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 07311312 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 07311312) Full Text: DOI
Aistleitner, Christoph; D’Angeli, Daniele; Gutierrez, Abraham; Rodaro, Emanuele; Rosenmann, Amnon Circular automata synchronize with high probability. (English) Zbl 07304662 J. Comb. Theory, Ser. A 178, Article ID 105356, 31 p. (2021). MSC: 68Q 05C PDF BibTeX XML Cite \textit{C. Aistleitner} et al., J. Comb. Theory, Ser. A 178, Article ID 105356, 31 p. (2021; Zbl 07304662) Full Text: DOI
Monakhova, E. A. A set of families of analytically described triple loop networks defined by a parameter. (Russian. English summary) Zbl 07312028 Prikl. Diskretn. Mat. 2020, No. 49, 108-119 (2020). MSC: 05 90 PDF BibTeX XML Cite \textit{E. A. Monakhova}, Prikl. Diskretn. Mat. 2020, No. 49, 108--119 (2020; Zbl 07312028) Full Text: DOI MNR
Monakhova, E. A. A computation of the shortest paths in optimal two-dimensional circulant networks. (Russian. English summary) Zbl 07312007 Prikl. Diskretn. Mat. 2020, No. 47, 87-100 (2020). MSC: 05 90 PDF BibTeX XML Cite \textit{E. A. Monakhova}, Prikl. Diskretn. Mat. 2020, No. 47, 87--100 (2020; Zbl 07312007) Full Text: DOI MNR
Zhou, Houqing Bounds of rank for some integral circulant graphs. (Chinese. English summary) Zbl 07295940 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 07295940) 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 07277550 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 07277550) 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
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
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
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
Basak, Mithun; Saha, Laxman; Das, Gour Kanta; Tiwary, Kalishankar Fault-tolerant metric dimension of circulant graphs \(C_n(1,2,3)\). (English) Zbl 1436.05054 Theor. Comput. Sci. 817, 66-79 (2020). MSC: 05C40 05C12 PDF BibTeX XML Cite \textit{M. Basak} et al., Theor. Comput. Sci. 817, 66--79 (2020; Zbl 1436.05054) Full Text: DOI
Bulut, Alper; Hacioglu, Ilhan The energy of all connected cubic circulant graphs. (English) Zbl 1434.05089 Linear Multilinear Algebra 68, No. 4, 679-685 (2020). MSC: 05C50 PDF BibTeX XML Cite \textit{A. Bulut} and \textit{I. Hacioglu}, Linear Multilinear Algebra 68, No. 4, 679--685 (2020; Zbl 1434.05089) Full Text: DOI
Kwon, Young Soo; Lee, Jaeun Enumerating abelian typical cube-free fold coverings of a circulant graph. (English) Zbl 1433.05156 Algebra Colloq. 27, No. 1, 137-148 (2020). MSC: 05C30 05C70 05C60 05C10 PDF BibTeX XML Cite \textit{Y. S. Kwon} and \textit{J. Lee}, Algebra Colloq. 27, No. 1, 137--148 (2020; Zbl 1433.05156) Full Text: DOI
Kwon, Young Soo; Sohn, Moo Young; Chen, Xue-gang Existence of efficient total dominating sets of circulant graphs of degree 4. (English) Zbl 1431.05114 Discrete Math. 343, No. 3, Article ID 111742, 5 p. (2020). MSC: 05C69 05C07 PDF BibTeX XML Cite \textit{Y. S. Kwon} et al., Discrete Math. 343, No. 3, Article ID 111742, 5 p. (2020; Zbl 1431.05114) Full Text: DOI
Vetrík, Tomáš On the metric dimension of directed and undirected circulant graphs. (English) Zbl 1437.05114 Discuss. Math., Graph Theory 40, No. 1, 67-76 (2020). Reviewer: Bijo S. Anand (Kollam) MSC: 05C35 05C12 PDF BibTeX XML Cite \textit{T. Vetrík}, Discuss. Math., Graph Theory 40, No. 1, 67--76 (2020; Zbl 1437.05114) Full Text: DOI
Mönius, Katja The algebraic degree of spectra of circulant graphs. (English) Zbl 1428.05200 J. Number Theory 208, 295-304 (2020). MSC: 05C50 05C25 11R18 PDF BibTeX XML Cite \textit{K. Mönius}, J. Number Theory 208, 295--304 (2020; Zbl 1428.05200) Full Text: DOI
Bašić, Milan; Ilić, Aleksandar; Stamenković, Aleksandar Maximal diameter on a class of circulant graphs. (English) Zbl 1437.81016 Ćirić, Miroslav (ed.) et al., Algebraic informatics. 8th international conference, CAI 2019, Niš, Serbia, June 30 – July 4, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11545, 76-87 (2019). MSC: 81P45 05C82 05C78 PDF BibTeX XML Cite \textit{M. Bašić} et al., Lect. Notes Comput. Sci. 11545, 76--87 (2019; Zbl 1437.81016) Full Text: DOI
Liu, Chih-Hsiuan; Chia, Ming-I; Zhang, Guang-Hui; Wang, Tao-Ming Super vertex magic circulant graphs. (English) Zbl 1427.05200 Util. Math. 110, 315-326 (2019). MSC: 05C78 PDF BibTeX XML Cite \textit{C.-H. Liu} et al., Util. Math. 110, 315--326 (2019; Zbl 1427.05200)
Gutekunst, Samuel C.; Williamson, David P. Characterizing the integrality gap of the subtour LP for the circulant traveling salesman problem. (English) Zbl 1434.90169 SIAM J. Discrete Math. 33, No. 4, 2452-2478 (2019). MSC: 90C27 90C35 68W25 05C85 90C05 90C59 PDF BibTeX XML Cite \textit{S. C. Gutekunst} and \textit{D. P. Williamson}, SIAM J. Discrete Math. 33, No. 4, 2452--2478 (2019; Zbl 1434.90169) Full Text: DOI arXiv
Kotzagiannidis, M. S.; Dragotti, P. L. Splines and wavelets on circulant graphs. (English) Zbl 1423.42065 Appl. Comput. Harmon. Anal. 47, No. 2, 481-515 (2019). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 42C40 05C90 41A15 94A12 PDF BibTeX XML Cite \textit{M. S. Kotzagiannidis} and \textit{P. L. Dragotti}, Appl. Comput. Harmon. Anal. 47, No. 2, 481--515 (2019; Zbl 1423.42065) Full Text: DOI
Alspach, Brian; Khodadadpour, Afsaneh; Kreher, Donald L. On factor-invariant graphs. (English) Zbl 1418.05072 Discrete Math. 342, No. 8, 2173-2178 (2019). MSC: 05C25 05C70 05C45 PDF BibTeX XML Cite \textit{B. Alspach} et al., Discrete Math. 342, No. 8, 2173--2178 (2019; Zbl 1418.05072) Full Text: DOI
Kagan, Mikhail; Mata, Brian A physics perspective on the resistance distance for graphs. (English) Zbl 07095831 Math. Comput. Sci. 13, No. 1-2, 105-115 (2019). MSC: 94C05 05C12 05C50 05C81 68R10 PDF BibTeX XML Cite \textit{M. Kagan} and \textit{B. Mata}, Math. Comput. Sci. 13, No. 1--2, 105--115 (2019; Zbl 07095831) Full Text: DOI
Abdi Makvand, Mohsen; Mousivand, Amir Betti numbers of some circulant graphs. (English) Zbl 07088806 Czech. Math. J. 69, No. 3, 593-607 (2019). MSC: 13D02 05C75 PDF BibTeX XML Cite \textit{M. Abdi Makvand} and \textit{A. Mousivand}, Czech. Math. J. 69, No. 3, 593--607 (2019; Zbl 07088806) Full Text: DOI
Daǧlı, Mehmet; Olmez, Oktay; Smith, Jonathan D. H. Ricci curvature, circulants, and extended matching conditions. (English) Zbl 1415.05038 Bull. Korean Math. Soc. 56, No. 1, 201-217 (2019). MSC: 05C10 05C81 05C25 53C23 PDF BibTeX XML Cite \textit{M. Daǧlı} et al., Bull. Korean Math. Soc. 56, No. 1, 201--217 (2019; Zbl 1415.05038) Full Text: DOI
Chen, Jiyong; Jin, Wei; Li, Cai Heng On 2-distance-transitive circulants. (English) Zbl 1414.05099 J. Algebr. Comb. 49, No. 2, 179-191 (2019). MSC: 05C12 05C25 05C38 PDF BibTeX XML Cite \textit{J. Chen} et al., J. Algebr. Comb. 49, No. 2, 179--191 (2019; Zbl 1414.05099) Full Text: DOI
Huang, Jia Domination ratio of integer distance digraphs. (English) Zbl 1411.05113 Discrete Appl. Math. 262, 104-115 (2019). MSC: 05C25 05C12 05C69 PDF BibTeX XML Cite \textit{J. Huang}, Discrete Appl. Math. 262, 104--115 (2019; Zbl 1411.05113) Full Text: DOI arXiv
Shukla, Samir Homotopy type of the neighborhood complexes of graphs of maximal degree at most 3 and 4-regular circulant graphs. (English) Zbl 1416.05116 Electron. J. Comb. 26, No. 2, Research Paper P2.4, 18 p. (2019). Reviewer: Gregory J. Puleo (Auburn) MSC: 05C15 57M15 05C07 PDF BibTeX XML Cite \textit{S. Shukla}, Electron. J. Comb. 26, No. 2, Research Paper P2.4, 18 p. (2019; Zbl 1416.05116) Full Text: Link arXiv
Tan, Ying-Ying; Feng, Keqin; Cao, Xiwang Perfect state transfer on abelian Cayley graphs. (English) Zbl 1403.05066 Linear Algebra Appl. 563, 331-352 (2019). MSC: 05C25 05C40 81P45 81Q35 PDF BibTeX XML Cite \textit{Y.-Y. Tan} et al., Linear Algebra Appl. 563, 331--352 (2019; Zbl 1403.05066) Full Text: DOI arXiv
Hacioglu, Ilhan; Kaskaloglu, Kerem On the rank of the Doob graph and its complement. (English) Zbl 07244566 Kuwait J. Sci. 45, No. 3, 1-5 (2018). MSC: 05C50 05C20 15B36 PDF BibTeX XML Cite \textit{I. Hacioglu} and \textit{K. Kaskaloglu}, Kuwait J. Sci. 45, No. 3, 1--5 (2018; Zbl 07244566) Full Text: Link
Li, Hengzhe; Wang, Jiajia The \(\lambda_3\)-connectivity and \(\kappa_3\)-connectivity of recursive circulants. (English) Zbl 1428.05168 Appl. Math. Comput. 339, 750-757 (2018). MSC: 05C40 05C05 05C76 PDF BibTeX XML Cite \textit{H. Li} and \textit{J. Wang}, Appl. Math. Comput. 339, 750--757 (2018; Zbl 1428.05168) Full Text: DOI
Kulli, V. R.; Chaluvaraju, B.; Kumara, M. PBIB-designs and association schemes from minimum split dominating sets of certain jump sizes of circulant graphs. (English) Zbl 1428.05236 South East Asian J. Math. Math. Sci. 14, No. 1, 81-94 (2018). MSC: 05C69 05C51 05E30 PDF BibTeX XML Cite \textit{V. R. Kulli} et al., South East Asian J. Math. Math. Sci. 14, No. 1, 81--94 (2018; Zbl 1428.05236)
Maritz, Elizabeth C. M.; Vetrík, Tomáš The partition dimension of circulant graphs. (English) Zbl 1423.05088 Quaest. Math. 41, No. 1, 49-63 (2018). MSC: 05C35 05C12 PDF BibTeX XML Cite \textit{E. C. M. Maritz} and \textit{T. Vetrík}, Quaest. Math. 41, No. 1, 49--63 (2018; Zbl 1423.05088) Full Text: DOI
Zhou, Houqing The distance energy of circulant graphs. (English) Zbl 1424.05204 Chin. Q. J. Math. 33, No. 3, 233-239 (2018). MSC: 05C50 05C12 PDF BibTeX XML Cite \textit{H. Zhou}, Chin. Q. J. Math. 33, No. 3, 233--239 (2018; Zbl 1424.05204) Full Text: DOI
Gregor, Petr; Škrekovski, Riste; Vukašinović, Vida Broadcasting multiple messages in the 1-in port model in optimal time. (English) Zbl 1414.90346 J. Comb. Optim. 36, No. 4, 1333-1355 (2018). MSC: 90C35 PDF BibTeX XML Cite \textit{P. Gregor} et al., J. Comb. Optim. 36, No. 4, 1333--1355 (2018; Zbl 1414.90346) Full Text: DOI
Ahmad, A.; Akhtar, N.; Gharibi, W.; Ashraf, A. Computing total edge product cordial labeling of circulant graphs. (English) Zbl 06986954 Ars Comb. 141, 353-367 (2018). MSC: 05C78 PDF BibTeX XML Cite \textit{A. Ahmad} et al., Ars Comb. 141, 353--367 (2018; Zbl 06986954)
Tamizh Chelvam, T.; Raja, S. Integral circulant graphs with four distinct eigenvalues. (English) Zbl 1400.05151 Discrete Math. Algorithms Appl. 10, No. 5, Article ID 1850057, 11 p. (2018). MSC: 05C50 05C25 PDF BibTeX XML Cite \textit{T. Tamizh Chelvam} and \textit{S. Raja}, Discrete Math. Algorithms Appl. 10, No. 5, Article ID 1850057, 11 p. (2018; Zbl 1400.05151) Full Text: DOI
Qin, Zheng-Xin; Meng, Ji-Xiang; Huang, Qiong-Xiang A classification of spectrum-determined circulant digraphs. (English) Zbl 1402.05141 Acta Math. Appl. Sin., Engl. Ser. 34, No. 4, 703-709 (2018). MSC: 05C50 05C20 PDF BibTeX XML Cite \textit{Z.-X. Qin} et al., Acta Math. Appl. Sin., Engl. Ser. 34, No. 4, 703--709 (2018; Zbl 1402.05141) Full Text: DOI
Abrosimov, N. V.; Baigonakova, G. A.; Mednykh, I. A. Counting spanning trees in cobordism of two circulant graphs. (English) Zbl 1398.05058 Sib. Èlektron. Mat. Izv. 15, 1145-1157 (2018). MSC: 05C05 05C31 05C75 05C30 39A10 PDF BibTeX XML Cite \textit{N. V. Abrosimov} et al., Sib. Èlektron. Mat. Izv. 15, 1145--1157 (2018; Zbl 1398.05058) Full Text: DOI
Liu, Shuting; Lin, Huiqiu; Shu, Jinlong Distance eigenvalues and forwarding indices of circulants. (English) Zbl 1401.05186 Taiwanese J. Math. 22, No. 3, 513-528 (2018). MSC: 05C50 05C12 PDF BibTeX XML Cite \textit{S. Liu} et al., Taiwanese J. Math. 22, No. 3, 513--528 (2018; Zbl 1401.05186) Full Text: DOI Euclid
Richter, Sebastian; Rocha, Israel Layout of random circulant graphs. (English) Zbl 1397.05105 Linear Algebra Appl. 559, 95-113 (2018). MSC: 05C50 05C80 05C85 15B52 15A18 PDF BibTeX XML Cite \textit{S. Richter} and \textit{I. Rocha}, Linear Algebra Appl. 559, 95--113 (2018; Zbl 1397.05105) Full Text: DOI arXiv
Sampathkumar, E.; Roopa, S. V.; Vidya, K. A.; Sriraj, M. A. Partition energy of complete product of circulant graphs and some new class of graphs. (English) Zbl 1400.05203 Adv. Stud. Contemp. Math., Kyungshang 28, No. 2, 269-283 (2018). Reviewer: Hanna Furmańczyk (Gdańsk) MSC: 05C76 05C70 05C50 PDF BibTeX XML Cite \textit{E. Sampathkumar} et al., Adv. Stud. Contemp. Math., Kyungshang 28, No. 2, 269--283 (2018; Zbl 1400.05203) Full Text: DOI
Exner, Pavel; Turek, Ondřej; Tater, Miloš A family of quantum graph vertex couplings interpolating between different symmetries. (English) Zbl 1396.81098 J. Phys. A, Math. Theor. 51, No. 28, Article ID 285301, 22 p. (2018). MSC: 81Q35 05C07 17B69 82D25 41A05 81R05 35P25 PDF BibTeX XML Cite \textit{P. Exner} et al., J. Phys. A, Math. Theor. 51, No. 28, Article ID 285301, 22 p. (2018; Zbl 1396.81098) Full Text: DOI
Sander, J. W. Structural properties and formulae of the spectra of integral circulant graphs. (English) Zbl 1409.05132 Acta Arith. 184, No. 3, 297-315 (2018). Reviewer: Ayesha Shabbir (Ahsaa-Hofouf) MSC: 05C50 05C25 11L03 PDF BibTeX XML Cite \textit{J. W. Sander}, Acta Arith. 184, No. 3, 297--315 (2018; Zbl 1409.05132) Full Text: DOI
Bryant, Darryn; Herke, Sarada; Maenhaut, Barbara; Webb, Bridget S. On Hamilton decompositions of infinite circulant graphs. (English) Zbl 1393.05190 J. Graph Theory 88, No. 3, 434-448 (2018). MSC: 05C63 05C45 PDF BibTeX XML Cite \textit{D. Bryant} et al., J. Graph Theory 88, No. 3, 434--448 (2018; Zbl 1393.05190) Full Text: DOI
Rinaldo, Giancarlo Some algebraic invariants of edge ideal of circulant graphs. (English) Zbl 1399.13024 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 61(109), No. 1, 95-105 (2018). MSC: 13F55 13H10 PDF BibTeX XML Cite \textit{G. Rinaldo}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 61(109), No. 1, 95--105 (2018; Zbl 1399.13024) Full Text: arXiv
Ali, Niran Abbas; Kilicman, Adem; Trao, Hazim Michman Restricted triangulation on circulant graphs. (English) Zbl 1392.05029 Open Math. 16, 358-369 (2018). MSC: 05C10 PDF BibTeX XML Cite \textit{N. A. Ali} et al., Open Math. 16, 358--369 (2018; Zbl 1392.05029) Full Text: DOI
Godinho, Aloysius; Singh, T. Some distance magic graphs. (English) Zbl 1390.05203 AKCE Int. J. Graphs Comb. 15, No. 1, 1-6 (2018). MSC: 05C78 05C12 PDF BibTeX XML Cite \textit{A. Godinho} and \textit{T. Singh}, AKCE Int. J. Graphs Comb. 15, No. 1, 1--6 (2018; Zbl 1390.05203) Full Text: DOI
Azhar, Muhammad Naeem; Javaid, Imran Metric basis in circulant networks. (English) Zbl 1413.05358 Ars Comb. 136, 277-286 (2018). MSC: 05C82 PDF BibTeX XML Cite \textit{M. N. Azhar} and \textit{I. Javaid}, Ars Comb. 136, 277--286 (2018; Zbl 1413.05358)
Galloway, Kevin S.; Dey, Biswadip Collective motion under beacon-referenced cyclic pursuit. (English) Zbl 1387.93012 Automatica 91, 17-26 (2018). MSC: 93A14 68T42 91A24 93C85 93B27 93D30 93B35 PDF BibTeX XML Cite \textit{K. S. Galloway} and \textit{B. Dey}, Automatica 91, 17--26 (2018; Zbl 1387.93012) Full Text: DOI
Borchert, Adam; Gosselin, Shonda The metric dimension of circulant graphs and Cayley hypergraphs. (English) Zbl 06889794 Util. Math. 106, 125-147 (2018). MSC: 05C12 05C65 05C25 05E18 PDF BibTeX XML Cite \textit{A. Borchert} and \textit{S. Gosselin}, Util. Math. 106, 125--147 (2018; Zbl 06889794)
Jha, Pranava K. Efficient eight-regular circulants based on the Kronecker product. (English) Zbl 1387.05218 Discrete Appl. Math. 243, 207-218 (2018). MSC: 05C76 PDF BibTeX XML Cite \textit{P. K. Jha}, Discrete Appl. Math. 243, 207--218 (2018; Zbl 1387.05218) Full Text: DOI
Sander, J. W. On the kernel of integral circulant graphs. (English) Zbl 1390.05137 Linear Algebra Appl. 549, 79-85 (2018). MSC: 05C50 11L03 PDF BibTeX XML Cite \textit{J. W. Sander}, Linear Algebra Appl. 549, 79--85 (2018; Zbl 1390.05137) Full Text: DOI
Araújo, João; Bentz, Wolfram; Dobson, Edward; Konieczny, Janusz; Morris, Joy Automorphism groups of circulant digraphs with applications to semigroup theory. (English) Zbl 1399.05099 Combinatorica 38, No. 1, 1-28 (2018). MSC: 05C25 20M20 20B25 05C20 PDF BibTeX XML Cite \textit{J. Araújo} et al., Combinatorica 38, No. 1, 1--28 (2018; Zbl 1399.05099) Full Text: DOI
Shparlinski, Igor E. Constructing dominating sets in circulant graphs. (English) Zbl 1391.05131 Ann. Comb. 22, No. 1, 201-211 (2018). Reviewer: Linda Lesniak (Kalamazoo) MSC: 05C25 05C69 05C20 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Ann. Comb. 22, No. 1, 201--211 (2018; Zbl 1391.05131) Full Text: DOI arXiv
Chaluvaraju, B.; Manjunath, N. PBIB-designs and association schemes arising from minimum bi-connected dominating sets of some special classes of graphs. (English) Zbl 1399.05163 Afr. Mat. 29, No. 1-2, 47-63 (2018). MSC: 05C51 05E30 05C69 05B05 PDF BibTeX XML Cite \textit{B. Chaluvaraju} and \textit{N. Manjunath}, Afr. Mat. 29, No. 1--2, 47--63 (2018; Zbl 1399.05163) Full Text: DOI
Dębski, Michał; Lonc, Zbigniew; Rzążewski, Paweł Achromatic and harmonious colorings of circulant graphs. (English) Zbl 1380.05058 J. Graph Theory 87, No. 1, 18-34 (2018). MSC: 05C15 PDF BibTeX XML Cite \textit{M. Dębski} et al., J. Graph Theory 87, No. 1, 18--34 (2018; Zbl 1380.05058) Full Text: DOI
Pal, Hiranmoy More circulant graphs exhibiting pretty good state transfer. (English) Zbl 1380.05124 Discrete Math. 341, No. 4, 889-895 (2018). MSC: 05C50 05C99 PDF BibTeX XML Cite \textit{H. Pal}, Discrete Math. 341, No. 4, 889--895 (2018; Zbl 1380.05124) Full Text: DOI arXiv
Imran, Muhammad; Baig, A. Q.; Rashid, Saima; Semaničová-Feňovčíková, Andrea On the metric dimension and diameter of circulant graphs with three jumps. (English) Zbl 1380.05046 Discrete Math. Algorithms Appl. 10, No. 1, Article ID 1850008, 17 p. (2018). MSC: 05C12 PDF BibTeX XML Cite \textit{M. Imran} et al., Discrete Math. Algorithms Appl. 10, No. 1, Article ID 1850008, 17 p. (2018; Zbl 1380.05046) Full Text: DOI
Chau, Kevin; Gosselin, Shonda The metric dimension of circulant graphs and their Cartesian products. (English) Zbl 1431.05052 Opusc. Math. 37, No. 4, 509-534 (2017). Reviewer: Dominic van der Zypen (Trimstein) MSC: 05C12 05C65 05C25 05E18 05C76 05C40 PDF BibTeX XML Cite \textit{K. Chau} and \textit{S. Gosselin}, Opusc. Math. 37, No. 4, 509--534 (2017; Zbl 1431.05052) Full Text: DOI
Deng, Yunping; Sun, Yuqin Efficient dominating sets in circulant graphs. (Chinese. English summary) Zbl 1413.05284 J. Nat. Sci. Heilongjiang Univ. 34, No. 6, 640-644 (2017). MSC: 05C69 05C25 PDF BibTeX XML Cite \textit{Y. Deng} and \textit{Y. Sun}, J. Nat. Sci. Heilongjiang Univ. 34, No. 6, 640--644 (2017; Zbl 1413.05284) Full Text: DOI
Lisitsyna, M. A.; Parshina, O. G. Perfect colorings of the infinite circulant graph with distances 1 and 2. (Russian, English) Zbl 1399.05079 Diskretn. Anal. Issled. Oper. 24, No. 3, 20-34 (2017); translation in J. Appl. Ind. Math. 11, No. 3, 381-388 (2017). MSC: 05C15 05C25 PDF BibTeX XML Cite \textit{M. A. Lisitsyna} and \textit{O. G. Parshina}, Diskretn. Anal. Issled. Oper. 24, No. 3, 20--34 (2017; Zbl 1399.05079); translation in J. Appl. Ind. Math. 11, No. 3, 381--388 (2017) Full Text: DOI
Bevan, David Large circulant graphs of fixed diameter and arbitrary degree. (English) Zbl 1380.05097 Ars Math. Contemp. 13, No. 2, 275-291 (2017). MSC: 05C25 05C35 05C12 05C07 PDF BibTeX XML Cite \textit{D. Bevan}, Ars Math. Contemp. 13, No. 2, 275--291 (2017; Zbl 1380.05097) Full Text: DOI
Vetrík, Tomáš On the metric dimension of circulant graphs with 4 generators. (English) Zbl 1376.05074 Contrib. Discrete Math. 12, No. 2, 104-114 (2017). MSC: 05C35 05C12 PDF BibTeX XML Cite \textit{T. Vetrík}, Contrib. Discrete Math. 12, No. 2, 104--114 (2017; Zbl 1376.05074) Full Text: Link
van der Meulen, Kevin N.; van Tuyl, Adam Shellability, vertex decomposability, and lexicographical products of graphs. (English) Zbl 1376.05171 Contrib. Discrete Math. 12, No. 2, 63-68 (2017). MSC: 05E45 05C76 13F55 PDF BibTeX XML Cite \textit{K. N. van der Meulen} and \textit{A. van Tuyl}, Contrib. Discrete Math. 12, No. 2, 63--68 (2017; Zbl 1376.05171) Full Text: Link arXiv
Arockiaraj, Micheal; Packiaraj, L.; Rajan, R. Sundara Exact wirelength of circulant networks into cycle-of-ladders. (English) Zbl 1424.94108 Ars Comb. 132, 269-283 (2017). MSC: 94C15 05C82 PDF BibTeX XML Cite \textit{M. Arockiaraj} et al., Ars Comb. 132, 269--283 (2017; Zbl 1424.94108)
Cho, Jung Rae A remark on circulant decompositions of complete multipartite graphs by gregarious cycles. (English) Zbl 1374.05045 East Asian Math. J. 33, No. 1, 67-74 (2017). MSC: 05B10 05C38 05C70 PDF BibTeX XML Cite \textit{J. R. Cho}, East Asian Math. J. 33, No. 1, 67--74 (2017; Zbl 1374.05045) Full Text: DOI
El-Shanawany, R.; El-Mesady, A. On cyclic orthogonal double covers of circulant graphs by special infinite graphs. (English) Zbl 1375.05210 AKCE Int. J. Graphs Comb. 14, No. 3, 269-276 (2017). MSC: 05C70 05C63 PDF BibTeX XML Cite \textit{R. El-Shanawany} and \textit{A. El-Mesady}, AKCE Int. J. Graphs Comb. 14, No. 3, 269--276 (2017; Zbl 1375.05210) Full Text: DOI
Bogdanowicz, Zbigniew R. Hamiltonicity properties of circulant digraphs of semiprime or power of prime order. (English) Zbl 1441.05088 Far East J. Math. Sci. (FJMS) 101, No. 11, 2461-2474 (2017). MSC: 05C20 05C38 05C51 05C45 PDF BibTeX XML Cite \textit{Z. R. Bogdanowicz}, Far East J. Math. Sci. (FJMS) 101, No. 11, 2461--2474 (2017; Zbl 1441.05088) Full Text: DOI Link
Paton, Martin; Akartunali, Kerem; Higham, Desmond J. Centrality analysis for modified lattices. (English) Zbl 1373.05186 SIAM J. Matrix Anal. Appl. 38, No. 3, 1055-1073 (2017). MSC: 05C82 05C50 PDF BibTeX XML Cite \textit{M. Paton} et al., SIAM J. Matrix Anal. Appl. 38, No. 3, 1055--1073 (2017; Zbl 1373.05186) Full Text: DOI
Llano, Bernardo; Olsen, Mika Disproof of a conjecture of Neumann-Lara. (English) Zbl 1372.05089 Electron. J. Comb. 24, No. 4, Research Paper P4.5, 15 p. (2017). MSC: 05C20 05C15 PDF BibTeX XML Cite \textit{B. Llano} and \textit{M. Olsen}, Electron. J. Comb. 24, No. 4, Research Paper P4.5, 15 p. (2017; Zbl 1372.05089) Full Text: Link
Connelly, Erin; Grammel, Nathaniel; Kraut, Michael; Serazo, Luis; Tamon, Christino Universality in perfect state transfer. (English) Zbl 1370.05135 Linear Algebra Appl. 531, 516-532 (2017). MSC: 05C50 PDF BibTeX XML Cite \textit{E. Connelly} et al., Linear Algebra Appl. 531, 516--532 (2017; Zbl 1370.05135) Full Text: DOI arXiv
Rajasingh, Indra; Rajan, R. Sundara Exact wirelength of embedding circulant networks into necklace and windmill graphs. (English) Zbl 1413.05365 Ars Comb. 130, 215-237 (2017). MSC: 05C85 05C82 PDF BibTeX XML Cite \textit{I. Rajasingh} and \textit{R. S. Rajan}, Ars Comb. 130, 215--237 (2017; Zbl 1413.05365)
Nicoloso, S.; Pietropaoli, U. Vertex-colouring of 3-chromatic circulant graphs. (English) Zbl 1367.05079 Discrete Appl. Math. 229, 121-138 (2017). MSC: 05C15 PDF BibTeX XML Cite \textit{S. Nicoloso} and \textit{U. Pietropaoli}, Discrete Appl. Math. 229, 121--138 (2017; Zbl 1367.05079) Full Text: DOI
Rodríguez, José M.; Sigarreta, José M. The hyperbolicity constant of infinite circulant graphs. (English) Zbl 1367.05148 Open Math. 15, 800-814 (2017). MSC: 05C63 05C12 05A20 PDF BibTeX XML Cite \textit{J. M. Rodríguez} and \textit{J. M. Sigarreta}, Open Math. 15, 800--814 (2017; Zbl 1367.05148) Full Text: DOI
Mokhtar, Hamid A few families of Cayley graphs and their efficiency as communication networks. (Abstract of thesis). (English) Zbl 1402.05099 Bull. Aust. Math. Soc. 95, No. 3, 518-520 (2017). MSC: 05C25 90B18 90C27 PDF BibTeX XML Cite \textit{H. Mokhtar}, Bull. Aust. Math. Soc. 95, No. 3, 518--520 (2017; Zbl 1402.05099) Full Text: DOI
Bogdanowicz, Zbigniew R. Isomorphism between circulants and Cartesian products of cycles. (English) Zbl 1365.05248 Discrete Appl. Math. 226, 40-43 (2017). MSC: 05C76 05C38 05C20 PDF BibTeX XML Cite \textit{Z. R. Bogdanowicz}, Discrete Appl. Math. 226, 40--43 (2017; Zbl 1365.05248) Full Text: DOI
Xu, Jing Circulant homogeneous factorisations of complete digraphs \(\mathbf K_{p^{d}}\) with \(p\) an odd prime. (English) Zbl 1364.05037 Electron. J. Comb. 24, No. 2, Research Paper P2.27, 15 p. (2017). MSC: 05C25 20B25 PDF BibTeX XML Cite \textit{J. Xu}, Electron. J. Comb. 24, No. 2, Research Paper P2.27, 15 p. (2017; Zbl 1364.05037) Full Text: Link
Pal, Hiranmoy; Bhattacharjya, Bikash Pretty good state transfer on circulant graphs. (English) Zbl 1364.05027 Electron. J. Comb. 24, No. 2, Research Paper P2.23, 13 p. (2017). MSC: 05C12 05C50 PDF BibTeX XML Cite \textit{H. Pal} and \textit{B. Bhattacharjya}, Electron. J. Comb. 24, No. 2, Research Paper P2.23, 13 p. (2017; Zbl 1364.05027) Full Text: Link arXiv
Giudici, Michael; Kovács, István; Li, Cai Heng; Verret, Gabriel Cubic arc-transitive \(k\)-multicirculants. (English) Zbl 1362.05058 J. Comb. Theory, Ser. B 125, 80-94 (2017). MSC: 05C25 05C60 PDF BibTeX XML Cite \textit{M. Giudici} et al., J. Comb. Theory, Ser. B 125, 80--94 (2017; Zbl 1362.05058) Full Text: DOI
Blake, Samuel T.; Tirkel, Andrew Z. A multi-dimensional block-circulant perfect array construction. (English) Zbl 1362.05126 Adv. Math. Commun. 11, No. 2, 367-371 (2017). MSC: 05E05 05E10 05E15 05E18 05E30 05E40 05E45 PDF BibTeX XML Cite \textit{S. T. Blake} and \textit{A. Z. Tirkel}, Adv. Math. Commun. 11, No. 2, 367--371 (2017; Zbl 1362.05126) Full Text: DOI
Fitzpatrick, Shannon L.; Larkin, John Paul The game of Cops and Robber on circulant graphs. (English) Zbl 1361.05081 Discrete Appl. Math. 225, 64-73 (2017). MSC: 05C57 91A43 91A24 PDF BibTeX XML Cite \textit{S. L. Fitzpatrick} and \textit{J. P. Larkin}, Discrete Appl. Math. 225, 64--73 (2017; Zbl 1361.05081) Full Text: DOI
Feng, Rongquan; Huang, He; Zhou, Sanming Perfect codes in circulant graphs. (English) Zbl 1361.05129 Discrete Math. 340, No. 7, 1522-1527 (2017). MSC: 05C85 05C69 05C25 94B60 PDF BibTeX XML Cite \textit{R. Feng} et al., Discrete Math. 340, No. 7, 1522--1527 (2017; Zbl 1361.05129) Full Text: DOI arXiv
Deng, Yun-Ping; Sun, Yu-Qin; Liu, Qiong; Wang, Hai-Chao Efficient dominating sets in circulant graphs. (English) Zbl 1361.05094 Discrete Math. 340, No. 7, 1503-1507 (2017). MSC: 05C69 05C25 PDF BibTeX XML Cite \textit{Y.-P. Deng} et al., Discrete Math. 340, No. 7, 1503--1507 (2017; Zbl 1361.05094) Full Text: DOI
Blázquez-Sanz, David; Marín Arango, Carlos Alberto Closed and asymptotic formulas for energy of some circulant graphs. (English) Zbl 1360.05087 Linear Multilinear Algebra 65, No. 6, 1073-1079 (2017). MSC: 05C35 05C50 42A05 PDF BibTeX XML Cite \textit{D. Blázquez-Sanz} and \textit{C. A. Marín Arango}, Linear Multilinear Algebra 65, No. 6, 1073--1079 (2017; Zbl 1360.05087) Full Text: DOI
Godinho, Aloysius; Singh, T. Group distance magic labeling of \(C_n^r\). (English) Zbl 06702487 Gaur, Daya (ed.) et al., Algorithms and discrete applied mathematics. Third international conference, CALDAM 2017, Sancoale, Goa, India, February 16–18, 2017. Proceedings. Cham: Springer (ISBN 978-3-319-53006-2/pbk; 978-3-319-53007-9/ebook). Lecture Notes in Computer Science 10156, 187-192 (2017). MSC: 68Wxx PDF BibTeX XML Cite \textit{A. Godinho} and \textit{T. Singh}, Lect. Notes Comput. Sci. 10156, 187--192 (2017; Zbl 06702487) Full Text: DOI
Vetrík, Tomáš The metric dimension of circulant graphs. (English) Zbl 1359.05064 Can. Math. Bull. 60, No. 1, 206-216 (2017). MSC: 05C35 05C12 PDF BibTeX XML Cite \textit{T. Vetrík}, Can. Math. Bull. 60, No. 1, 206--216 (2017; Zbl 1359.05064) Full Text: DOI
Kocharovsky, Vitaly V.; Vl. V. Kocharovsky, Vladimir V. On the permanents of circulant and degenerate Schur matrices. (English) Zbl 1358.15005 Linear Algebra Appl. 519, 366-381 (2017). MSC: 15A15 15B05 05A18 05A30 11D04 11D45 82B20 PDF BibTeX XML Cite \textit{V. V. Kocharovsky} and \textit{V. V. Vl. V. Kocharovsky}, Linear Algebra Appl. 519, 366--381 (2017; Zbl 1358.15005) Full Text: DOI
Bolaños-Servin, Jorge R.; Carbone, Raffaella; Quezada, Roberto On reducibility and spectral properties of circulant Markov processes. (English) Zbl 1416.60075 Stat. Probab. Lett. 123, 27-33 (2017). MSC: 60J27 05C81 PDF BibTeX XML Cite \textit{J. R. Bolaños-Servin} et al., Stat. Probab. Lett. 123, 27--33 (2017; Zbl 1416.60075) Full Text: DOI
Grassl, Markus; Harada, Masaaki New self-dual additive \(\mathbb{F}_4\)-codes constructed from circulant graphs. (English) Zbl 1407.94188 Discrete Math. 340, No. 3, 399-403 (2017). MSC: 94B25 05C50 11T71 PDF BibTeX XML Cite \textit{M. Grassl} and \textit{M. Harada}, Discrete Math. 340, No. 3, 399--403 (2017; Zbl 1407.94188) Full Text: DOI arXiv
Evdokimov, S.; Ponomarenko, I. On the separability problem for circulant S-rings. (English. Russian original) Zbl 1384.20004 St. Petersbg. Math. J. 28, No. 1, 21-35 (2017); translation from Algebra Anal. 28, No. 1, 32-51 (2016). MSC: 20C05 05E15 05C25 20B25 PDF BibTeX XML Cite \textit{S. Evdokimov} and \textit{I. Ponomarenko}, St. Petersbg. Math. J. 28, No. 1, 21--35 (2017; Zbl 1384.20004); translation from Algebra Anal. 28, No. 1, 32--51 (2016) Full Text: DOI
D’Angeli, Daniele; Donno, Alfredo Wreath product of matrices. (English) Zbl 1391.15083 Linear Algebra Appl. 513, 276-303 (2017). MSC: 15A69 05C50 05C76 05C81 15A18 PDF BibTeX XML Cite \textit{D. D'Angeli} and \textit{A. Donno}, Linear Algebra Appl. 513, 276--303 (2017; Zbl 1391.15083) Full Text: DOI arXiv
Ward, David Conjugate \(p\)-elements of full support that generate the wreath product \(C_p \wr C_p\). (English) Zbl 07249011 Int. J. Group Theory 5, No. 3, 9-35 (2016). MSC: 20D60 05C25 20E22 PDF BibTeX XML Cite \textit{D. Ward}, Int. J. Group Theory 5, No. 3, 9--35 (2016; Zbl 07249011) Full Text: DOI
Mathew, George Equivalent circulant graphs associated with a binary cyclic code. (English) Zbl 1388.05087 Ultra Sci. Phys. Sci., Sect. A 28, No. 5, 251-258 (2016). MSC: 05C25 05C50 94B99 PDF BibTeX XML Cite \textit{G. Mathew}, Ultra Sci. Phys. Sci., Sect. A 28, No. 5, 251--258 (2016; Zbl 1388.05087) Full Text: DOI
Mathew, George Directed circulant graphs and binary cyclic codes. (English) Zbl 1390.05135 Ultra Sci. Phys. Sci., Sect. A 28, No. 4, 197-203 (2016). MSC: 05C50 PDF BibTeX XML Cite \textit{G. Mathew}, Ultra Sci. Phys. Sci., Sect. A 28, No. 4, 197--203 (2016; Zbl 1390.05135)
Zhou, Houqing Resolvent Estrada index for circulant graphs. (Chinese. English summary) Zbl 1374.05158 J. Zhejiang Univ., Sci. Ed. 43, No. 5, 517-520 (2016). MSC: 05C50 05C82 PDF BibTeX XML Cite \textit{H. Zhou}, J. Zhejiang Univ., Sci. Ed. 43, No. 5, 517--520 (2016; Zbl 1374.05158) Full Text: DOI
Sander, Jürgen; Sander, Torsten Recent developments on the edge between number theory and graph theory. (English) Zbl 1366.05050 Sander, Jürgen (ed.) et al., From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer (ISBN 978-3-319-28202-2/hbk; 978-3-319-28203-9/ebook). 405-425 (2016). MSC: 05C25 05C50 11A25 11L03 PDF BibTeX XML Cite \textit{J. Sander} and \textit{T. Sander}, in: From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer. 405--425 (2016; Zbl 1366.05050) Full Text: DOI