Song, Xingkun Quantum state transfer on integral oriented circulant graphs. (English) Zbl 07764815 Appl. Math. Comput. 464, Article ID 128391, 11 p. (2024). MSC: 05C50 15A18 81P45 81P68 PDF BibTeX XML Cite \textit{X. Song}, Appl. Math. Comput. 464, Article ID 128391, 11 p. (2024; Zbl 07764815) Full Text: DOI arXiv
Song, Xingkun; Lin, Huiqiu State transfer on integral mixed circulant graphs. (English) Zbl 07756983 Discrete Math. 347, No. 1, Article ID 113727, 13 p. (2024). MSC: 05C50 15A18 PDF BibTeX XML Cite \textit{X. Song} and \textit{H. Lin}, Discrete Math. 347, No. 1, Article ID 113727, 13 p. (2024; Zbl 07756983) Full Text: DOI arXiv
El-Mesady, A.; Farahat, T.; El-Shanawany, R.; Romanov, A. Y.; Sukhov, A. M. The novel generally described graphs for cyclic orthogonal double covers of some circulants. (English) Zbl 07759395 Lobachevskii J. Math. 44, No. 7, 2638-2650 (2023). MSC: 05C82 05C40 05C76 05C70 PDF BibTeX XML Cite \textit{A. El-Mesady} et al., Lobachevskii J. Math. 44, No. 7, 2638--2650 (2023; Zbl 07759395) Full Text: DOI
Prajnanaswaroopa, Shantharam; Geetha, Jayabalan; Somasundaram, Kanagasabapathi Total, equitable and neighbor-sum distinguishing total colorings of some classes of circulant graphs. (English) Zbl 07746013 Bull. Inst. Comb. Appl. 99, 116-132 (2023). MSC: 05C15 05C25 05B15 68Q17 PDF BibTeX XML Cite \textit{S. Prajnanaswaroopa} et al., Bull. Inst. Comb. Appl. 99, 116--132 (2023; Zbl 07746013) Full Text: Link
Fernández, Blas; Maleki, Roghayeh; Miklavič, Štefko; Razafimahatratra, Andriaherimanana Sarobidy On closed distance magic circulants of valency up to 5. (English) Zbl 07745145 Discrete Math. 346, No. 12, Article ID 113581, 12 p. (2023). MSC: 05C78 15A18 05C25 PDF BibTeX XML Cite \textit{B. Fernández} et al., Discrete Math. 346, No. 12, Article ID 113581, 12 p. (2023; Zbl 07745145) Full Text: DOI arXiv
Faria, Luerbio; Nigro, Mauro; Preissmann, Myriam; Sasaki, Diana Results about the total chromatic number and the conformability of some families of circulant graphs. (English) Zbl 1521.05042 Discrete Appl. Math. 340, 123-133 (2023). Reviewer: David B. Penman (Colchester) MSC: 05C15 05C75 PDF BibTeX XML Cite \textit{L. Faria} et al., Discrete Appl. Math. 340, 123--133 (2023; Zbl 1521.05042) Full Text: DOI
Cervantes, Jonathan; Krebs, Mike Chromatic numbers of Cayley graphs of abelian groups: a matrix method. (English) Zbl 07734088 Linear Algebra Appl. 676, 277-295 (2023). MSC: 05C15 05C25 PDF BibTeX XML Cite \textit{J. Cervantes} and \textit{M. Krebs}, Linear Algebra Appl. 676, 277--295 (2023; Zbl 07734088) Full Text: DOI arXiv
Mönius, Katja; So, Wasin How many non-isospectral integral circulant graphs are there? (English) Zbl 1519.05125 Australas. J. Comb. 86, Part 2, 320-335 (2023). MSC: 05C30 05C50 PDF BibTeX XML Cite \textit{K. Mönius} and \textit{W. So}, Australas. J. Comb. 86, Part 2, 320--335 (2023; Zbl 1519.05125) Full Text: Link
Qin, Zhengxin; Xu, Xinping The spectrum of a line graph of a Cayley graph over an abelian group. (English) Zbl 1519.05160 Linear Multilinear Algebra 71, No. 13, 2204-2211 (2023). MSC: 05C50 05C25 05C76 PDF BibTeX XML Cite \textit{Z. Qin} and \textit{X. Xu}, Linear Multilinear Algebra 71, No. 13, 2204--2211 (2023; Zbl 1519.05160) Full Text: DOI
Kovács, István Isomorphisms of cubic Cayley graphs on dihedral groups and sparse circulant matrices. (English) Zbl 1519.05117 Acta Math. Sin., Engl. Ser. 39, No. 4, 618-632 (2023). MSC: 05C25 05C60 20B25 PDF BibTeX XML Cite \textit{I. Kovács}, Acta Math. Sin., Engl. Ser. 39, No. 4, 618--632 (2023; Zbl 1519.05117) Full Text: DOI
Morillas, Patricia Mariela Expressions and characterizations for the Moore-Penrose inverse of operators and matrices. (English) Zbl 07692352 Electron. J. Linear Algebra 39, 214-241 (2023). MSC: 47A05 47B02 15A09 15B05 05C50 PDF BibTeX XML Cite \textit{P. M. Morillas}, Electron. J. Linear Algebra 39, 214--241 (2023; Zbl 07692352) Full Text: arXiv Link
Nikseresht, Ashkan; Oboudi, Mohammad Reza On Gorenstein circulant graphs. (English) Zbl 1514.05186 Discrete Math. 346, No. 7, Article ID 113472, 6 p. (2023). MSC: 05E45 05C25 13A70 13F55 PDF BibTeX XML Cite \textit{A. Nikseresht} and \textit{M. R. Oboudi}, Discrete Math. 346, No. 7, Article ID 113472, 6 p. (2023; Zbl 1514.05186) Full Text: DOI arXiv
Yuan, Lili; Meng, Jixiang Necessary and sufficient conditions for circulant digraphs to be antistrong, weakly-antistrong and anti-Eulerian. (English) Zbl 1512.05162 Graphs Comb. 39, No. 2, Paper No. 22, 9 p. (2023). MSC: 05C20 05C45 PDF BibTeX XML Cite \textit{L. Yuan} and \textit{J. Meng}, Graphs Comb. 39, No. 2, Paper No. 22, 9 p. (2023; Zbl 1512.05162) Full Text: DOI
Miklavič, Štefko; Šparl, Primož On distance magic circulants of valency 6. (English) Zbl 1516.05196 Discrete Appl. Math. 329, 35-48 (2023). Reviewer: Marcin Anholcer (Poznań) MSC: 05C78 05C50 05C07 PDF BibTeX XML Cite \textit{Š. Miklavič} and \textit{P. Šparl}, Discrete Appl. Math. 329, 35--48 (2023; Zbl 1516.05196) Full Text: DOI arXiv
Baz, Juan; Alonso, Pedro; Pérez-Fernández, Raúl Correlation matrices of Gaussian Markov random fields over cycle graphs. (English) Zbl 1514.15048 Linear Algebra Appl. 663, 32-61 (2023). MSC: 15B52 15B05 60G60 05C25 05C50 PDF BibTeX XML Cite \textit{J. Baz} et al., Linear Algebra Appl. 663, 32--61 (2023; Zbl 1514.15048) Full Text: DOI
Kadyan, Monu; Bhattacharjya, Bikash HS-integral and Eisenstein integral mixed circulant graphs. (English) Zbl 1502.05134 Theory Appl. Graphs 10, No. 1, Article 3, 25 p. (2023). MSC: 05C50 05C25 PDF BibTeX XML Cite \textit{M. Kadyan} and \textit{B. Bhattacharjya}, Theory Appl. Graphs 10, No. 1, Article 3, 25 p. (2023; Zbl 1502.05134) Full Text: DOI arXiv
Haviv, Ishay; Parnas, Michal The binary rank of circulant block matrices. (English) Zbl 07613296 Linear Algebra Appl. 656, 277-303 (2023). MSC: 68R10 05C50 15B34 15B99 PDF BibTeX XML Cite \textit{I. Haviv} and \textit{M. Parnas}, Linear Algebra Appl. 656, 277--303 (2023; Zbl 07613296) Full Text: DOI arXiv
Kadyan, Monu; Bhattacharjya, Bikash Integral mixed circulant graphs. (English) Zbl 1502.05133 Discrete Math. 346, No. 1, Article ID 113142, 18 p. (2023). MSC: 05C50 15A18 PDF BibTeX XML Cite \textit{M. Kadyan} and \textit{B. Bhattacharjya}, Discrete Math. 346, No. 1, Article ID 113142, 18 p. (2023; Zbl 1502.05133) Full Text: DOI arXiv
Sriraj, M. A.; Shwetha, B. C.; Veena, C. R.; Roopa, S. V. Partition energy of some lexicographic product of two graphs. (English) Zbl 1511.05199 Proc. Jangjeon Math. Soc. 25, No. 4, 435-454 (2022). MSC: 05C76 05C50 PDF BibTeX XML Cite \textit{M. A. Sriraj} et al., Proc. Jangjeon Math. Soc. 25, No. 4, 435--454 (2022; Zbl 1511.05199) Full Text: DOI
Monakhova, E. A.; Monakhov, O. G. Construction of series of families of degree six circulant networks. (Russian. English summary) Zbl 1508.05153 Diskretn. Anal. Issled. Oper. 29, No. 4, 59-76 (2022). MSC: 05C82 68R10 PDF BibTeX XML Cite \textit{E. A. Monakhova} and \textit{O. G. Monakhov}, Diskretn. Anal. Issled. Oper. 29, No. 4, 59--76 (2022; Zbl 1508.05153) Full Text: DOI MNR
Grunwald, Liliya A.; Kwon, Young Soo; Mednykh, Ilya Counting rooted spanning forests for circulant foliation over a graph. (English) Zbl 1506.05098 Tôhoku Math. J. (2) 74, No. 4, 535-548 (2022). MSC: 05C30 05C75 39A10 PDF BibTeX XML Cite \textit{L. A. Grunwald} et al., Tôhoku Math. J. (2) 74, No. 4, 535--548 (2022; Zbl 1506.05098) Full Text: DOI arXiv
Monakhova, È. A.; Monakhov, O. G. Effective algorithm for finding shortest paths in dense Gaussian networks. (Russian. English summary) Zbl 07643920 Prikl. Diskretn. Mat. 2022, No. 58, 94-104 (2022). MSC: 68-XX 05-XX PDF BibTeX XML Cite \textit{È. A. Monakhova} and \textit{O. G. Monakhov}, Prikl. Diskretn. Mat. 2022, No. 58, 94--104 (2022; Zbl 07643920) Full Text: DOI MNR
Chen, Qin Dominator and total dominator coloring of circulant graph \(C_n(1, 2)\). (English) Zbl 1502.05060 J. Discrete Math. Sci. Cryptography 25, No. 8, 2549-2567 (2022). MSC: 05C15 05C69 PDF BibTeX XML Cite \textit{Q. Chen}, J. Discrete Math. Sci. Cryptography 25, No. 8, 2549--2567 (2022; Zbl 1502.05060) Full Text: DOI
Bašić, Milan Characterization of strongly regular integral circulant graphs by spectral approach. (English) Zbl 1513.05236 Appl. Anal. Discrete Math. 16, No. 2, 288-306 (2022). MSC: 05C50 05E30 PDF BibTeX XML Cite \textit{M. Bašić}, Appl. Anal. Discrete Math. 16, No. 2, 288--306 (2022; Zbl 1513.05236) Full Text: DOI
Reiter, Isaac Armando; Zhou, Ju Perfect matching transitivity of circulant graphs. (English) Zbl 1499.05523 Electron. J. Graph Theory Appl. 10, No. 2, 541-552 (2022). MSC: 05C70 05C25 PDF BibTeX XML Cite \textit{I. A. Reiter} and \textit{J. Zhou}, Electron. J. Graph Theory Appl. 10, No. 2, 541--552 (2022; Zbl 1499.05523) Full Text: DOI
Aceituno, Pau Vilimelis Eigenvalues of random signed graphs with cycles: a graph-centered view of the method of moments with practical applications. (English) Zbl 1507.05082 Benito, Rosa Maria (ed.) et al., Complex networks & their applications X. Volume 2. Proceedings of the 10th international conference, COMPLEX NETWORKS 2021, Madrid, Spain, November 30 – December 2, 2021. Cham: Springer. Stud. Comput. Intell. 1016, 390-400 (2022). Reviewer: Yilun Shang (Newcastle upon Tyne) MSC: 05C80 05C22 05C38 15B52 05C50 PDF BibTeX XML Cite \textit{P. V. Aceituno}, Stud. Comput. Intell. 1016, 390--400 (2022; Zbl 1507.05082) Full Text: DOI
Balaji, R.; Bapat, R. B.; Goel, Shivani On distance matrices of wheel graphs with an odd number of vertices. (English) Zbl 1506.05116 Linear Multilinear Algebra 70, No. 17, 3370-3401 (2022). Reviewer: Carlos Alfaro (Ciudad de México) MSC: 05C50 05C12 PDF BibTeX XML Cite \textit{R. Balaji} et al., Linear Multilinear Algebra 70, No. 17, 3370--3401 (2022; Zbl 1506.05116) Full Text: DOI arXiv
Goyal, Shuchita; Shukla, Samir; Singh, Anurag Topology of clique complexes of line graphs. (English) Zbl 1497.05204 Art Discrete Appl. Math. 5, No. 2, Paper No. P2.06, 12 p. (2022). MSC: 05C69 55P15 05C76 PDF BibTeX XML Cite \textit{S. Goyal} et al., Art Discrete Appl. Math. 5, No. 2, Paper No. P2.06, 12 p. (2022; Zbl 1497.05204) Full Text: DOI arXiv
Biswas, Sucharita; Das, Angsuman; Saha, Manideepa Generalized Andrásfai graphs. (English) Zbl 1513.05184 Discuss. Math., Gen. Algebra Appl. 42, No. 2, 449-462 (2022). MSC: 05C25 05E18 PDF BibTeX XML Cite \textit{S. Biswas} et al., Discuss. Math., Gen. Algebra Appl. 42, No. 2, 449--462 (2022; Zbl 1513.05184) Full Text: DOI
Chaluvaraju, B.; Lokesha, V.; Diwakar, S. A. Association scheme with PBIB designs for minimum co-independent dominating sets of circulant graphs. (English) Zbl 1513.05046 Electron. J. Math. Anal. Appl. 10, No. 1, 144-153 (2022). MSC: 05B05 05C51 05C69 05E30 51E05 PDF BibTeX XML Cite \textit{B. Chaluvaraju} et al., Electron. J. Math. Anal. Appl. 10, No. 1, 144--153 (2022; Zbl 1513.05046) Full Text: Link
Nickerson, Andrew; Paparella, Pietro Jordan chains of \(h\)-cyclic matrices. II. (English) Zbl 1498.15012 Electron. J. Linear Algebra 38, 486-493 (2022). MSC: 15A20 15A21 05C50 05C20 PDF BibTeX XML Cite \textit{A. Nickerson} and \textit{P. Paparella}, Electron. J. Linear Algebra 38, 486--493 (2022; Zbl 1498.15012) Full Text: arXiv Link
Al-Labadi, Manal Geodetic number of circulant graphs \(C_n(\{1,3\})\). (English) Zbl 1495.05146 Palest. J. Math. 11, No. 2, 302-307 (2022). MSC: 05C38 05C12 05C69 PDF BibTeX XML Cite \textit{M. Al-Labadi}, Palest. J. Math. 11, No. 2, 302--307 (2022; Zbl 1495.05146) Full Text: Link
Lin, Xiaoxia; Wang, Keke; Zhang, Meng; Lai, Hong-Jian Bounding \(\ell\)-edge-connectivity in edge-connectivity. (English) Zbl 1497.05136 Discrete Appl. Math. 321, 350-356 (2022). Reviewer: Yilun Shang (Newcastle upon Tyne) MSC: 05C40 PDF BibTeX XML Cite \textit{X. Lin} et al., Discrete Appl. Math. 321, 350--356 (2022; Zbl 1497.05136) Full Text: DOI
Gauci, John Baptist; Zerafa, Jean Paul Accordion graphs: Hamiltonicity, matchings and isomorphism with quartic circulants. (English) Zbl 1497.05217 Discrete Appl. Math. 321, 126-137 (2022). MSC: 05C70 05C45 PDF BibTeX XML Cite \textit{J. B. Gauci} and \textit{J. P. Zerafa}, Discrete Appl. Math. 321, 126--137 (2022; Zbl 1497.05217) Full Text: DOI arXiv
Mojallal, Seyed Ahmad; Jung, Ji-Hwan; Cheon, Gi-Sang; Kim, Suh-Ryung; Kang, Bumtle Structural properties of Toeplitz graphs. (English) Zbl 1495.05276 Discrete Math. 345, No. 11, Article ID 113016, 11 p. (2022). MSC: 05C75 05C17 05C25 05C62 PDF BibTeX XML Cite \textit{S. A. Mojallal} et al., Discrete Math. 345, No. 11, Article ID 113016, 11 p. (2022; Zbl 1495.05276) Full Text: DOI arXiv
Koam, Ali N. A.; Ahmad, Ali; Azeem, Muhammad; Khalil, Adnan; Nadeem, Muhammad Faisal On adjacency metric dimension of some families of graph. (English) Zbl 1493.05086 J. Funct. Spaces 2022, Article ID 6906316, 8 p. (2022). MSC: 05C12 05C75 PDF BibTeX XML Cite \textit{A. N. A. Koam} et al., J. Funct. Spaces 2022, Article ID 6906316, 8 p. (2022; Zbl 1493.05086) Full Text: DOI
Kwon, Young Soo; Lee, Jaeun; Sohn, Moo Young Classification of efficient dominating sets of circulant graphs of degree 5. (English) Zbl 1493.05232 Graphs Comb. 38, No. 4, Paper No. 120, 8 p. (2022). MSC: 05C69 05C25 PDF BibTeX XML Cite \textit{Y. S. Kwon} et al., Graphs Comb. 38, No. 4, Paper No. 120, 8 p. (2022; Zbl 1493.05232) Full Text: DOI
Đoàn, Jacqueline; Mináč, Ján; Muller, Lyle; Nguyen, Tung T.; Pasini, Federico W. Joins of circulant matrices. (English) Zbl 1493.15086 Linear Algebra Appl. 650, 190-209 (2022). MSC: 15B05 15A18 05C50 PDF BibTeX XML Cite \textit{J. Đoàn} et al., Linear Algebra Appl. 650, 190--209 (2022; Zbl 1493.15086) Full Text: DOI arXiv
Antalan, John Rafael M.; Campeña, Francis Joseph H.; Ibañez, Edwin D. A note on some distance-based topological indices of circulant network \(C_n (1, a)\). (English) Zbl 1487.05057 J. Discrete Math. Sci. Cryptography 25, No. 1, 107-125 (2022). MSC: 05C09 05C12 05C85 PDF BibTeX XML Cite \textit{J. R. M. Antalan} et al., J. Discrete Math. Sci. Cryptography 25, No. 1, 107--125 (2022; Zbl 1487.05057) Full Text: DOI
El-Mesady, A.; Farahat, T. Orthogonal labeling for some different infinite graph classes. (English) Zbl 1487.05040 Missouri J. Math. Sci. 34, No. 1, 40-61 (2022). MSC: 05B30 05C70 PDF BibTeX XML Cite \textit{A. El-Mesady} and \textit{T. Farahat}, Missouri J. Math. Sci. 34, No. 1, 40--61 (2022; Zbl 1487.05040) Full Text: DOI
Huang, Jia Domination ratio of a family of integer distance digraphs with arbitrary degree. (English) Zbl 1497.05206 Discrete Appl. Math. 317, 1-9 (2022). Reviewer: Zan-Bo Zhang (Guangzhou) MSC: 05C69 05C25 05C20 05C12 05C07 PDF BibTeX XML Cite \textit{J. Huang}, Discrete Appl. Math. 317, 1--9 (2022; Zbl 1497.05206) Full Text: DOI arXiv
Zhu, Hongwei; Shi, Minjia Several classes of asymptotically good quasi-twisted codes with a low index. (English) Zbl 1495.94137 J. Appl. Math. Comput. 68, No. 2, 1227-1244 (2022). MSC: 94B15 94B25 05E30 PDF BibTeX XML Cite \textit{H. Zhu} and \textit{M. Shi}, J. Appl. Math. Comput. 68, No. 2, 1227--1244 (2022; Zbl 1495.94137) Full Text: DOI
Pal, Hiranmoy Laplacian state transfer on graphs with an edge perturbation between twin vertices. (English) Zbl 1489.05098 Discrete Math. 345, No. 7, Article ID 112872, 9 p. (2022). MSC: 05C50 05C81 81P45 81P68 15A18 PDF BibTeX XML Cite \textit{H. Pal}, Discrete Math. 345, No. 7, Article ID 112872, 9 p. (2022; Zbl 1489.05098) Full Text: DOI arXiv
Pérez-Rosés, Hebert; Bras-Amorós, Maria; Serradilla-Merinero, José Miguel Greedy routing in circulant networks. (English) Zbl 1486.05291 Graphs Comb. 38, No. 3, Paper No. 86, 16 p. (2022). MSC: 05C82 05C20 05C35 05C85 11B39 68R10 PDF BibTeX XML Cite \textit{H. Pérez-Rosés} et al., Graphs Comb. 38, No. 3, Paper No. 86, 16 p. (2022; Zbl 1486.05291) Full Text: DOI
Kharaghani, Hadi; Suda, Sho; Tayfeh-Rezaie, Behruz Disjoint weighing matrices. (English) Zbl 1490.05024 J. Algebr. Comb. 55, No. 1, 27-41 (2022). Reviewer: Dean Crnković (Rijeka) MSC: 05B20 05B30 05E30 05B25 05B15 PDF BibTeX XML Cite \textit{H. Kharaghani} et al., J. Algebr. Comb. 55, No. 1, 27--41 (2022; Zbl 1490.05024) Full Text: DOI arXiv
Andrade, Enide; Bonifácio, Andréa Soares; Robbiano, María; Rodríguez, Jonnathan; Tapia, Katherine Some families of integral mixed graphs. (English) Zbl 1484.05120 Linear Algebra Appl. 641, 48-66 (2022). MSC: 05C50 05C75 15A18 PDF BibTeX XML Cite \textit{E. Andrade} et al., Linear Algebra Appl. 641, 48--66 (2022; Zbl 1484.05120) Full Text: DOI
Fernandez, Blas; Hujdurović, Ademir Canonical double covers of circulants. (English) Zbl 1483.05077 J. Comb. Theory, Ser. B 154, 49-59 (2022). MSC: 05C25 05C70 20B25 05C10 05C75 05C76 PDF BibTeX XML Cite \textit{B. Fernandez} and \textit{A. Hujdurović}, J. Comb. Theory, Ser. B 154, 49--59 (2022; Zbl 1483.05077) Full Text: DOI arXiv
Mönius, Katja Splitting fields of spectra of circulant graphs. (English) Zbl 1482.05203 J. Algebra 594, 154-169 (2022). MSC: 05C50 05C25 PDF BibTeX XML Cite \textit{K. Mönius}, J. Algebra 594, 154--169 (2022; Zbl 1482.05203) Full Text: DOI
Givens, Robin M.; Yu, Gexin; Kincaid, Rex K. Open locating-dominating sets in circulant graphs. (English) Zbl 1479.05265 Discuss. Math., Graph Theory 42, No. 1, 47-62 (2022). MSC: 05C69 PDF BibTeX XML Cite \textit{R. M. Givens} et al., Discuss. Math., Graph Theory 42, No. 1, 47--62 (2022; Zbl 1479.05265) Full Text: DOI
Damnjanović, Ivan; Stevanović, Dragan On circulant nut graphs. (English) Zbl 1483.05093 Linear Algebra Appl. 633, 127-151 (2022). Reviewer: Ayesha Shabbir (Ahsaa-Hofouf) MSC: 05C50 12D05 13P05 11C08 PDF BibTeX XML Cite \textit{I. Damnjanović} and \textit{D. Stevanović}, Linear Algebra Appl. 633, 127--151 (2022; Zbl 1483.05093) Full Text: DOI arXiv
Dobson, Edward; Morris, Joy Cayley graphs of more than one abelian group. (English) Zbl 1496.05072 Art Discrete Appl. Math. 4, No. 3, Paper No. P3.11, 22 p. (2021). MSC: 05C25 20B05 20K99 PDF BibTeX XML Cite \textit{E. Dobson} and \textit{J. Morris}, Art Discrete Appl. Math. 4, No. 3, Paper No. P3.11, 22 p. (2021; Zbl 1496.05072) Full Text: DOI arXiv
Sander, Jürgen W. Holes in lace doilies: the geometric kernel of circulant graphs. (English) Zbl 1504.05132 Elem. Math. 76, No. 4, 154-164 (2021). MSC: 05C25 05C62 PDF BibTeX XML Cite \textit{J. W. Sander}, Elem. Math. 76, No. 4, 154--164 (2021; Zbl 1504.05132) Full Text: DOI
Basher, Mohamed On the reflexive edge strength of the circulant graphs. (English) Zbl 07536279 AIMS Math. 6, No. 9, 9342-9365 (2021). MSC: 05C78 05C12 05C90 PDF BibTeX XML Cite \textit{M. Basher}, AIMS Math. 6, No. 9, 9342--9365 (2021; Zbl 07536279) Full Text: DOI
Anand, Sonica; Roy, Amit Graded Betti numbers of some families of circulant graphs. (English) Zbl 1487.05110 Rocky Mt. J. Math. 51, No. 6, 1919-1940 (2021). MSC: 05C25 05C75 05E40 05E45 13D02 13F55 PDF BibTeX XML Cite \textit{S. Anand} and \textit{A. Roy}, Rocky Mt. J. Math. 51, No. 6, 1919--1940 (2021; Zbl 1487.05110) Full Text: DOI Link
Monakhova, E. A. Series of families of degree six circulant graphs. (Russian. English summary) Zbl 1486.05261 Prikl. Diskretn. Mat. 2021, No. 54, 109-124 (2021). MSC: 05C75 05C25 05C12 05C35 PDF BibTeX XML Cite \textit{E. A. Monakhova}, Prikl. Diskretn. Mat. 2021, No. 54, 109--124 (2021; Zbl 1486.05261) Full Text: DOI MNR
Hujdurović, Ademir; Mitrović, Đorđe; Morris, Dave Witte On automorphisms of the double cover of a circulant graph. (English) Zbl 1486.05129 Electron. J. Comb. 28, No. 4, Research Paper P4.43, 25 p. (2021). MSC: 05C25 05C76 PDF BibTeX XML Cite \textit{A. Hujdurović} et al., Electron. J. Comb. 28, No. 4, Research Paper P4.43, 25 p. (2021; Zbl 1486.05129) Full Text: DOI arXiv
Hacioglu, Ilhan; Bulut, Alper; Kaskaloglu, Kerem The minimal and maximal energies of all cubic circulant graphs. (English) Zbl 1487.05161 AKCE Int. J. Graphs Comb. 18, No. 3, 148-153 (2021). Reviewer: Dragan Stevanović (Niš) MSC: 05C50 15A18 68R05 PDF BibTeX XML Cite \textit{I. Hacioglu} et al., AKCE Int. J. Graphs Comb. 18, No. 3, 148--153 (2021; Zbl 1487.05161) Full Text: DOI
Chaluvaraju, B.; Diwakar, S. A. PBIB designs and their association schemes arising from minimum bi-independent dominating sets of circulant graphs. (English) Zbl 1482.05250 Paikray, Susanta Kumar (ed.) et al., New trends in applied analysis and computational mathematics. Proceedings of the international conference on advances in mathematics and computing, ICAMC 2020, Odisha, India, February 7–8, 2020. Singapore: Springer. Adv. Intell. Syst. Comput. 1356, 277-286 (2021). MSC: 05C69 05C51 05E30 PDF BibTeX XML Cite \textit{B. Chaluvaraju} and \textit{S. A. Diwakar}, Adv. Intell. Syst. Comput. 1356, 277--286 (2021; Zbl 1482.05250) Full Text: DOI
Kooij, Robert E.; Sørensen, Nikolaj Horsevad; Bouffanais, Roland Tuning the clustering coefficient of generalized circulant networks. (English) Zbl 07461838 Physica A 578, Article ID 126088, 13 p. (2021). MSC: 82-XX PDF BibTeX XML Cite \textit{R. E. Kooij} et al., Physica A 578, Article ID 126088, 13 p. (2021; Zbl 07461838) Full Text: DOI arXiv
Bildanov, Ravil; Panshin, Viktor; Ryabov, Grigory On WL-rank and WL-dimension of some Deza circulant graphs. (English) Zbl 1479.05140 Graphs Comb. 37, No. 6, 2397-2421 (2021). MSC: 05C25 05C60 05C75 PDF BibTeX XML Cite \textit{R. Bildanov} et al., Graphs Comb. 37, No. 6, 2397--2421 (2021; Zbl 1479.05140) Full Text: DOI arXiv
Mednykh, A. D.; Mednykh, I. A. Plans’ periodicity theorem for Jacobian of circulant graphs. (English. Russian original) Zbl 1477.57007 Dokl. Math. 103, No. 3, 139-142 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 51-54 (2021). MSC: 57K10 57M15 05C25 PDF BibTeX XML Cite \textit{A. D. Mednykh} and \textit{I. A. Mednykh}, Dokl. Math. 103, No. 3, 139--142 (2021; Zbl 1477.57007); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 51--54 (2021) Full Text: DOI
Pan, Jiangmin; Yin, Fugang Finite edge-transitive bi-circulants. (English) Zbl 1510.20003 Appl. Math. Comput. 405, Article ID 126268, 9 p. (2021). MSC: 20B25 20B15 05C25 20B30 PDF BibTeX XML Cite \textit{J. Pan} and \textit{F. Yin}, Appl. Math. Comput. 405, Article ID 126268, 9 p. (2021; Zbl 1510.20003) Full Text: DOI
Yazawa, Akiko The eigenvalues of the Hessian matrices of the generating functions for trees with \(k\) components. (English) Zbl 1476.05129 Linear Algebra Appl. 631, 48-66 (2021). MSC: 05C50 05A15 05C31 05C05 05B35 13E10 PDF BibTeX XML Cite \textit{A. Yazawa}, Linear Algebra Appl. 631, 48--66 (2021; Zbl 1476.05129) Full Text: DOI arXiv
Pal, Hiranmoy Quantum state transfer on a class of circulant graphs. (English) Zbl 1472.81043 Linear Multilinear Algebra 69, No. 13, 2527-2538 (2021). MSC: 81P45 81P68 05C50 81P47 12F05 05C81 PDF BibTeX XML Cite \textit{H. Pal}, Linear Multilinear Algebra 69, No. 13, 2527--2538 (2021; Zbl 1472.81043) Full Text: DOI arXiv
Miklavič, Štefko; Šparl, Primož Classification of tetravalent distance magic circulant graphs. (English) Zbl 1472.05131 Discrete Math. 344, No. 11, Article ID 112557, 8 p. (2021). MSC: 05C78 05C12 PDF BibTeX XML Cite \textit{Š. Miklavič} and \textit{P. Šparl}, Discrete Math. 344, No. 11, Article ID 112557, 8 p. (2021; Zbl 1472.05131) Full Text: DOI
Sander, J. W. The geometric kernel of integral circulant graphs. (English) Zbl 1470.05105 Electron. J. Comb. 28, No. 3, Research Paper P3.33, 16 p. (2021). MSC: 05C50 05C62 68R10 PDF BibTeX XML Cite \textit{J. W. Sander}, Electron. J. Comb. 28, No. 3, Research Paper P3.33, 16 p. (2021; Zbl 1470.05105) Full Text: DOI
Tamizh Chelvam, T.; Sivagami, M. Structure and substructure connectivity of circulant graphs and hypercubes. (English) Zbl 1488.05249 Arab J. Math. Sci. 27, No. 1, 94-103 (2021). MSC: 05C25 05C40 PDF BibTeX XML Cite \textit{T. Tamizh Chelvam} and \textit{M. Sivagami}, Arab J. Math. Sci. 27, No. 1, 94--103 (2021; Zbl 1488.05249) Full Text: DOI
Rosenfeld, Vladimir R. The spectrum of the vertex quadrangulation of a 4-regular toroidal graph and beyond. (English) Zbl 1468.05251 J. Math. Chem. 59, No. 6, 1551-1569 (2021). MSC: 05C76 05C31 05C10 05C92 92E10 PDF BibTeX XML Cite \textit{V. R. Rosenfeld}, J. Math. Chem. 59, No. 6, 1551--1569 (2021; Zbl 1468.05251) Full Text: DOI
Hoang, D. T.; Maimani, H. R.; Mousivand, A.; Pournaki, M. R. Cohen-Macaulayness of two classes of circulant graphs. (English) Zbl 1467.05210 J. Algebr. Comb. 53, No. 3, 805-827 (2021). MSC: 05C75 13H10 05E40 05E45 PDF BibTeX XML Cite \textit{D. T. Hoang} et al., J. Algebr. Comb. 53, No. 3, 805--827 (2021; Zbl 1467.05210) Full Text: DOI
Higazy, M.; Scapellato, R.; Hamed, Y. S. A complete classification of 5-regular circulant graphs that allow cyclic orthogonal double covers. (English) Zbl 1467.05205 J. Algebr. Comb. 53, No. 3, 593-611 (2021); correction ibid. 54, No. 3, 913-914 (2021). MSC: 05C70 05C78 05C25 05B30 PDF BibTeX XML Cite \textit{M. Higazy} et al., J. Algebr. Comb. 53, No. 3, 593--611 (2021; Zbl 1467.05205) Full Text: DOI
Taranenko, Anna Aleksandrovna On a metric property of perfect colorings. (English) Zbl 1462.05149 Sib. Èlektron. Mat. Izv. 18, No. 1, 640-646 (2021). MSC: 05C15 PDF BibTeX XML Cite \textit{A. A. Taranenko}, Sib. Èlektron. Mat. Izv. 18, No. 1, 640--646 (2021; Zbl 1462.05149) Full Text: DOI arXiv
Plaksina, Valeria Dmitrievna; Shcherbina, Polina Alekseevna New perfect colorings of infinite circulant graphs with continuous sets of distanses. (English) Zbl 1462.05144 Sib. Èlektron. Mat. Izv. 18, No. 1, 530-533 (2021). MSC: 05C15 PDF BibTeX XML Cite \textit{V. D. Plaksina} and \textit{P. A. Shcherbina}, Sib. Èlektron. Mat. Izv. 18, No. 1, 530--533 (2021; Zbl 1462.05144) Full Text: DOI
Kwon, Y. S.; Mednykh, A. D.; Mednykh, I. A. Complexity of the circulant foliation over a graph. (English) Zbl 1464.05194 J. Algebr. Comb. 53, No. 1, 115-129 (2021). MSC: 05C30 05C75 05C50 05C05 39A10 PDF BibTeX XML Cite \textit{Y. S. Kwon} et al., J. Algebr. Comb. 53, No. 1, 115--129 (2021; Zbl 1464.05194) Full Text: DOI arXiv
Goel, Shivani On distance matrices of helm graphs obtained from wheel graphs with an even number of vertices. (English) Zbl 1462.05224 Linear Algebra Appl. 621, 86-104 (2021). MSC: 05C50 05B20 PDF BibTeX XML Cite \textit{S. Goel}, Linear Algebra Appl. 621, 86--104 (2021; Zbl 1462.05224) Full Text: DOI arXiv
Araujo-Pardo, Gabriela; Montellano-Ballesteros, Juan José; Olsen, Mika; Rubio-Montiel, Christian Achromatic numbers for circulant graphs and digraphs. (English) Zbl 1459.05097 Discuss. Math., Graph Theory 41, No. 3, 713-724 (2021). MSC: 05C20 05C15 PDF BibTeX XML Cite \textit{G. Araujo-Pardo} et al., Discuss. Math., Graph Theory 41, No. 3, 713--724 (2021; Zbl 1459.05097) Full Text: DOI arXiv
Balaji, R.; Bapat, R. B.; Goel, Shivani An inverse formula for the distance matrix of a wheel graph with an even number of vertices. (English) Zbl 1458.05140 Linear Algebra Appl. 610, 274-292 (2021). MSC: 05C50 PDF BibTeX XML Cite \textit{R. Balaji} et al., Linear Algebra Appl. 610, 274--292 (2021; Zbl 1458.05140) Full Text: DOI arXiv
Aistleitner, Christoph; D’Angeli, Daniele; Gutierrez, Abraham; Rodaro, Emanuele; Rosenmann, Amnon Circular automata synchronize with high probability. (English) Zbl 1477.68142 J. Comb. Theory, Ser. A 178, Article ID 105356, 31 p. (2021). MSC: 68Q45 05C15 05C31 05C50 60B20 68Q87 PDF BibTeX XML Cite \textit{C. Aistleitner} et al., J. Comb. Theory, Ser. A 178, Article ID 105356, 31 p. (2021; Zbl 1477.68142) Full Text: DOI arXiv
Huo, Chenggang; Bashir, Humera; Zahid, Zohaib; Chu, Yu Ming On the 2-metric resolvability of graphs. (English) Zbl 1485.05138 AIMS Math. 5, No. 6, 6609-6619 (2020). MSC: 05C69 05C12 PDF BibTeX XML Cite \textit{C. Huo} et al., AIMS Math. 5, No. 6, 6609--6619 (2020; Zbl 1485.05138) Full Text: DOI
Ayat, S. Masih; Ayat, S. Majid; Ghahramani, Meysam The independence number of circulant triangle-free graphs. (English) Zbl 1484.05150 AIMS Math. 5, No. 4, 3741-3750 (2020). MSC: 05C69 05C75 PDF BibTeX XML Cite \textit{S. M. Ayat} et al., AIMS Math. 5, No. 4, 3741--3750 (2020; Zbl 1484.05150) Full Text: DOI
Mednykh, A. D.; Mednykh, I. A. Kirchhoff index for circulant graphs and its asymptotics. (English. Russian original) Zbl 1477.05040 Dokl. Math. 102, No. 2, 392-395 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 43-47 (2020). MSC: 05C09 05C50 05C12 05C92 92E10 PDF BibTeX XML Cite \textit{A. D. Mednykh} and \textit{I. A. Mednykh}, Dokl. Math. 102, No. 2, 392--395 (2020; Zbl 1477.05040); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 43--47 (2020) Full Text: DOI
Rinaldo, Giancarlo; Romeo, Francesco 2-Dimensional vertex decomposable circulant graphs. (English) Zbl 1513.13054 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 63(111), No. 3, 301-320 (2020). MSC: 13F55 13H10 PDF BibTeX XML Cite \textit{G. Rinaldo} and \textit{F. Romeo}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 63(111), No. 3, 301--320 (2020; Zbl 1513.13054) Full Text: arXiv
Ahsan, Muhammad; Zahid, Zohaib; Zafar, Sohail Edge metric dimension of some classes of circulant graphs. (English) Zbl 1488.05150 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 28, No. 3, 15-37 (2020). MSC: 05C12 PDF BibTeX XML Cite \textit{M. Ahsan} et al., An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 28, No. 3, 15--37 (2020; Zbl 1488.05150) Full Text: DOI
Dong, Xiaoyuan; Ma, Dengju The 2-page crossing number of \(C (3k, k)\). (Chinese. English summary) Zbl 1474.05103 J. Northeast Norm. Univ., Nat. Sci. Ed. 52, No. 4, 6-9 (2020). MSC: 05C10 05C62 PDF BibTeX XML Cite \textit{X. Dong} and \textit{D. Ma}, J. Northeast Norm. Univ., Nat. Sci. Ed. 52, No. 4, 6--9 (2020; Zbl 1474.05103) Full Text: DOI
Encinas, Andrés M.; Jaume, Daniel A.; Panelo, Cristian; Pastine, Adrián Drazin inverse of singular adjacency matrices of directed weighted cycles. (English) Zbl 1469.15007 Rev. Unión Mat. Argent. 61, No. 2, 209-227 (2020). Reviewer: K. C. Sivakumar (Chennai) MSC: 15A09 15B05 05C50 PDF BibTeX XML Cite \textit{A. M. Encinas} et al., Rev. Unión Mat. Argent. 61, No. 2, 209--227 (2020; Zbl 1469.15007) Full Text: DOI
Jalilolghadr, Parvin; Kazemi, Adel P.; Khodkar, Abdollah Total dominator coloring of circulant graphs \(C_n(a,b)\). (English) Zbl 1468.05078 Util. Math. 115, 105-117 (2020). Reviewer: Hong-Jian Lai (Morgantown) MSC: 05C15 05C69 PDF BibTeX XML Cite \textit{P. Jalilolghadr} et al., Util. Math. 115, 105--117 (2020; Zbl 1468.05078) Full Text: arXiv
Higazy, M. Orthogonal double covers of circulant graphs by corona product of certain infinite graph classes. (English) Zbl 1462.05298 Indian J. Pure Appl. Math. 51, No. 4, 1573-1585 (2020). MSC: 05C70 05B30 05C78 05C76 PDF BibTeX XML Cite \textit{M. Higazy}, Indian J. Pure Appl. Math. 51, No. 4, 1573--1585 (2020; Zbl 1462.05298) Full Text: DOI
Duong, Linh; Kroschel, Brenda K.; Riddell, Michael; Vander Meulen, Kevin N.; Van Tuyl, Adam Maximum nullity and zero forcing of circulant graphs. (English) Zbl 1457.05063 Spec. Matrices 8, 221-234 (2020). MSC: 05C50 05C75 05C76 15A03 PDF BibTeX XML Cite \textit{L. Duong} et al., Spec. Matrices 8, 221--234 (2020; Zbl 1457.05063) Full Text: DOI arXiv
Kamalappan, V. Vilfred New families of circulant graphs without Cayley isomorphism property with \(r_i = 2\). (English) Zbl 1456.05118 Int. J. Appl. Comput. Math. 6, No. 4, Paper No. 90, 34 p. (2020). MSC: 05C60 05C25 PDF BibTeX XML Cite \textit{V. V. Kamalappan}, Int. J. Appl. Comput. Math. 6, No. 4, Paper No. 90, 34 p. (2020; Zbl 1456.05118) Full Text: DOI
Monakhova, E. A. A set of families of analytically described triple loop networks defined by a parameter. (Russian. English summary) Zbl 1499.05535 Prikl. Diskretn. Mat. 2020, No. 49, 108-119 (2020). MSC: 05C75 05C25 PDF BibTeX XML Cite \textit{E. A. Monakhova}, Prikl. Diskretn. Mat. 2020, No. 49, 108--119 (2020; Zbl 1499.05535) Full Text: DOI MNR
Monakhova, E. A. A computation of the shortest paths in optimal two-dimensional circulant networks. (Russian. English summary) Zbl 1455.68146 Prikl. Diskretn. Mat. 2020, No. 47, 87-100 (2020). MSC: 68R10 05C38 05C85 68W35 68W40 PDF BibTeX XML Cite \textit{E. A. Monakhova}, Prikl. Diskretn. Mat. 2020, No. 47, 87--100 (2020; Zbl 1455.68146) Full Text: DOI MNR
Zhou, Houqing Bounds of rank for some integral circulant graphs. (Chinese. English summary) Zbl 1463.05284 J. Zhejiang Univ., Sci. Ed. 47, No. 3, 301-305 (2020). MSC: 05C25 05C50 PDF BibTeX XML Cite \textit{H. Zhou}, J. Zhejiang Univ., Sci. Ed. 47, No. 3, 301--305 (2020; Zbl 1463.05284) Full Text: DOI
Patel, S. K.; Vasava, Jayesh Some results on \((a,d)\)-distance antimagic labeling. (English) Zbl 1451.05205 Proyecciones 39, No. 2, 361-381 (2020). MSC: 05C78 PDF BibTeX XML Cite \textit{S. K. Patel} and \textit{J. Vasava}, Proyecciones 39, No. 2, 361--381 (2020; Zbl 1451.05205) Full Text: DOI
Abdollahzadeh Ahangar, H.; Mojdeh, D. A.; Sayed-Khalkhali, A.; Samodivkin, V. Efficient \(k\)-distance dominating set in Cayley graphs. (English) Zbl 1453.05084 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 1, 141-147 (2020). MSC: 05C69 05C12 05C15 PDF BibTeX XML Cite \textit{H. Abdollahzadeh Ahangar} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 1, 141--147 (2020; Zbl 1453.05084) Full Text: DOI
Jothi, R. Mary Jeya; Revathi, R. SSP-cyclic structure of some circulant graphs. (English) Zbl 1452.05122 J. Comb. Math. Comb. Comput. 112, 95-102 (2020). MSC: 05C69 05C35 05C15 05C30 PDF BibTeX XML Cite \textit{R. M. J. Jothi} and \textit{R. Revathi}, J. Comb. Math. Comb. Comput. 112, 95--102 (2020; Zbl 1452.05122)
Howie, James; Williams, Gerald Planar Whitehead graphs with cyclic symmetry arising from the study of Dunwoody manifolds. (English) Zbl 1448.05051 Discrete Math. 343, No. 12, Article ID 112096, 18 p. (2020). MSC: 05C10 05C99 57M15 57M12 PDF BibTeX XML Cite \textit{J. Howie} and \textit{G. Williams}, Discrete Math. 343, No. 12, Article ID 112096, 18 p. (2020; Zbl 1448.05051) Full Text: DOI arXiv
Janssen, Jeannette; MacKeigan, Kyle Orthogonal colourings of Cayley graphs. (English) Zbl 1447.05082 Discrete Math. 343, No. 11, Article ID 112079, 9 p. (2020). Reviewer: Valeriano Aiello (Genève) MSC: 05C15 05C25 PDF BibTeX XML Cite \textit{J. Janssen} and \textit{K. MacKeigan}, Discrete Math. 343, No. 11, Article ID 112079, 9 p. (2020; Zbl 1447.05082) Full Text: DOI arXiv
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
Abrosimov, Nikolaĭ Vladimirovich; Baĭgonakova, Gal’ya Amanboldynovna; Grunwald, Liliya Aleksandrovna; Mednykh, Il’ya Aleksandrovich Counting rooted spanning forests in cobordism of two circulant graphs. (English) Zbl 1444.05066 Sib. Èlektron. Mat. Izv. 17, 814-823 (2020). MSC: 05C30 05C75 39A10 PDF BibTeX XML Cite \textit{N. V. Abrosimov} et al., Sib. Èlektron. Mat. Izv. 17, 814--823 (2020; Zbl 1444.05066) Full Text: DOI
Gatt, Victoria; Klin, Mikhail; Lauri, Josef; Liskovets, Valery From Schur rings to constructive and analytical enumeration of circulant graphs with prime-cubed number of vertices. (English) Zbl 1436.05044 Jones, Gareth A. (ed.) et al., Isomorphisms, symmetry and computations in algebraic graph theory. Selected papers based on the presentations at the workshop on algebraic graph theory, Pilsen, Czech Republic, October 3–7, 2016. Cham: Springer. Springer Proc. Math. Stat. 305, 37-65 (2020). MSC: 05C25 20C05 PDF BibTeX XML Cite \textit{V. Gatt} et al., Springer Proc. Math. Stat. 305, 37--65 (2020; Zbl 1436.05044) Full Text: DOI arXiv
Parshina, Ol’ga Gennad’evna; Lisitsyna, Mariya Aleksandrovna The perfect 2-colorings of infinite circulant graphs with a continuous set of odd distances. (English) Zbl 1440.05095 Sib. Èlektron. Mat. Izv. 17, 590-603 (2020). MSC: 05C15 05C25 05C30 PDF BibTeX XML Cite \textit{O. G. Parshina} and \textit{M. A. Lisitsyna}, Sib. Èlektron. Mat. Izv. 17, 590--603 (2020; Zbl 1440.05095) Full Text: DOI arXiv