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 07539090 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 07539090) Full Text: DOI OpenURL
El-Mesady, A.; Farahat, T. Orthogonal labeling for some different infinite graph classes. (English) Zbl 07534646 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 07534646) Full Text: DOI OpenURL
Huang, Jia Domination ratio of a family of integer distance digraphs with arbitrary degree. (English) Zbl 07533116 Discrete Appl. Math. 317, 1-9 (2022). MSC: 05C69 05C25 05C20 05C12 05C07 PDF BibTeX XML Cite \textit{J. Huang}, Discrete Appl. Math. 317, 1--9 (2022; Zbl 07533116) Full Text: DOI OpenURL
Pal, Hiranmoy Laplacian state transfer on graphs with an edge perturbation between twin vertices. (English) Zbl 07527684 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 07527684) Full Text: DOI OpenURL
Pérez-Rosés, Hebert; Bras-Amorós, Maria; Serradilla-Merinero, José Miguel Greedy routing in circulant networks. (English) Zbl 07510844 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 07510844) Full Text: DOI OpenURL
Kharaghani, Hadi; Suda, Sho; Tayfeh-Rezaie, Behruz Disjoint weighing matrices. (English) Zbl 07490047 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 07490047) Full Text: DOI arXiv OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
Anand, Sonica; Roy, Amit Graded Betti numbers of some families of circulant graphs. (English) Zbl 07524112 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 07524112) Full Text: DOI Link OpenURL
Monakhova, E. A. Series of families of degree six circulant graphs. (Russian. English summary) Zbl 07504249 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 07504249) Full Text: DOI MNR OpenURL
Hujdurović, Ademir; Mitrović, Đorđe; Morris, Dave Witte On automorphisms of the double cover of a circulant graph. (English) Zbl 07503014 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 07503014) Full Text: DOI OpenURL
Hacioglu, Ilhan; Bulut, Alper; Kaskaloglu, Kerem The minimal and maximal energies of all cubic circulant graphs. (English) Zbl 07482933 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 07482933) Full Text: DOI OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
Pan, Jiangmin; Yin, Fugang Finite edge-transitive bi-circulants. (English) Zbl 07424163 Appl. Math. Comput. 405, Article ID 126268, 9 p. (2021). MSC: 20B15 20B30 05C25 PDF BibTeX XML Cite \textit{J. Pan} and \textit{F. Yin}, Appl. Math. Comput. 405, Article ID 126268, 9 p. (2021; Zbl 07424163) Full Text: DOI OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
Tamizh Chelvam, T.; Sivagami, M. Structure and substructure connectivity of circulant graphs and hypercubes. (English) Zbl 07379469 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 07379469) Full Text: DOI OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
Rinaldo, Giancarlo; Romeo, Francesco 2-Dimensional vertex decomposable circulant graphs. (English) Zbl 07391113 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 07391113) Full Text: arXiv OpenURL
Ahsan, Muhammad; Zahid, Zohaib; Zafar, Sohail Edge metric dimension of some classes of circulant graphs. (English) Zbl 07376174 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 07376174) Full Text: DOI OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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: 68M10 68R10 05C99 PDF BibTeX XML Cite \textit{E. A. Monakhova}, Prikl. Diskretn. Mat. 2020, No. 49, 108--119 (2020; Zbl 07312028) Full Text: DOI MNR OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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) OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
Du Toit, L.; Vetrík, T. On the metric dimension of circulant graphs with \(2\) generators. (English) Zbl 07390801 Kragujevac J. Math. 43, No. 1, 49-58 (2019). MSC: 05C12 05C35 PDF BibTeX XML Cite \textit{L. Du Toit} and \textit{T. Vetrík}, Kragujevac J. Math. 43, No. 1, 49--58 (2019; Zbl 07390801) Full Text: Link OpenURL
Garcia, Rebecca E.; Harris, Pamela E.; Kubik, Bethany; Talbott, Shannon Block circulant graphs and the graphs of critical pairs of crowns. (English) Zbl 1467.05074 Electron. J. Graph Theory Appl. 7, No. 2, 207-216 (2019). MSC: 05C15 06A06 06A07 PDF BibTeX XML Cite \textit{R. E. Garcia} et al., Electron. J. Graph Theory Appl. 7, No. 2, 207--216 (2019; Zbl 1467.05074) Full Text: DOI arXiv OpenURL
Seyedi, Narjes; Maimani, Hamid Reza Fault-tolerant metric dimension of circulant graphs. (English) Zbl 1474.05119 Facta Univ., Ser. Math. Inf. 34, No. 4, 781-788 (2019). MSC: 05C12 PDF BibTeX XML Cite \textit{N. Seyedi} and \textit{H. R. Maimani}, Facta Univ., Ser. Math. Inf. 34, No. 4, 781--788 (2019; Zbl 1474.05119) Full Text: DOI OpenURL
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 OpenURL
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) OpenURL
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 OpenURL
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 arXiv OpenURL
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 OpenURL
Kagan, Mikhail; Mata, Brian A physics perspective on the resistance distance for graphs. (English) Zbl 1474.94102 Math. Comput. Sci. 13, No. 1-2, 105-115 (2019). MSC: 94C05 05C12 05C50 05C81 PDF BibTeX XML Cite \textit{M. Kagan} and \textit{B. Mata}, Math. Comput. Sci. 13, No. 1--2, 105--115 (2019; Zbl 1474.94102) Full Text: DOI OpenURL
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 OpenURL
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 OpenURL
Qian, Liqin; Shi, Minjia; Solé, Patrick On self-dual and LCD quasi-twisted codes of index two over a special chain ring. (English) Zbl 1459.94170 Cryptogr. Commun. 11, No. 4, 717-734 (2019). MSC: 94B15 05E30 94B25 PDF BibTeX XML Cite \textit{L. Qian} et al., Cryptogr. Commun. 11, No. 4, 717--734 (2019; Zbl 1459.94170) Full Text: DOI HAL OpenURL
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 OpenURL
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 OpenURL
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: arXiv Link OpenURL
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 OpenURL
Ghorbani, Modjtaba; Larki, Farzaneh Nowroozi On the spectrum of finite Cayley graphs. (English) Zbl 1481.05095 J. Discrete Math. Sci. Cryptography 21, No. 1, 83-112 (2018). MSC: 05C50 05C25 20C15 PDF BibTeX XML Cite \textit{M. Ghorbani} and \textit{F. N. Larki}, J. Discrete Math. Sci. Cryptography 21, No. 1, 83--112 (2018; Zbl 1481.05095) Full Text: DOI OpenURL
Bašić, Milan Hamiltonian properties on a class of circulant interconnection networks. (English) Zbl 07433872 Filomat 32, No. 1, 71-85 (2018). MSC: 05C45 05C82 05C25 05C38 68M10 11A07 68R05 PDF BibTeX XML Cite \textit{M. Bašić}, Filomat 32, No. 1, 71--85 (2018; Zbl 07433872) Full Text: DOI OpenURL
Ali, Faisal; Hafeez, Abdul; Salman, Muhammad; Huang, Shuliang On computation of some distance-based topological indices of circulant networks. (English) Zbl 07406405 Hacet. J. Math. Stat. 47, No. 6, 1427-1437 (2018). MSC: 05C09 05C12 05C92 92E10 PDF BibTeX XML Cite \textit{F. Ali} et al., Hacet. J. Math. Stat. 47, No. 6, 1427--1437 (2018; Zbl 07406405) Full Text: Link OpenURL
Hacioglu, Ilhan; Kaskaloglu, Kerem On the rank of the Doob graph and its complement. (English) Zbl 1463.05334 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 1463.05334) Full Text: Link OpenURL
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 OpenURL
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) OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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) OpenURL
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 OpenURL
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); correction ibid. 37, No. 4, 867-868 (2021). 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 OpenURL
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) OpenURL
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 OpenURL
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 OpenURL
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) OpenURL
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 arXiv OpenURL
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 OpenURL
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 arXiv OpenURL