Konvalinka, Matjaž; Pak, Igor Triangulations of Cayley and Tutte polytopes. (English. French summary) Zbl 1412.05096 Proceedings of the 24th international conference on formal power series and algebraic combinatorics, FPSAC 2012, Nagoya, Japan, July 30–August 3, 2012. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 469-480 (2012). MSC: 05C30 05C40 05C31 52B11 PDFBibTeX XMLCite \textit{M. Konvalinka} and \textit{I. Pak}, in: Proceedings of the 24th international conference on formal power series and algebraic combinatorics, FPSAC 2012, Nagoya, Japan, July 30--August 3, 2012. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 469--480 (2012; Zbl 1412.05096) Full Text: Link
Bhattacharyya, Arnab; Grigorescu, Elena; Raghavendra, Prasad; Shapira, Asaf Testing odd-cycle-freeness in Boolean functions. (English) Zbl 1423.68321 Rabani, Yuval (ed.), Proceedings of the 23rd annual ACM-SIAM symposium on discrete algorithms, SODA 2012, Kyoto, Japan, January 17–19, 2012. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 1140-1149 (2012). MSC: 68Q87 05C42 06E30 68R10 68W20 PDFBibTeX XMLCite \textit{A. Bhattacharyya} et al., in: Proceedings of the 23rd annual ACM-SIAM symposium on discrete algorithms, SODA 2012, Kyoto, Japan, January 17--19, 2012. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 1140--1149 (2012; Zbl 1423.68321) Full Text: Link
Chelvam, Thirugnanam Tamizh; Raja, Sekar; Gutman, Ivan Strongly regular integral circulant graphs and their energies. (English) Zbl 1451.05137 Bull. Int. Math. Virtual Inst. 2, No. 1, 9-16 (2012). MSC: 05C50 05C25 05E30 PDFBibTeX XMLCite \textit{T. T. Chelvam} et al., Bull. Int. Math. Virtual Inst. 2, No. 1, 9--16 (2012; Zbl 1451.05137)
Parmenter, M. M. Pancyclic Cayley graphs. (English) Zbl 1374.05117 Serdica Math. J. 38, No. 1-3, 37-42 (2012). Reviewer: Ivo M. Michailov (Shumen) MSC: 05C25 20K01 05C45 PDFBibTeX XMLCite \textit{M. M. Parmenter}, Serdica Math. J. 38, No. 1--3, 37--42 (2012; Zbl 1374.05117) Full Text: Link
Morris, Dave Witte 2-generated Cayley digraphs on nilpotent groups have Hamiltonian paths. (English) Zbl 1317.05074 Contrib. Discrete Math. 7, No. 1, 41-47 (2012). MSC: 05C20 05C25 05C45 20D15 PDFBibTeX XMLCite \textit{D. W. Morris}, Contrib. Discrete Math. 7, No. 1, 41--47 (2012; Zbl 1317.05074) Full Text: arXiv
Ribeiro, André da C.; Kowada, Luis Antonio B.; de Figueiredo, Celina M. H. Two families of Cayley graph interconnection networks. (English) Zbl 1314.05095 Mat. Contemp. 42, 105-114 (2012). MSC: 05C25 90B10 60K35 60F05 05C82 PDFBibTeX XMLCite \textit{A. da C. Ribeiro} et al., Mat. Contemp. 42, 105--114 (2012; Zbl 1314.05095)
Burcsi, Péter Analysis of the picture cube puzzle. (English) Zbl 1304.05068 Acta Univ. Sapientiae, Inform. 4, No. 1, 119-129 (2012). MSC: 05C25 05C12 PDFBibTeX XMLCite \textit{P. Burcsi}, Acta Univ. Sapientiae, Inform. 4, No. 1, 119--129 (2012; Zbl 1304.05068) Full Text: arXiv
Loghman, Amir Computing Wiener and hyper-Wiener indices of unitary Cayley graphs. (English) Zbl 1293.05084 Iran. J. Math. Chem. 3, No. 2, 121-125 (2012). MSC: 05C12 05C07 92E10 PDFBibTeX XMLCite \textit{A. Loghman}, Iran. J. Math. Chem. 3, No. 2, 121--125 (2012; Zbl 1293.05084) Full Text: Link
Wang, Tao-Ming; Zhang, Guang-Hui On antimagic labeling of odd regular graphs. (English) Zbl 1293.05345 Arumugam, S. (ed.) et al., Combinatorial algorithms. 23rd international workshop, IWOCA 2012, Tamil Nadu, India, July 19–21, 2012. Revised selected papers. Berlin: Springer (ISBN 978-3-642-35925-5/pbk). Lecture Notes in Computer Science 7643, 162-168 (2012). MSC: 05C78 05C25 05C70 PDFBibTeX XMLCite \textit{T.-M. Wang} and \textit{G.-H. Zhang}, Lect. Notes Comput. Sci. 7643, 162--168 (2012; Zbl 1293.05345) Full Text: DOI
Schlage-Puchta, Jan-Christoph Applications of character estimates to statistical problems for symmetric group. (English) Zbl 1299.05166 Combinatorica 32, No. 3, 309-323 (2012). Reviewer: Václav Koubek (Praha) MSC: 05C25 20B30 60C05 68W20 05A05 PDFBibTeX XMLCite \textit{J.-C. Schlage-Puchta}, Combinatorica 32, No. 3, 309--323 (2012; Zbl 1299.05166) Full Text: DOI
Lladser, Manuel E.; Potocnik, Primoz; Širáň, Jozef; Wilson, Mark C. Random Cayley digraphs of diameter 2 and given degree. (English) Zbl 1283.05251 Discrete Math. Theor. Comput. Sci. 14, No. 2, 83-90 (2012). MSC: 05C80 05C20 05C12 PDFBibTeX XMLCite \textit{M. E. Lladser} et al., Discrete Math. Theor. Comput. Sci. 14, No. 2, 83--90 (2012; Zbl 1283.05251) Full Text: Link
Lin, Limei; Zhou, Shuming Algebraic properties of arrangement graphs. (Chinese. English summary) Zbl 1289.05209 J. Fujian Norm. Univ., Nat. Sci. 28, No. 5, 11-13, 19 (2012). MSC: 05C25 PDFBibTeX XMLCite \textit{L. Lin} and \textit{S. Zhou}, J. Fujian Norm. Univ., Nat. Sci. 28, No. 5, 11--13, 19 (2012; Zbl 1289.05209)
Fan, Xinman; Gao, Xing; Yang, Dong On vertex-transitive Cayley graphs of completely simple periodic semigroups. (Chinese. English summary) Zbl 1289.05202 J. Lanzhou Univ., Nat. Sci. 48, No. 6, 102-104 (2012). MSC: 05C25 PDFBibTeX XMLCite \textit{X. Fan} et al., J. Lanzhou Univ., Nat. Sci. 48, No. 6, 102--104 (2012; Zbl 1289.05202)
Qing, Jianjun; Xu, Shangjin; Deng, Yunping The weak 3-CI property of dihedral groups of order \(4p\). (Chinese. English summary) Zbl 1289.05336 Math. Pract. Theory 42, No. 9, 115-121 (2012). MSC: 05C60 05C25 20F65 PDFBibTeX XMLCite \textit{J. Qing} et al., Math. Pract. Theory 42, No. 9, 115--121 (2012; Zbl 1289.05336)
Khashyarmanesh, K.; Khorsandi, M. R. A generalization of the unit and unitary Cayley graphs of a commutative ring. (English) Zbl 1289.05205 Acta Math. Hung. 137, No. 4, 242-253 (2012). Reviewer: Zoltán Halasi (Debrecen) MSC: 05C25 13E10 05C10 PDFBibTeX XMLCite \textit{K. Khashyarmanesh} and \textit{M. R. Khorsandi}, Acta Math. Hung. 137, No. 4, 242--253 (2012; Zbl 1289.05205) Full Text: DOI
Zhou, Jin Xin; Feng, Yan Quan Regular maps of graphs of order \(4p\). (English) Zbl 1268.05054 Acta Math. Sin., Engl. Ser. 28, No. 5, 989-1012 (2012). MSC: 05C10 05C25 20B25 PDFBibTeX XMLCite \textit{J. X. Zhou} and \textit{Y. Q. Feng}, Acta Math. Sin., Engl. Ser. 28, No. 5, 989--1012 (2012; Zbl 1268.05054) Full Text: DOI
Deza, Antoine; Franek, Frantisek; Liu, Min Jing On a conjecture of Erdős for multiplicities of cliques. (English) Zbl 1268.05147 J. Discrete Algorithms 17, 9-14 (2012). MSC: 05C69 PDFBibTeX XMLCite \textit{A. Deza} et al., J. Discrete Algorithms 17, 9--14 (2012; Zbl 1268.05147) Full Text: DOI
Xu, Shangjin; Zhang, Xiaojun; Kang, Zhe; Li, Jingjian Tetravalent connected half-transitive graphs of order \(qp^2\). (Chinese. English summary) Zbl 1274.05273 J. Guangxi Norm. Univ., Nat. Sci. 30, No. 2, 54-58 (2012). MSC: 05C40 05C25 PDFBibTeX XMLCite \textit{S. Xu} et al., J. Guangxi Norm. Univ., Nat. Sci. 30, No. 2, 54--58 (2012; Zbl 1274.05273)
Brown, Jason; Hoshino, Richard Line graphs and circulants. (English) Zbl 1274.05210 Ars Comb. 105, 463-476 (2012). MSC: 05C25 05C76 PDFBibTeX XMLCite \textit{J. Brown} and \textit{R. Hoshino}, Ars Comb. 105, 463--476 (2012; Zbl 1274.05210)
Hao, Yifei; Yang, Xiaomei; Jin, Niqianjun On transitive Cayley graphs of strong semilattices of rectangular groups. (English) Zbl 1274.05214 Ars Comb. 105, 183-192 (2012). MSC: 05C25 20M20 PDFBibTeX XMLCite \textit{Y. Hao} et al., Ars Comb. 105, 183--192 (2012; Zbl 1274.05214)
Spiga, Pablo Automorphism groups of tetravalent Cayley graphs on regular 5-groups. (English) Zbl 1274.05219 Ars Comb. 105, 33-43 (2012). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{P. Spiga}, Ars Comb. 105, 33--43 (2012; Zbl 1274.05219)
Klotz, Walter; Sander, Torsten Distance powers and distance matrices of integral Cayley graphs over abelian groups. (English) Zbl 1266.05058 Electron. J. Comb. 19, No. 4, Research Paper P25, 8 p. (2012). MSC: 05C25 05C50 05C12 PDFBibTeX XMLCite \textit{W. Klotz} and \textit{T. Sander}, Electron. J. Comb. 19, No. 4, Research Paper P25, 8 p. (2012; Zbl 1266.05058) Full Text: arXiv Link
Liu, Xiaogang; Zhou, Sanming Spectral properties of unitary Cayley graphs of finite commutative rings. (English) Zbl 1266.05082 Electron. J. Comb. 19, No. 4, Research Paper P13, 19 p. (2012). MSC: 05C50 05C25 PDFBibTeX XMLCite \textit{X. Liu} and \textit{S. Zhou}, Electron. J. Comb. 19, No. 4, Research Paper P13, 19 p. (2012; Zbl 1266.05082) Full Text: arXiv Link
Hartke, Stephen G.; Stolee, Derrick Uniquely \(K_r\)-saturated graphs. (English) Zbl 1266.05057 Electron. J. Comb. 19, No. 4, Research Paper P6, 39 p. (2012). MSC: 05C25 05C75 05C85 68R10 PDFBibTeX XMLCite \textit{S. G. Hartke} and \textit{D. Stolee}, Electron. J. Comb. 19, No. 4, Research Paper P6, 39 p. (2012; Zbl 1266.05057) Full Text: arXiv Link
Guo, Song-Tao; Feng, Yan-Quan Tetravalent symmetric graphs of order \(9p\). (English) Zbl 1266.05055 J. Korean Math. Soc. 49, No. 6, 1111-1121 (2012). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{S.-T. Guo} and \textit{Y.-Q. Feng}, J. Korean Math. Soc. 49, No. 6, 1111--1121 (2012; Zbl 1266.05055) Full Text: DOI Link
Pastine, Adrián; Jaume, Daniel On Hamilton circuits in Cayley digraphs over generalized dihedral groups. (English) Zbl 1273.05090 Rev. Unión Mat. Argent. 53, No. 2, 79-87 (2012). MSC: 05C20 05C25 05C45 PDFBibTeX XMLCite \textit{A. Pastine} and \textit{D. Jaume}, Rev. Unión Mat. Argent. 53, No. 2, 79--87 (2012; Zbl 1273.05090) Full Text: Link
Ruangnai, Monthiya; Panma, Sayan; Arworn, Srichan On Cayley isomorphisms of left and right groups. (English) Zbl 1260.05075 Int. J. Pure Appl. Math. 80, No. 4, 561-571 (2012). MSC: 05C25 05C20 05C60 20M99 PDFBibTeX XMLCite \textit{M. Ruangnai} et al., Int. J. Pure Appl. Math. 80, No. 4, 561--571 (2012; Zbl 1260.05075) Full Text: Link
Francos, María Del Río; Hubard, Isabel; Oliveros, Deborah; Schulte, Egon Symmetric graphicahedra. (English) Zbl 1264.51014 Ars Math. Contemp. 5, No. 2, 383-405 (2012). Reviewer: Peter McMullen (London) MSC: 51M20 05C15 PDFBibTeX XMLCite \textit{M. D. R. Francos} et al., Ars Math. Contemp. 5, No. 2, 383--405 (2012; Zbl 1264.51014) Full Text: DOI arXiv
Han, Hua; Lu, ZaiPing Semisymmetric graphs of order \(6p ^{2}\) and prime valency. (English) Zbl 1257.05059 Sci. China, Math. 55, No. 12, 2579-2592 (2012). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{H. Han} and \textit{Z. Lu}, Sci. China, Math. 55, No. 12, 2579--2592 (2012; Zbl 1257.05059) Full Text: DOI
Anil Kumar, V.; Shyama, M. P. A class of generalized Cayley digraphs induced by quasigroups. (English) Zbl 1258.05045 Theor. Math. Appl. 2, No. 1, 127-142 (2012). MSC: 05C25 20N05 PDFBibTeX XMLCite \textit{V. Anil Kumar} and \textit{M. P. Shyama}, Theor. Math. Appl. 2, No. 1, 127--142 (2012; Zbl 1258.05045)
Ghasemi, Mohsen Automorphism groups of tetravalent Cayley graphs on minimal non-abelian groups. (English) Zbl 1257.05058 Algebra Discrete Math. 13, No. 1, 52-58 (2012). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{M. Ghasemi}, Algebra Discrete Math. 13, No. 1, 52--58 (2012; Zbl 1257.05058)
Adiga, C.; Ariamanesh, Haidar Some properties of Cayley graphs on symmetric groups \(S_n\). (English) Zbl 1255.05092 Int. J. Algebra 6, No. 17-20, 807-813 (2012). MSC: 05C25 05E18 20B30 PDFBibTeX XMLCite \textit{C. Adiga} and \textit{H. Ariamanesh}, Int. J. Algebra 6, No. 17--20, 807--813 (2012; Zbl 1255.05092) Full Text: Link
Tian, Yingzhi; Meng, Jixiang; Liang, Xiaodong On super restricted edge connectivity of half vertex transitive graphs. (English) Zbl 1256.05104 Graphs Comb. 28, No. 2, 287-296 (2012). MSC: 05C25 05C40 PDFBibTeX XMLCite \textit{Y. Tian} et al., Graphs Comb. 28, No. 2, 287--296 (2012; Zbl 1256.05104) Full Text: DOI
Dean, Matthew Hamilton cycles in a family of graphs which includes the generalized Petersen graphs. (English) Zbl 1265.05343 Ars Comb. 103, 205-224 (2012). MSC: 05C45 PDFBibTeX XMLCite \textit{M. Dean}, Ars Comb. 103, 205--224 (2012; Zbl 1265.05343)
Stevens, Brett; Williams, Aaron Hamilton cycles in restricted and incomplete rotator graphs. (English) Zbl 1254.05093 J. Graph Algorithms Appl. 16, No. 4, 785-810 (2012). MSC: 05C45 05C25 68R10 PDFBibTeX XMLCite \textit{B. Stevens} and \textit{A. Williams}, J. Graph Algorithms Appl. 16, No. 4, 785--810 (2012; Zbl 1254.05093) Full Text: DOI
Zhou, Jin-Xin Tetravalent vertex-transitive graphs of order \(4p\). (English) Zbl 1280.05062 J. Graph Theory 71, No. 3-4, 402-415 (2012). MSC: 05C25 05C60 20B25 PDFBibTeX XMLCite \textit{J.-X. Zhou}, J. Graph Theory 71, No. 3--4, 402--415 (2012; Zbl 1280.05062) Full Text: DOI
Ghaderpour, Ebrahim; Morris, Dave Witte Cayley graphs of order \(30p\) are Hamiltonian. (English) Zbl 1273.05098 Discrete Math. 312, No. 24, 3614-3625 (2012). Reviewer: Sanming Zhou (Parkville) MSC: 05C25 05C45 PDFBibTeX XMLCite \textit{E. Ghaderpour} and \textit{D. W. Morris}, Discrete Math. 312, No. 24, 3614--3625 (2012; Zbl 1273.05098) Full Text: DOI arXiv
Adiga, C.; Asghar Talebi, A.; Ariamanesh, Haidar Some normal edge-transitive Cayley graphs on Frobenius groups \(F_{p,3}\). (English) Zbl 1260.05073 Adv. Stud. Contemp. Math., Kyungshang 22, No. 3, 439-443 (2012). MSC: 05C25 05E18 20C15 20C05 20C20 PDFBibTeX XMLCite \textit{C. Adiga} et al., Adv. Stud. Contemp. Math., Kyungshang 22, No. 3, 439--443 (2012; Zbl 1260.05073)
Phongchan, Saranya; Panma, Sayan; Arworn, Srichan On Cayley isomorphisms of Clifford semigroups. (English) Zbl 1252.05083 Int. J. Pure Appl. Math. 79, No. 4, 667-682 (2012). MSC: 05C25 05C20 05C60 15A66 PDFBibTeX XMLCite \textit{S. Phongchan} et al., Int. J. Pure Appl. Math. 79, No. 4, 667--682 (2012; Zbl 1252.05083) Full Text: Link
Grannell, M. J.; Knor, M. Biembedding abelian groups with mates having transversals. (English) Zbl 1252.05148 J. Comb. Des. 20, No. 1-2, 81-88 (2012). MSC: 05C60 05C25 05C15 05B15 05D15 PDFBibTeX XMLCite \textit{M. J. Grannell} and \textit{M. Knor}, J. Comb. Des. 20, No. 1--2, 81--88 (2012; Zbl 1252.05148) Full Text: DOI
Westlund, Erik E. Hamilton decompositions of certain 6-regular Cayley graphs on abelian groups with a cyclic subgroup of index two. (English) Zbl 1250.05090 Discrete Math. 312, No. 22, 3228-3235 (2012). MSC: 05C70 05C45 05C25 05C76 PDFBibTeX XMLCite \textit{E. E. Westlund}, Discrete Math. 312, No. 22, 3228--3235 (2012; Zbl 1250.05090) Full Text: DOI
Shekarriz, M. H.; Haghighi, M. H. Shirdareh; Sharif, H. On the total graph of a finite commutative ring. (English) Zbl 1266.13018 Commun. Algebra 40, No. 8, 2798-2807 (2012). Reviewer: Kuei-Nuan Lin (Riverside) MSC: 13M99 05C25 05C60 PDFBibTeX XMLCite \textit{M. H. Shekarriz} et al., Commun. Algebra 40, No. 8, 2798--2807 (2012; Zbl 1266.13018) Full Text: DOI arXiv
Li, Hengzhe; Yang, Weihua; Meng, Jixiang Fault-tolerant Hamiltonian laceability of Cayley graphs generated by transposition trees. (English) Zbl 1251.05077 Discrete Math. 312, No. 21, 3087-3095 (2012). MSC: 05C25 05C05 05C38 05C45 20B30 PDFBibTeX XMLCite \textit{H. Li} et al., Discrete Math. 312, No. 21, 3087--3095 (2012; Zbl 1251.05077) Full Text: DOI
Chelvam, T. Tamizh; Kalaimurugan, G.; Chou, Well Y. The signed star domination number of Cayley graphs. (English) Zbl 1251.05122 Discrete Math. Algorithms Appl. 4, No. 2, 1250017, 10 p. (2012). MSC: 05C69 05C25 05C20 PDFBibTeX XMLCite \textit{T. T. Chelvam} et al., Discrete Math. Algorithms Appl. 4, No. 2, 1250017, 10 p. (2012; Zbl 1251.05122) Full Text: DOI
Le, T. A.; Sander, J. W. Convolutions of Ramanujan sums and integral circulant graphs. (English) Zbl 1290.11003 Int. J. Number Theory 8, No. 7, 1777-1788 (2012). Reviewer: László Tóth (Pécs) MSC: 11A25 11L03 05C50 15A18 PDFBibTeX XMLCite \textit{T. A. Le} and \textit{J. W. Sander}, Int. J. Number Theory 8, No. 7, 1777--1788 (2012; Zbl 1290.11003) Full Text: DOI
Afkhami, Mojgan; Khashyarmanesh, Kazem On the cozero-divisor graphs of commutative rings and their complements. (English) Zbl 1251.05072 Bull. Malays. Math. Sci. Soc. (2) 35, No. 4, 935-944 (2012). MSC: 05C25 05C69 05C75 13A15 PDFBibTeX XMLCite \textit{M. Afkhami} and \textit{K. Khashyarmanesh}, Bull. Malays. Math. Sci. Soc. (2) 35, No. 4, 935--944 (2012; Zbl 1251.05072) Full Text: Link
Cheng, Eddie; Hu, Philip; Jia, Roger; Lipták, László Matching preclusion and conditional matching preclusion for bipartite interconnection networks. II: Cayley graphs generated by transposition trees and hyper-stars. (English) Zbl 1248.05155 Networks 59, No. 4, 357-364 (2012). MSC: 05C70 05C82 05C35 68M10 68R10 05C25 PDFBibTeX XMLCite \textit{E. Cheng} et al., Networks 59, No. 4, 357--364 (2012; Zbl 1248.05155) Full Text: DOI Link
Promsakon, C.; Panma, S. Connectedness of endo-Cayley digraphs of \(rigth(left)\) zero union of semigroups. (English) Zbl 1251.05088 Int. J. Pure Appl. Math. 77, No. 1, 51-62 (2012). MSC: 05C40 05C25 05C20 05C76 PDFBibTeX XMLCite \textit{C. Promsakon} and \textit{S. Panma}, Int. J. Pure Appl. Math. 77, No. 1, 51--62 (2012; Zbl 1251.05088) Full Text: Link
Puls, Michael J. Some results concerning the \(p\)-Royden and \(p\)-harmonic boundaries of a graph of bounded degree. (English) Zbl 1271.60084 Ann. Acad. Sci. Fenn., Math. 37, No. 1, 81-90 (2012). Reviewer: Hongyu He (Baton Rouge) MSC: 60J50 43A15 31C45 PDFBibTeX XMLCite \textit{M. J. Puls}, Ann. Acad. Sci. Fenn., Math. 37, No. 1, 81--90 (2012; Zbl 1271.60084) Full Text: DOI arXiv
Kovács, István; Servatius, Mary On Cayley digraphs on nonisomorphic 2-groups. (English) Zbl 1247.05102 J. Graph Theory 70, No. 4, 435-448 (2012). MSC: 05C25 05C20 05C60 PDFBibTeX XMLCite \textit{I. Kovács} and \textit{M. Servatius}, J. Graph Theory 70, No. 4, 435--448 (2012; Zbl 1247.05102) Full Text: DOI
Griggs, T. S.; Širáň, J.; Richter, R. B. Graphs obtained from Moufang loops and regular maps. (English) Zbl 1247.05099 J. Graph Theory 70, No. 4, 427-434 (2012). MSC: 05C25 05C10 20N05 PDFBibTeX XMLCite \textit{T. S. Griggs} et al., J. Graph Theory 70, No. 4, 427--434 (2012; Zbl 1247.05099) Full Text: DOI
Miklavič, Štefko; Šparl, Primož Hamilton cycle and Hamilton path extendability of Cayley graphs on abelian groups. (English) Zbl 1247.05130 J. Graph Theory 70, No. 4, 384-403 (2012). MSC: 05C45 05C25 PDFBibTeX XMLCite \textit{Š. Miklavič} and \textit{P. Šparl}, J. Graph Theory 70, No. 4, 384--403 (2012; Zbl 1247.05130) Full Text: DOI
Christofides, Demetres; Markstrom, Klas Random Latin square graphs. (English) Zbl 1247.05216 Random Struct. Algorithms 41, No. 1, 47-65 (2012). MSC: 05C80 05C25 05C69 05C15 05C45 05B15 PDFBibTeX XMLCite \textit{D. Christofides} and \textit{K. Markstrom}, Random Struct. Algorithms 41, No. 1, 47--65 (2012; Zbl 1247.05216) Full Text: DOI arXiv
Exoo, Geoffrey; Jajcay, Robert Recursive constructions of small regular graphs of given degree and girth. (English) Zbl 1246.05070 Discrete Math. 312, No. 17, 2612-2619 (2012). MSC: 05C25 05C07 05C10 PDFBibTeX XMLCite \textit{G. Exoo} and \textit{R. Jajcay}, Discrete Math. 312, No. 17, 2612--2619 (2012; Zbl 1246.05070) Full Text: DOI
Seamone, Ben; Stevens, Brett Spanning trees with specified differences in Cayley graphs. (English) Zbl 1246.05075 Discrete Math. 312, No. 17, 2561-2565 (2012). MSC: 05C25 05C05 05C45 05B35 PDFBibTeX XMLCite \textit{B. Seamone} and \textit{B. Stevens}, Discrete Math. 312, No. 17, 2561--2565 (2012; Zbl 1246.05075) Full Text: DOI
Sander, J. W.; Sander, T. The maximal energy of classes of integral circulant graphs. (English) Zbl 1246.05099 Discrete Appl. Math. 160, No. 13-14, 2015-2029 (2012). MSC: 05C50 05C35 05C25 PDFBibTeX XMLCite \textit{J. W. Sander} and \textit{T. Sander}, Discrete Appl. Math. 160, No. 13--14, 2015--2029 (2012; Zbl 1246.05099) Full Text: DOI arXiv
Le, T. A.; Sander, J. W. Extremal energies of integral circulant graphs via multiplicativity. (English) Zbl 1243.05150 Linear Algebra Appl. 437, No. 6, 1408-1421 (2012). MSC: 05C50 11A25 11L03 15A18 PDFBibTeX XMLCite \textit{T. A. Le} and \textit{J. W. Sander}, Linear Algebra Appl. 437, No. 6, 1408--1421 (2012; Zbl 1243.05150) Full Text: DOI
Byrne, Eimear; Kiermaier, Michael; Sneyd, Alison Properties of codes with two homogeneous weights. (English) Zbl 1245.05135 Finite Fields Appl. 18, No. 4, 711-727 (2012). MSC: 05E30 05C25 94B25 94B60 94B99 94B05 PDFBibTeX XMLCite \textit{E. Byrne} et al., Finite Fields Appl. 18, No. 4, 711--727 (2012; Zbl 1245.05135) Full Text: DOI arXiv
Conder, Marston D. E.; Feng, Yan-Quan Arc-regular cubic graphs of order four times an odd integer. (English) Zbl 1245.05062 J. Algebr. Comb. 36, No. 1, 21-31 (2012). MSC: 05C25 20F65 PDFBibTeX XMLCite \textit{M. D. E. Conder} and \textit{Y.-Q. Feng}, J. Algebr. Comb. 36, No. 1, 21--31 (2012; Zbl 1245.05062) Full Text: DOI
Candellero, Elisabetta; Gilch, Lorenz A.; Müller, Sebastian Branching random walks on free products of groups. (English) Zbl 1244.05210 Proc. Lond. Math. Soc. (3) 104, No. 6, 1085-1120 (2012). MSC: 05C81 05C76 60J10 60J80 37F35 20E06 PDFBibTeX XMLCite \textit{E. Candellero} et al., Proc. Lond. Math. Soc. (3) 104, No. 6, 1085--1120 (2012; Zbl 1244.05210) Full Text: DOI arXiv
Ellenberg, Jordan S.; Hall, Chris; Kowalski, Emmanuel Expander graphs, gonality, and variation of Galois representations. (English) Zbl 1262.14021 Duke Math. J. 161, No. 7, 1233-1275 (2012). Reviewer: Andrew Obus (New York) MSC: 14G05 14D10 05C40 05C50 14K15 14D05 35P15 PDFBibTeX XMLCite \textit{J. S. Ellenberg} et al., Duke Math. J. 161, No. 7, 1233--1275 (2012; Zbl 1262.14021) Full Text: DOI arXiv Euclid
Kutnar, K.; Marušič, D.; Morris, D. W.; Morris, J.; Šparl, Primož Hamiltonian cycles in Cayley graphs whose order has few prime factors. (English) Zbl 1247.05103 Ars Math. Contemp. 5, No. 1, 27-71 (2012). MSC: 05C25 05C45 PDFBibTeX XMLCite \textit{K. Kutnar} et al., Ars Math. Contemp. 5, No. 1, 27--71 (2012; Zbl 1247.05103) Full Text: DOI arXiv
Li, Cai Heng; Liu, Zhe; Lu, Zai Ping The edge-transitive tetravalent Cayley graphs of square-free order. (English) Zbl 1243.05109 Discrete Math. 312, No. 12-13, 1952-1967 (2012). MSC: 05C25 PDFBibTeX XMLCite \textit{C. H. Li} et al., Discrete Math. 312, No. 12--13, 1952--1967 (2012; Zbl 1243.05109) Full Text: DOI
Zhou, Jin-Xin; Li, Yan-Tao Cubic non-normal Cayley graphs of order \(4p^2\). (English) Zbl 1244.05117 Discrete Math. 312, No. 12-13, 1940-1946 (2012). MSC: 05C25 05C07 05C60 20B25 PDFBibTeX XMLCite \textit{J.-X. Zhou} and \textit{Y.-T. Li}, Discrete Math. 312, No. 12--13, 1940--1946 (2012; Zbl 1244.05117) Full Text: DOI
Fang, Xin Gui; Zhou, Sanming Gossiping and routing in second-kind Frobenius graphs. (English) Zbl 1244.05113 Eur. J. Comb. 33, No. 6, 1001-1014 (2012). MSC: 05C25 30B99 68R10 68M10 PDFBibTeX XMLCite \textit{X. G. Fang} and \textit{S. Zhou}, Eur. J. Comb. 33, No. 6, 1001--1014 (2012; Zbl 1244.05113) Full Text: DOI
Kovács, István; Kuzman, Boštjan; Malnič, Aleksander; Wilson, Steve Characterization of edge-transitive 4-valent bicirculants. (English) Zbl 1242.05121 J. Graph Theory 69, No. 3-4, 441-463 (2012). MSC: 05C25 05C60 PDFBibTeX XMLCite \textit{I. Kovács} et al., J. Graph Theory 69, No. 3--4, 441--463 (2012; Zbl 1242.05121) Full Text: DOI
Kiani, Dariush; Aghaei, Mohsen Molla Haji On the unitary Cayley graph of a ring. (English) Zbl 1264.05066 Electron. J. Comb. 19, No. 2, Research Paper P10, 10 p. (2012). MSC: 05C25 13A99 PDFBibTeX XMLCite \textit{D. Kiani} and \textit{M. M. H. Aghaei}, Electron. J. Comb. 19, No. 2, Research Paper P10, 10 p. (2012; Zbl 1264.05066) Full Text: EMIS
Dobson, Edward The full automorphism group of Cayley graphs of \(\mathbb{Z}_p\times\mathbb{Z}_{p^2}\). (English) Zbl 1243.05104 Electron. J. Comb. 19, No. 1, Research Paper P59, 17 p. (2012). MSC: 05C25 05C60 20B25 PDFBibTeX XMLCite \textit{E. Dobson}, Electron. J. Comb. 19, No. 1, Research Paper P59, 17 p. (2012; Zbl 1243.05104) Full Text: EMIS
Zhou, Jin-Xin; Feng, Yan-Quan Cubic vertex-transitive non-Cayley graphs of order \(8p\). (English) Zbl 1243.05111 Electron. J. Comb. 19, No. 1, Research Paper P53, 13 p. (2012). MSC: 05C25 05C60 20B25 PDFBibTeX XMLCite \textit{J.-X. Zhou} and \textit{Y.-Q. Feng}, Electron. J. Comb. 19, No. 1, Research Paper P53, 13 p. (2012; Zbl 1243.05111) Full Text: EMIS
Chelvam, T. Tamizh; Kalaimurugan, G. Bounds for domination parameters in Cayley graphs on dihedral group. (English) Zbl 1242.05118 Open J. Discrete Math. 2, No. 1, 5-10 (2012). MSC: 05C25 05C69 PDFBibTeX XMLCite \textit{T. T. Chelvam} and \textit{G. Kalaimurugan}, Open J. Discrete Math. 2, No. 1, 5--10 (2012; Zbl 1242.05118) Full Text: DOI
Afkhami, Mojgan; Khashyarmanesh, Kazem; Nafar, Khosro Generalized Cayley graphs associated to commutative rings. (English) Zbl 1242.05116 Linear Algebra Appl. 437, No. 3, 1040-1049 (2012). MSC: 05C25 05C10 13A99 PDFBibTeX XMLCite \textit{M. Afkhami} et al., Linear Algebra Appl. 437, No. 3, 1040--1049 (2012; Zbl 1242.05116) Full Text: DOI
Krakovski, Roi; Mohar, Bojan Spectrum of Cayley graphs on the symmetric group generated by transpositions. (English) Zbl 1243.05149 Linear Algebra Appl. 437, No. 3, 1033-1039 (2012). MSC: 05C50 05C25 PDFBibTeX XMLCite \textit{R. Krakovski} and \textit{B. Mohar}, Linear Algebra Appl. 437, No. 3, 1033--1039 (2012; Zbl 1243.05149) Full Text: DOI arXiv
Fidaleo, Francesco Corrigendum to “Harmonic analysis on perturbed Cayley trees”. (English) Zbl 1307.47012 J. Funct. Anal. 262, No. 10, 4634-4637 (2012). MSC: 47A55 82B20 94C15 05C90 PDFBibTeX XMLCite \textit{F. Fidaleo}, J. Funct. Anal. 262, No. 10, 4634--4637 (2012; Zbl 1307.47012) Full Text: DOI
Miasnikov, Alexei; Šunić, Zoran Cayley graph automatic groups are not necessarily Cayley graph biautomatic. (English) Zbl 1351.20019 Dediu, Adrian-Horia (ed.) et al., Language and automata theory and applications. 6th international conference, LATA 2012, A Coruña, Spain, March 5–9, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-28331-4/pbk). Lecture Notes in Computer Science 7183, 401-407 (2012). MSC: 20F10 05C25 PDFBibTeX XMLCite \textit{A. Miasnikov} and \textit{Z. Šunić}, Lect. Notes Comput. Sci. 7183, 401--407 (2012; Zbl 1351.20019) Full Text: DOI arXiv
Wang, Xiuyun; Feng, Yan-Quan Tetravalent half-edge-transitive graphs and non-normal Cayley graphs. (English) Zbl 1242.05123 J. Graph Theory 70, No. 2, 197-213 (2012). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{X. Wang} and \textit{Y.-Q. Feng}, J. Graph Theory 70, No. 2, 197--213 (2012; Zbl 1242.05123) Full Text: DOI
Devroye, Luc Simulating size-constrained Galton-Watson trees. (English) Zbl 1243.65005 SIAM J. Comput. 41, No. 1, 1-11 (2012). MSC: 65C10 05C80 11K45 PDFBibTeX XMLCite \textit{L. Devroye}, SIAM J. Comput. 41, No. 1, 1--11 (2012; Zbl 1243.65005) Full Text: DOI
Šiagiová, Jana; Širáň, Jozef Approaching the Moore bound for diameter two by Cayley graphs. (English) Zbl 1237.05101 J. Comb. Theory, Ser. B 102, No. 2, 470-473 (2012). MSC: 05C25 05C05 05C12 PDFBibTeX XMLCite \textit{J. Šiagiová} and \textit{J. Širáň}, J. Comb. Theory, Ser. B 102, No. 2, 470--473 (2012; Zbl 1237.05101) Full Text: DOI
Khosravi, Behnam; Khosravi, Bahman A characterization of Cayley graphs of Brandt semigroups. (English) Zbl 1236.05104 Bull. Malays. Math. Sci. Soc. (2) 35, No. 2, 399-410 (2012). MSC: 05C25 05C75 05C20 PDFBibTeX XMLCite \textit{B. Khosravi} and \textit{B. Khosravi}, Bull. Malays. Math. Sci. Soc. (2) 35, No. 2, 399--410 (2012; Zbl 1236.05104) Full Text: Link
Vergnioux, Roland Paths in quantum Cayley trees and \(L^{2}\)-cohomology. (English) Zbl 1245.46054 Adv. Math. 229, No. 5, 2686-2711 (2012). MSC: 46L65 46L54 20G42 16E40 20F65 PDFBibTeX XMLCite \textit{R. Vergnioux}, Adv. Math. 229, No. 5, 2686--2711 (2012; Zbl 1245.46054) Full Text: DOI arXiv
Abas, Marcel Generalized Cayley maps and Hamiltonian maps of complete graphs. (English) Zbl 1238.05065 Discrete Math. 312, No. 6, 1106-1116 (2012). MSC: 05C10 05C25 05C45 PDFBibTeX XMLCite \textit{M. Abas}, Discrete Math. 312, No. 6, 1106--1116 (2012; Zbl 1238.05065) Full Text: DOI
Thirusangu, K.; Bala, E.; Balasangu, K. Product antimagic labelings in Cayley digraphs of 2-generated 2-groups. (English) Zbl 1237.05185 J. Appl. Math. Inform. 30, No. 1-2, 49-56 (2012). MSC: 05C78 05C20 05C25 PDFBibTeX XMLCite \textit{K. Thirusangu} et al., J. Appl. Math. Inform. 30, No. 1--2, 49--56 (2012; Zbl 1237.05185)
Pan, Jiangmin; Yu, Xue; Zhang, Hua; Huang, Zhaohong Finite edge-transitive dihedrant graphs. (English) Zbl 1237.05099 Discrete Math. 312, No. 5, 1006-1012 (2012). MSC: 05C25 PDFBibTeX XMLCite \textit{J. Pan} et al., Discrete Math. 312, No. 5, 1006--1012 (2012; Zbl 1237.05099) Full Text: DOI
Kutnar, Klavdija; Marušič, Dragan; Zhang, Cui On cubic non-Cayley vertex-transitive graphs. (English) Zbl 1234.05120 J. Graph Theory 69, No. 1-2, 77-95 (2012). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{K. Kutnar} et al., J. Graph Theory 69, No. 1--2, 77--95 (2012; Zbl 1234.05120) Full Text: DOI