFBibTeX XMLCite \textit{X. Ma} and \textit{H. Su}, Ric. Mat. 71, No. 2, 381--390 (2022; Zbl 07771815) Full Text: DOI
Adhikari, Avishek; Banerjee, Subarsha Prime coprime graph of a finite group. (English) Zbl 1516.05083 Novi Sad J. Math. 52, No. 2, 41-59 (2022). MSC: 05C25 05C50 20D60 PDFBibTeX XMLCite \textit{A. Adhikari} and \textit{S. Banerjee}, Novi Sad J. Math. 52, No. 2, 41--59 (2022; Zbl 1516.05083) Full Text: DOI
Ali, Fawad; Fatima, Saba; Wang, Wei On the power graphs of certain finite groups. (English) Zbl 1511.05091 Linear Multilinear Algebra 70, No. 19, 3803-3817 (2022). MSC: 05C25 05C50 05C07 05C12 PDFBibTeX XMLCite \textit{F. Ali} et al., Linear Multilinear Algebra 70, No. 19, 3803--3817 (2022; Zbl 1511.05091) Full Text: DOI
Murashka, Viachaslau I. \(N\)-critical graph of finite groups. (English) Zbl 1509.20021 Asian-Eur. J. Math. 15, No. 9, Article ID 2250163, 11 p. (2022). MSC: 20D10 05C25 20D20 20D60 PDFBibTeX XMLCite \textit{V. I. Murashka}, Asian-Eur. J. Math. 15, No. 9, Article ID 2250163, 11 p. (2022; Zbl 1509.20021) Full Text: DOI
Sehgal, Amit; Takshak, Neeraj; Maan, Pradeep; Malik, Archana Graceful labeling of power graph of group \(Z_2^{k-1}\times Z_4\). (English) Zbl 1504.05133 Asian-Eur. J. Math. 15, No. 7, Article ID 2250121, 7 p. (2022). MSC: 05C25 05C78 PDFBibTeX XMLCite \textit{A. Sehgal} et al., Asian-Eur. J. Math. 15, No. 7, Article ID 2250121, 7 p. (2022; Zbl 1504.05133) Full Text: DOI
Bera, Sudip; Dey, Hiranya Kishore On the proper enhanced power graphs of finite nilpotent groups. (English) Zbl 1510.20019 J. Group Theory 25, No. 6, 1109-1131 (2022). Reviewer: Ali Reza Moghaddamfar (Tehran) MSC: 20D15 05C25 20D60 PDFBibTeX XMLCite \textit{S. Bera} and \textit{H. K. Dey}, J. Group Theory 25, No. 6, 1109--1131 (2022; Zbl 1510.20019) Full Text: DOI arXiv
Rather, Bilal A.; Pirzada, Shariefuddin; Naikoo, Tariq A. On distance signless Laplacian spectra of power graphs of the integer modulo group. (English) Zbl 1497.05162 Art Discrete Appl. Math. 5, No. 2, Paper No. P2.09, 10 p. (2022). MSC: 05C50 05C25 15A18 PDFBibTeX XMLCite \textit{B. A. Rather} et al., Art Discrete Appl. Math. 5, No. 2, Paper No. P2.09, 10 p. (2022; Zbl 1497.05162) Full Text: DOI
Doostabadi, Alireza; Yaghoobian, Maysam Hamiltonian cycle in the power graph of direct product two \(p\)-groups prime exponents. (English) Zbl 1495.05126 Casp. J. Math. Sci. 11, No. 1, 181-190 (2022). MSC: 05C25 05C45 05C76 PDFBibTeX XMLCite \textit{A. Doostabadi} and \textit{M. Yaghoobian}, Casp. J. Math. Sci. 11, No. 1, 181--190 (2022; Zbl 1495.05126) Full Text: DOI
Cameron, Peter J. Graphs defined on groups. (English) Zbl 1496.05070 Int. J. Group Theory 11, No. 2, 53-107 (2022). MSC: 05C25 20D60 PDFBibTeX XMLCite \textit{P. J. Cameron}, Int. J. Group Theory 11, No. 2, 53--107 (2022; Zbl 1496.05070) Full Text: DOI arXiv
Bera, Sudip Line graph characterization of power graphs of finite nilpotent groups. (English) Zbl 1514.20084 Commun. Algebra 50, No. 11, 4652-4668 (2022). MSC: 20D60 20D15 20F18 05C76 05C25 PDFBibTeX XMLCite \textit{S. Bera}, Commun. Algebra 50, No. 11, 4652--4668 (2022; Zbl 1514.20084) Full Text: DOI arXiv
Ma, Xuanlong; Kelarev, Andrei; Lin, Yuqing; Wang, Kaishun A survey on enhanced power graphs of finite groups. (English) Zbl 1487.05119 Electron. J. Graph Theory Appl. 10, No. 1, 89-111 (2022). MSC: 05C25 05C38 05C40 05C60 05C12 20D60 PDFBibTeX XMLCite \textit{X. Ma} et al., Electron. J. Graph Theory Appl. 10, No. 1, 89--111 (2022; Zbl 1487.05119) Full Text: DOI
Zahirović, Samir The power graph of a torsion-free group of nilpotency class 2. (English) Zbl 1489.05072 J. Algebr. Comb. 55, No. 3, 715-727 (2022). MSC: 05C25 05C20 05C60 20D60 PDFBibTeX XMLCite \textit{S. Zahirović}, J. Algebr. Comb. 55, No. 3, 715--727 (2022; Zbl 1489.05072) Full Text: DOI arXiv
Ilić-Georgijević, Emil On the connected power graphs of semigroups of homogeneous elements of graded rings. (English) Zbl 1487.05117 Mediterr. J. Math. 19, No. 3, Paper No. 119, 14 p. (2022). MSC: 05C25 05C40 16W50 PDFBibTeX XMLCite \textit{E. Ilić-Georgijević}, Mediterr. J. Math. 19, No. 3, Paper No. 119, 14 p. (2022; Zbl 1487.05117) Full Text: DOI
Arreola-Bautista, Luis D.; Reyna, Gerardo; Romero-Valencia, Jesús; Sigarreta, José M. Note on structural properties of graphs. (English) Zbl 1485.05155 Open Math. 20, 16-23 (2022). MSC: 05C75 PDFBibTeX XMLCite \textit{L. D. Arreola-Bautista} et al., Open Math. 20, 16--23 (2022; Zbl 1485.05155) Full Text: DOI
Singh, Shubh N. Laplacian spectra of power graphs of certain prime-power abelian groups. (English) Zbl 1485.05076 Asian-Eur. J. Math. 15, No. 2, Article ID 2250026, 12 p. (2022). MSC: 05C25 05C50 20K01 20D60 PDFBibTeX XMLCite \textit{S. N. Singh}, Asian-Eur. J. Math. 15, No. 2, Article ID 2250026, 12 p. (2022; Zbl 1485.05076) Full Text: DOI
Cameron, Peter J.; Manna, Pallabi; Mehatari, Ranjit On finite groups whose power graph is a cograph. (English) Zbl 1478.05069 J. Algebra 591, 59-74 (2022). MSC: 05C25 05C76 20D05 20D06 20D60 PDFBibTeX XMLCite \textit{P. J. Cameron} et al., J. Algebra 591, 59--74 (2022; Zbl 1478.05069) Full Text: DOI arXiv
Li, Huani; Ma, Xuanlong; Fu, Ruiqin Finite groups whose intersection power graphs are toroidal and projective-planar. (English) Zbl 1482.05148 Open Math. 19, 850-862 (2021). MSC: 05C25 05C10 20D60 PDFBibTeX XMLCite \textit{H. Li} et al., Open Math. 19, 850--862 (2021; Zbl 1482.05148) Full Text: DOI
Kumar, Ajay; Selvaganesh, Lavanya; Cameron, Peter J.; Chelvam, T. Tamizh Recent developments on the power graph of finite groups – a survey. (English) Zbl 1476.05071 AKCE Int. J. Graphs Comb. 18, No. 2, 65-94 (2021). MSC: 05C25 05C40 05C45 05C78 20D60 PDFBibTeX XMLCite \textit{A. Kumar} et al., AKCE Int. J. Graphs Comb. 18, No. 2, 65--94 (2021; Zbl 1476.05071) Full Text: DOI
Chen, X. Y.; Moghaddamfar, A. R.; Zohourattar, M. Some properties of various graphs associated with finite groups. (English) Zbl 1485.05075 Algebra Discrete Math. 31, No. 2, 195-211 (2021). Reviewer: T. Tamizh Chelvam (Tirunelveli) MSC: 05C25 20D60 20D05 20D06 PDFBibTeX XMLCite \textit{X. Y. Chen} et al., Algebra Discrete Math. 31, No. 2, 195--211 (2021; Zbl 1485.05075) Full Text: DOI arXiv
Zahirović, Samir The power graph of a torsion-free group determines the directed power graph. (English) Zbl 1475.05076 Discrete Appl. Math. 305, 109-118 (2021). MSC: 05C20 05C60 20K15 PDFBibTeX XMLCite \textit{S. Zahirović}, Discrete Appl. Math. 305, 109--118 (2021; Zbl 1475.05076) Full Text: DOI arXiv
Hamzeh, Asma On the automorphisms group of finite power graphs. (English) Zbl 1488.05233 Facta Univ., Ser. Math. Inf. 36, No. 1, 119-124 (2021). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{A. Hamzeh}, Facta Univ., Ser. Math. Inf. 36, No. 1, 119--124 (2021; Zbl 1488.05233) Full Text: DOI
Rajkumar, R.; Anitha, T. Laplacian spectrum of reduced power graph of certain finite groups. (English) Zbl 1471.05064 Linear Multilinear Algebra 69, No. 9, 1716-1733 (2021). Reviewer: Rosário Fernandes (Lisboa) MSC: 05C50 PDFBibTeX XMLCite \textit{R. Rajkumar} and \textit{T. Anitha}, Linear Multilinear Algebra 69, No. 9, 1716--1733 (2021; Zbl 1471.05064) Full Text: DOI
Banerjee, Subarsha; Adhikari, Avishek On spectra and spectral radius of signless Laplacian of power graphs of some finite groups. (English) Zbl 1465.05075 Asian-Eur. J. Math. 14, No. 6, Article ID 2150090, 21 p. (2021). MSC: 05C25 05C50 PDFBibTeX XMLCite \textit{S. Banerjee} and \textit{A. Adhikari}, Asian-Eur. J. Math. 14, No. 6, Article ID 2150090, 21 p. (2021; Zbl 1465.05075) Full Text: DOI
Ma, Xuanlong; Feng, Min; Wang, Kaishun Lambda number of the power graph of a finite group. (English) Zbl 1467.05116 J. Algebr. Comb. 53, No. 3, 743-754 (2021). MSC: 05C25 05C78 20D60 PDFBibTeX XMLCite \textit{X. Ma} et al., J. Algebr. Comb. 53, No. 3, 743--754 (2021; Zbl 1467.05116) Full Text: DOI arXiv
Manna, Pallabi; Cameron, Peter J.; Mehatari, Ranjit Forbidden subgraphs of power graphs. (English) Zbl 1467.05115 Electron. J. Comb. 28, No. 3, Research Paper P3.4, 14 p. (2021). MSC: 05C25 05C60 05C17 PDFBibTeX XMLCite \textit{P. Manna} et al., Electron. J. Comb. 28, No. 3, Research Paper P3.4, 14 p. (2021; Zbl 1467.05115) Full Text: DOI arXiv
Panda, Ramesh Prasad; Patra, Kamal Lochan; Sahoo, Binod Kumar On the minimum degree of the power graph of a finite cyclic group. (English) Zbl 1464.05183 J. Algebra Appl. 20, No. 3, Article ID 2150044, 18 p. (2021). MSC: 05C25 05C07 05C40 05C35 20D60 PDFBibTeX XMLCite \textit{R. P. Panda} et al., J. Algebra Appl. 20, No. 3, Article ID 2150044, 18 p. (2021; Zbl 1464.05183) Full Text: DOI arXiv
Ma, Xuanlong Proper connection of power graphs of finite groups. (English) Zbl 1464.05182 J. Algebra Appl. 20, No. 3, Article ID 2150033, 14 p. (2021). MSC: 05C25 05C15 20D60 PDFBibTeX XMLCite \textit{X. Ma}, J. Algebra Appl. 20, No. 3, Article ID 2150033, 14 p. (2021; Zbl 1464.05182) Full Text: DOI
Dalal, Sandeep; Kumar, Jitender On enhanced power graphs of certain groups. (English) Zbl 1458.05102 Discrete Math. Algorithms Appl. 13, No. 1, Article ID 2050099, 18 p. (2021). MSC: 05C25 PDFBibTeX XMLCite \textit{S. Dalal} and \textit{J. Kumar}, Discrete Math. Algorithms Appl. 13, No. 1, Article ID 2050099, 18 p. (2021; Zbl 1458.05102) Full Text: DOI
Panda, Ramesh Prasad; Dalal, Sandeep; Kumar, Jitender On the enhanced power graph of a finite group. (English) Zbl 1460.05085 Commun. Algebra 49, No. 4, 1697-1716 (2021). MSC: 05C25 05C69 20D60 PDFBibTeX XMLCite \textit{R. P. Panda} et al., Commun. Algebra 49, No. 4, 1697--1716 (2021; Zbl 1460.05085) Full Text: DOI arXiv
Chattopadhyay, Sriparna; Patra, Kamal Lochan; Sahoo, Binod Kumar Minimal cut-sets in the power graphs of certain finite non-cyclic groups. (English) Zbl 1460.05082 Commun. Algebra 49, No. 3, 1195-1211 (2021). MSC: 05C25 05C40 20D15 20K01 PDFBibTeX XMLCite \textit{S. Chattopadhyay} et al., Commun. Algebra 49, No. 3, 1195--1211 (2021; Zbl 1460.05082) Full Text: DOI arXiv
Bera, Sudip; Dey, Hiranya Kishore; Mukherjee, Sajal Kumar On the connectivity of enhanced power graphs of finite groups. (English) Zbl 1492.05076 Graphs Comb. 37, No. 2, 591-603 (2021). MSC: 05C40 05C25 20M14 PDFBibTeX XMLCite \textit{S. Bera} et al., Graphs Comb. 37, No. 2, 591--603 (2021; Zbl 1492.05076) Full Text: DOI arXiv
Banerjee, Subarsha; Adhikari, Avishek Signless Laplacian spectrum of power graphs of finite cyclic groups. (English) Zbl 1511.05127 AKCE Int. J. Graphs Comb. 17, No. 1, 356-366 (2020). MSC: 05C50 15A18 20D60 PDFBibTeX XMLCite \textit{S. Banerjee} and \textit{A. Adhikari}, AKCE Int. J. Graphs Comb. 17, No. 1, 356--366 (2020; Zbl 1511.05127) Full Text: DOI
Ma, X.; Su, H. Finite groups whose noncyclic graphs have positive genus. (English) Zbl 1474.05185 Acta Math. Hung. 162, No. 2, 618-632 (2020). Reviewer: Mirko Lepović (Kragujevac) MSC: 05C25 05C10 PDFBibTeX XMLCite \textit{X. Ma} and \textit{H. Su}, Acta Math. Hung. 162, No. 2, 618--632 (2020; Zbl 1474.05185) Full Text: DOI
Ma, Xuanlong Perfect codes in proper reduced power graphs of finite groups. (English) Zbl 1451.05108 Commun. Algebra 48, No. 9, 3881-3890 (2020). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05C25 05C69 94B99 PDFBibTeX XMLCite \textit{X. Ma}, Commun. Algebra 48, No. 9, 3881--3890 (2020; Zbl 1451.05108) Full Text: DOI
Shamsi, Khadijeh; Ameri, Reza; Mirvakili, Saeed Cayley graph associated to a semihypergroup. (English) Zbl 1463.20105 Algebr. Struct. Appl. 7, No. 2, 29-49 (2020). MSC: 20N20 05C25 PDFBibTeX XMLCite \textit{K. Shamsi} et al., Algebr. Struct. Appl. 7, No. 2, 29--49 (2020; Zbl 1463.20105)
Anitha, T.; Rajkumar, R. Characterization of groups with planar, toroidal or projective planar (proper) reduced power graphs. (English) Zbl 1443.05089 J. Algebra Appl. 19, No. 5, Article ID 2050099, 16 p. (2020). MSC: 05C25 05C10 PDFBibTeX XMLCite \textit{T. Anitha} and \textit{R. Rajkumar}, J. Algebra Appl. 19, No. 5, Article ID 2050099, 16 p. (2020; Zbl 1443.05089) Full Text: DOI
Zahirović, Samir; Bošnjak, Ivica; Madarász, Rozália A study of enhanced power graphs of finite groups. (English) Zbl 1441.05111 J. Algebra Appl. 19, No. 4, Article ID 2050062, 20 p. (2020). MSC: 05C25 20D60 20B25 PDFBibTeX XMLCite \textit{S. Zahirović} et al., J. Algebra Appl. 19, No. 4, Article ID 2050062, 20 p. (2020; Zbl 1441.05111) Full Text: DOI arXiv
Chattopadhyay, Sriparna; Patra, Kamal Lochan; Sahoo, Binod Kumar Vertex connectivity of the power graph of a finite cyclic group. II. (English) Zbl 1439.05125 J. Algebra Appl. 19, No. 2, Article ID 2050040, 25 p. (2020); erratum ibid. 19, No. 2, Article ID 2092001, 2 p. (2020). MSC: 05C40 05C25 20K99 PDFBibTeX XMLCite \textit{S. Chattopadhyay} et al., J. Algebra Appl. 19, No. 2, Article ID 2050040, 25 p. (2020; Zbl 1439.05125) Full Text: DOI arXiv
Ma, Xuanlong; She, Yanhong The metric dimension of the enhanced power graph of a finite group. (English) Zbl 1437.05098 J. Algebra Appl. 19, No. 1, Article ID 2050020, 14 p. (2020). MSC: 05C25 05C69 PDFBibTeX XMLCite \textit{X. Ma} and \textit{Y. She}, J. Algebra Appl. 19, No. 1, Article ID 2050020, 14 p. (2020; Zbl 1437.05098) Full Text: DOI
Panda, Ramesh Prasad A combinatorial characterization of finite groups of prime exponent. (English) Zbl 1431.20013 Indag. Math., New Ser. 31, No. 1, 1-6 (2020). MSC: 20D60 05C25 05C40 PDFBibTeX XMLCite \textit{R. P. Panda}, Indag. Math., New Ser. 31, No. 1, 1--6 (2020; Zbl 1431.20013) Full Text: DOI arXiv
Abbas, Ghulam; Ali, Usman; Munir, Mobeen; Bokhary, Syed Ahtsham Ul Haq; Kang, Shin Min Power graphs and exchange property for resolving sets. (English) Zbl 1513.05054 Open Math. 17, 1303-1309 (2019). MSC: 05B35 05C12 PDFBibTeX XMLCite \textit{G. Abbas} et al., Open Math. 17, 1303--1309 (2019; Zbl 1513.05054) Full Text: DOI
Chattopadhyay, Sriparna; Patra, Kamal Lochan; Sahoo, Binod Kumar Vertex connectivity of the power graph of a finite cyclic group. (English) Zbl 1464.05175 Discrete Appl. Math. 266, 259-271 (2019). MSC: 05C25 05C40 PDFBibTeX XMLCite \textit{S. Chattopadhyay} et al., Discrete Appl. Math. 266, 259--271 (2019; Zbl 1464.05175) Full Text: DOI arXiv
Soleimani, Masoumeh; Naderi, Mohammad Hassan; Ashrafi, Ali Reza Tensor product of the power graphs of some finite rings. (English) Zbl 1488.05248 Facta Univ., Ser. Math. Inf. 34, No. 1, 101-122 (2019). MSC: 05C25 05C76 16P10 PDFBibTeX XMLCite \textit{M. Soleimani} et al., Facta Univ., Ser. Math. Inf. 34, No. 1, 101--122 (2019; Zbl 1488.05248) Full Text: DOI
Ma, Xuanlong; Walls, Gary L.; Wang, Kaishun Finite groups with star-free noncyclic graphs. (English) Zbl 1427.05104 Open Math. 17, 906-912 (2019). MSC: 05C25 20B05 PDFBibTeX XMLCite \textit{X. Ma} et al., Open Math. 17, 906--912 (2019; Zbl 1427.05104) Full Text: DOI arXiv
Mukherjee, Himadri Hamiltonian cycles of power graph of abelian groups. (English) Zbl 1463.05270 Afr. Mat. 30, No. 7-8, 1025-1040 (2019). MSC: 05C25 20K01 05C45 05C76 05C38 PDFBibTeX XMLCite \textit{H. Mukherjee}, Afr. Mat. 30, No. 7--8, 1025--1040 (2019; Zbl 1463.05270) Full Text: DOI arXiv
Chiaselotti, Giampiero; Gentile, T.; Infusino, F. Local dissymmetry on graphs and related algebraic structures. (English) Zbl 1423.05079 Int. J. Algebra Comput. 29, No. 8, 1499-1526 (2019). MSC: 05C25 05C65 20F28 20E34 PDFBibTeX XMLCite \textit{G. Chiaselotti} et al., Int. J. Algebra Comput. 29, No. 8, 1499--1526 (2019; Zbl 1423.05079) Full Text: DOI
Parsapour, A.; Ahmad Javaheri, K. The embedding of annihilating-ideal graphs associated to lattices in the projective plane. (English) Zbl 1418.05058 Bull. Malays. Math. Sci. Soc. (2) 42, No. 4, 1625-1638 (2019). MSC: 05C10 06A07 06B10 PDFBibTeX XMLCite \textit{A. Parsapour} and \textit{K. Ahmad Javaheri}, Bull. Malays. Math. Sci. Soc. (2) 42, No. 4, 1625--1638 (2019; Zbl 1418.05058) Full Text: DOI
Hamzeh, A.; Ashrafi, A. R. Some remarks on the order supergraph of the power graph of a finite group. (English) Zbl 1417.05097 Int. Electron. J. Algebra 26, 1-12 (2019). MSC: 05C25 05C50 05C40 PDFBibTeX XMLCite \textit{A. Hamzeh} and \textit{A. R. Ashrafi}, Int. Electron. J. Algebra 26, 1--12 (2019; Zbl 1417.05097) Full Text: Link
Nam, T. G.; Phuc, N. T. The structure of Leavitt path algebras and the invariant basis number property. (English) Zbl 1412.16020 J. Pure Appl. Algebra 223, No. 11, 4827-4856 (2019). MSC: 16S99 18G05 05C25 PDFBibTeX XMLCite \textit{T. G. Nam} and \textit{N. T. Phuc}, J. Pure Appl. Algebra 223, No. 11, 4827--4856 (2019; Zbl 1412.16020) Full Text: DOI
Chiaselotti, G.; Gentile, T.; Infusino, F. New perspectives of granular computing in relation geometry induced by pairings. (English) Zbl 07074946 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 65, No. 1, 57-94 (2019). MSC: 06A15 08A02 68P01 68P05 54E35 PDFBibTeX XMLCite \textit{G. Chiaselotti} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 65, No. 1, 57--94 (2019; Zbl 07074946) Full Text: DOI
Anitha, T.; Rajkumar, R. On the power graph and the reduced power graph of a finite group. (English) Zbl 1414.05137 Commun. Algebra 47, No. 8, 3329-3339 (2019). MSC: 05C25 20D05 20D06 20D08 PDFBibTeX XMLCite \textit{T. Anitha} and \textit{R. Rajkumar}, Commun. Algebra 47, No. 8, 3329--3339 (2019; Zbl 1414.05137) Full Text: DOI
Afkhami, M.; Bahrami, S.; Khashyarmanesh, K. The regular digraph associated to a poset. (English) Zbl 1414.05129 Bull. Malays. Math. Sci. Soc. (2) 42, No. 3, 995-1009 (2019). MSC: 05C20 05C10 06A07 PDFBibTeX XMLCite \textit{M. Afkhami} et al., Bull. Malays. Math. Sci. Soc. (2) 42, No. 3, 995--1009 (2019; Zbl 1414.05129) Full Text: DOI
Cameron, Peter J.; Guerra, Horacio; Jurina, Šimon The power graph of a torsion-free group. (English) Zbl 1410.05085 J. Algebr. Comb. 49, No. 1, 83-98 (2019). MSC: 05C25 05C60 20F99 PDFBibTeX XMLCite \textit{P. J. Cameron} et al., J. Algebr. Comb. 49, No. 1, 83--98 (2019; Zbl 1410.05085) Full Text: DOI arXiv
Ma, Xuanlong; Walls, Gary L.; Wang, Kaishun Power graphs of (non)orientable genus two. (English) Zbl 1411.05116 Commun. Algebra 47, No. 1, 276-288 (2019). MSC: 05C25 05C10 PDFBibTeX XMLCite \textit{X. Ma} et al., Commun. Algebra 47, No. 1, 276--288 (2019; Zbl 1411.05116) Full Text: DOI arXiv
Ghorbani, Modjtaba; Abbasi-Barfaraz, Fatemeh On the characteristic polynomial of power graphs. (English) Zbl 1499.22020 Filomat 32, No. 12, 4375-4387 (2018). MSC: 22E46 53C35 57S20 PDFBibTeX XMLCite \textit{M. Ghorbani} and \textit{F. Abbasi-Barfaraz}, Filomat 32, No. 12, 4375--4387 (2018; Zbl 1499.22020) Full Text: DOI
Hamzeh, Asma Signless and normalized Laplacian spectrums of the power graph and its supergraphs of certain finite groups. (English) Zbl 1451.05105 J. Indones. Math. Soc. 24, No. 1, 61-69 (2018). MSC: 05C25 05C50 PDFBibTeX XMLCite \textit{A. Hamzeh}, J. Indones. Math. Soc. 24, No. 1, 61--69 (2018; Zbl 1451.05105) Full Text: DOI
Hamzeh, Asma; Ashrafi, Ali Reza The order supergraph of the power graph of a finite group. (English) Zbl 1424.05135 Turk. J. Math. 42, No. 4, 1978-1989 (2018). MSC: 05C25 PDFBibTeX XMLCite \textit{A. Hamzeh} and \textit{A. R. Ashrafi}, Turk. J. Math. 42, No. 4, 1978--1989 (2018; Zbl 1424.05135) Full Text: DOI arXiv
Pourghobadi, Kobra; Jafari, Sayyed Heidar The diameter of power graphs of symmetric groups. (English) Zbl 1481.20007 J. Algebra Appl. 17, No. 12, Article ID 1850234, 11 p. (2018). MSC: 20B30 05C25 PDFBibTeX XMLCite \textit{K. Pourghobadi} and \textit{S. H. Jafari}, J. Algebra Appl. 17, No. 12, Article ID 1850234, 11 p. (2018; Zbl 1481.20007) Full Text: DOI
Panda, Ramesh Prasad; Krishna, K. V. On connectedness of power graphs of finite groups. (English) Zbl 1401.05140 J. Algebra Appl. 17, No. 10, Article ID 1850184, 20 p. (2018). MSC: 05C25 05C40 20D15 20K01 PDFBibTeX XMLCite \textit{R. P. Panda} and \textit{K. V. Krishna}, J. Algebra Appl. 17, No. 10, Article ID 1850184, 20 p. (2018; Zbl 1401.05140) Full Text: DOI arXiv
Chiaselotti, G.; Gentile, T.; Infusino, F. Pairings and related symmetry notions. (English) Zbl 1436.08001 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 64, No. 2, 285-322 (2018). Reviewer: Ivan Chajda (Přerov) MSC: 08A02 08A05 06A06 06A05 06A75 05C65 54A05 PDFBibTeX XMLCite \textit{G. Chiaselotti} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 64, No. 2, 285--322 (2018; Zbl 1436.08001) Full Text: DOI
Anitha, T.; Rajkumar, R.; Gagarin, Andrei The complement of proper power graphs of finite groups. (English) Zbl 1393.05142 Palest. J. Math. 7, No. 2, 579-597 (2018). MSC: 05C25 05C10 PDFBibTeX XMLCite \textit{T. Anitha} et al., Palest. J. Math. 7, No. 2, 579--597 (2018; Zbl 1393.05142) Full Text: arXiv Link
Bera, Sudip; Bhuniya, A. K. On enhanced power graphs of finite groups. (English) Zbl 1392.05053 J. Algebra Appl. 17, No. 8, Article ID 1850146, 8 p. (2018). MSC: 05C25 05C69 05C15 PDFBibTeX XMLCite \textit{S. Bera} and \textit{A. K. Bhuniya}, J. Algebra Appl. 17, No. 8, Article ID 1850146, 8 p. (2018; Zbl 1392.05053) Full Text: DOI
Prasad Panda, Ramesh; Krishna, K. V. On the minimum degree, edge-connectivity and connectivity of power graphs of finite groups. (English) Zbl 1390.05117 Commun. Algebra 46, No. 7, 3182-3197 (2018). MSC: 05C40 05C07 05C35 05C25 20D60 PDFBibTeX XMLCite \textit{R. Prasad Panda} and \textit{K. V. Krishna}, Commun. Algebra 46, No. 7, 3182--3197 (2018; Zbl 1390.05117) Full Text: DOI arXiv
Khosravi, Bahman On the Cayley graphs of completely simple semigroups. (English) Zbl 1390.05090 Bull. Malays. Math. Sci. Soc. (2) 41, No. 2, 741-749 (2018). MSC: 05C25 05C20 PDFBibTeX XMLCite \textit{B. Khosravi}, Bull. Malays. Math. Sci. Soc. (2) 41, No. 2, 741--749 (2018; Zbl 1390.05090) Full Text: DOI
Ma, Xuanlong; Feng, Min; Wang, Kaishun The strong metric dimension of the power graph of a finite group. (English) Zbl 1382.05023 Discrete Appl. Math. 239, 159-164 (2018). MSC: 05C12 05C99 PDFBibTeX XMLCite \textit{X. Ma} et al., Discrete Appl. Math. 239, 159--164 (2018; Zbl 1382.05023) Full Text: DOI arXiv
Ma, Xuanlong; Fu, Ruiqin; Lu, Xuefei On the independence number of the power graph of a finite group. (English) Zbl 1382.05053 Indag. Math., New Ser. 29, No. 2, 794-806 (2018). MSC: 05C69 20D05 PDFBibTeX XMLCite \textit{X. Ma} et al., Indag. Math., New Ser. 29, No. 2, 794--806 (2018; Zbl 1382.05053) Full Text: DOI
Chattopadhyay, Sriparna; Panigrahi, Pratima; Atik, Fouzul Spectral radius of power graphs on certain finite groups. (English) Zbl 1382.05042 Indag. Math., New Ser. 29, No. 2, 730-737 (2018). MSC: 05C50 05C12 20D05 PDFBibTeX XMLCite \textit{S. Chattopadhyay} et al., Indag. Math., New Ser. 29, No. 2, 730--737 (2018; Zbl 1382.05042) Full Text: DOI
Chattopadhyay, Sriparna; Panigrahi, Pratima Some structural properties of power graphs and \(k\)-power graphs of finite semigroups. (English) Zbl 1495.05125 J. Discrete Math. Sci. Cryptography 20, No. 5, 1101-1119 (2017). MSC: 05C25 PDFBibTeX XMLCite \textit{S. Chattopadhyay} and \textit{P. Panigrahi}, J. Discrete Math. Sci. Cryptography 20, No. 5, 1101--1119 (2017; Zbl 1495.05125) Full Text: DOI
Hamzeh, Asma; Ashrafi, Ali Reza Spectrum and \(L\)-spectrum of the power graph and its main supergraph for certain finite groups. (English) Zbl 1499.05362 Filomat 31, No. 16, 5323-5334 (2017). MSC: 05C50 05C31 05C25 PDFBibTeX XMLCite \textit{A. Hamzeh} and \textit{A. R. Ashrafi}, Filomat 31, No. 16, 5323--5334 (2017; Zbl 1499.05362) Full Text: DOI
Ashrafi, Ali Reza; Gholami, Ahmad; Mehranian, Zeinab Automorphism group of certain power graphs of finite groups. (English) Zbl 1467.05105 Electron. J. Graph Theory Appl. 5, No. 1, 70-82 (2017). MSC: 05C25 PDFBibTeX XMLCite \textit{A. R. Ashrafi} et al., Electron. J. Graph Theory Appl. 5, No. 1, 70--82 (2017; Zbl 1467.05105) Full Text: DOI
Chattopadhyay, Sriparna; Panigrahi, Pratima On sum of powers of the Laplacian eigenvalues of power graphs of certain finite groups. (English) Zbl 1383.05194 Sinha, Deepa (ed.) et al., International conference on current trends in graph theory and computation, CTGTC-2016, New Delhi, India, September 17–19, 2016. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 63, 137-143 (2017). MSC: 05C50 PDFBibTeX XMLCite \textit{S. Chattopadhyay} and \textit{P. Panigrahi}, Electron. Notes Discrete Math. 63, 137--143 (2017; Zbl 1383.05194) Full Text: DOI
Rajkumar, R.; Anitha, T. Reduced power graph of a group. (English) Zbl 1383.05159 Sinha, Deepa (ed.) et al., International conference on current trends in graph theory and computation, CTGTC-2016, New Delhi, India, September 17–19, 2016. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 63, 69-76 (2017). MSC: 05C25 PDFBibTeX XMLCite \textit{R. Rajkumar} and \textit{T. Anitha}, Electron. Notes Discrete Math. 63, 69--76 (2017; Zbl 1383.05159) Full Text: DOI
Ma, Xuanlong; Fu, Ruiqin; Lu, Xuefei; Guo, Mengxia; Zhao, Zhiqin Perfect codes in power graphs of finite groups. (English) Zbl 1386.05088 Open Math. 15, 1440-1449 (2017). MSC: 05C25 05C69 94B99 PDFBibTeX XMLCite \textit{X. Ma} et al., Open Math. 15, 1440--1449 (2017; Zbl 1386.05088) Full Text: DOI
Ma, Xuanlong; Feng, Min; Wang, Kaishun The power index of a graph. (English) Zbl 1386.05087 Graphs Comb. 33, No. 5, 1381-1391 (2017). MSC: 05C25 PDFBibTeX XMLCite \textit{X. Ma} et al., Graphs Comb. 33, No. 5, 1381--1391 (2017; Zbl 1386.05087) Full Text: DOI arXiv
Khosravi, Behnam The endomorphism monoids and automorphism groups of Cayley graphs of semigroups. (English) Zbl 1428.20057 Semigroup Forum 95, No. 1, 179-191 (2017). Reviewer: Ulrich Knauer (Oldenburg) MSC: 20M20 05C25 20M30 05C62 PDFBibTeX XMLCite \textit{B. Khosravi}, Semigroup Forum 95, No. 1, 179--191 (2017; Zbl 1428.20057) Full Text: DOI
Chiaselotti, Giampiero; Gentile, Tommaso; Infusino, Federico Simplicial complexes and closure systems induced by indistinguishability relations. (Complexes simpliciaux et systèmes de clôture induits par les relations d’indistinguabilité.) (English. French summary) Zbl 1371.05327 C. R., Math., Acad. Sci. Paris 355, No. 9, 991-1021 (2017). MSC: 05E45 05C10 05C65 PDFBibTeX XMLCite \textit{G. Chiaselotti} et al., C. R., Math., Acad. Sci. Paris 355, No. 9, 991--1021 (2017; Zbl 1371.05327) Full Text: DOI
Afkhami, Mojgan; Hamidizadeh, K.; Khashyarmanesh, K. On the generalization of Cayley graphs of commutative rings. (English) Zbl 1369.05100 Beitr. Algebra Geom. 58, No. 2, 395-404 (2017). MSC: 05C25 05C10 05E40 13A15 PDFBibTeX XMLCite \textit{M. Afkhami} et al., Beitr. Algebra Geom. 58, No. 2, 395--404 (2017; Zbl 1369.05100) Full Text: DOI
Bhuniya, A. K.; Bera, Sudip Normal subgroup based power graphs of a finite group. (English) Zbl 1368.05066 Commun. Algebra 45, No. 8, 3251-3259 (2017). MSC: 05C25 PDFBibTeX XMLCite \textit{A. K. Bhuniya} and \textit{S. Bera}, Commun. Algebra 45, No. 8, 3251--3259 (2017; Zbl 1368.05066) Full Text: DOI arXiv
Sakhdari, Seyed Mohammad; Khashyarmanesh, Kazem; Afkhami, Mojgan Annihilator graphs with four vertices. (English) Zbl 1422.20034 Semigroup Forum 94, No. 1, 139-166 (2017). MSC: 20M14 05C25 PDFBibTeX XMLCite \textit{S. M. Sakhdari} et al., Semigroup Forum 94, No. 1, 139--166 (2017; Zbl 1422.20034) Full Text: DOI
Parsapour, A.; Javaheri, Kh. Ahmad Projective zero divisor graphs of partially ordered sets. (English) Zbl 1366.05030 Afr. Mat. 28, No. 3-4, 575-593 (2017). MSC: 05C10 05C25 06A07 PDFBibTeX XMLCite \textit{A. Parsapour} and \textit{Kh. A. Javaheri}, Afr. Mat. 28, No. 3--4, 575--593 (2017; Zbl 1366.05030) Full Text: DOI
Wang, Shoufeng When is the Cayley graph of a semigroup isomorphic to the Cayley graph of a group. (English) Zbl 1399.05107 Math. Slovaca 67, No. 1, 33-40 (2017). Reviewer: Andrei Kelarev (Melbourne) MSC: 05C25 05C60 PDFBibTeX XMLCite \textit{S. Wang}, Math. Slovaca 67, No. 1, 33--40 (2017; Zbl 1399.05107) Full Text: DOI
Mehranian, Z.; Gholami, A.; Ashrafi, A. R. The spectra of power graphs of certain finite groups. (English) Zbl 1360.05078 Linear Multilinear Algebra 65, No. 5, 1003-1010 (2017). MSC: 05C25 05C50 PDFBibTeX XMLCite \textit{Z. Mehranian} et al., Linear Multilinear Algebra 65, No. 5, 1003--1010 (2017; Zbl 1360.05078) Full Text: DOI