Hammack, Richard Minimum cycle bases of direct products of complete graphs. (English) Zbl 1185.05088 Inf. Process. Lett. 102, No. 5, 214-218 (2007). MSC: 05C38 05C76 PDFBibTeX XMLCite \textit{R. Hammack}, Inf. Process. Lett. 102, No. 5, 214--218 (2007; Zbl 1185.05088) Full Text: DOI
Che, Zhongyuan On \(k\)-pairable graphs from trees. (English) Zbl 1174.05106 Czech. Math. J. 57, No. 1, 377-386 (2007). MSC: 05C75 05C60 05C05 PDFBibTeX XMLCite \textit{Z. Che}, Czech. Math. J. 57, No. 1, 377--386 (2007; Zbl 1174.05106) Full Text: DOI EuDML
Zhou, Houqing The nullity and ranks of the lexicographic product of strongly regular graphs. (Chinese. English summary) Zbl 1174.05500 J. Inn. Mong. Norm. Univ., Nat. Sci. 36, No. 5, 576-579 (2007). MSC: 05E30 05C50 05C75 PDFBibTeX XMLCite \textit{H. Zhou}, J. Inn. Mong. Norm. Univ., Nat. Sci. 36, No. 5, 576--579 (2007; Zbl 1174.05500)
Li, Qiong; Chen, Xiangen; Liu, Xinsheng The general neighbor-distinguishing chromatic index of graphs. (Chinese. English summary) Zbl 1175.05057 J. Northwest Norm. Univ., Nat. Sci. 43, No. 5, 18-21 (2007). MSC: 05C15 PDFBibTeX XMLCite \textit{Q. Li} et al., J. Northwest Norm. Univ., Nat. Sci. 43, No. 5, 18--21 (2007; Zbl 1175.05057)
Chen, Haiyu; Liu, Xinsheng; Chen, Xiangen The 2-distance chromatic number of Cartesian product of graphs. (Chinese. English summary) Zbl 1174.05357 J. Northwest Norm. Univ., Nat. Sci. 43, No. 2, 12-15 (2007). MSC: 05C15 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Northwest Norm. Univ., Nat. Sci. 43, No. 2, 12--15 (2007; Zbl 1174.05357)
Feng, Huiying; Qian, Jianguo Routing number of digraphs and product graphs. (English) Zbl 1174.05391 J. Xinjiang Univ., Nat. Sci. 24, No. 4, 407-412 (2007). MSC: 05C20 05C38 05C90 PDFBibTeX XMLCite \textit{H. Feng} and \textit{J. Qian}, J. Xinjiang Univ., Nat. Sci. 24, No. 4, 407--412 (2007; Zbl 1174.05391)
Liu, Bolian Some estimations of Zagreb indices. (English) Zbl 1177.05072 Util. Math. 74, 239-245 (2007). MSC: 05C50 92E10 PDFBibTeX XMLCite \textit{B. Liu}, Util. Math. 74, 239--245 (2007; Zbl 1177.05072)
Tigrine, Fouad; Kheddouci, Hamamache The minimum feedback vertex set for Kronecker product of graphs. (English) Zbl 1192.05127 Util. Math. 74, 207-237 (2007). MSC: 05C75 05C76 PDFBibTeX XMLCite \textit{F. Tigrine} and \textit{H. Kheddouci}, Util. Math. 74, 207--237 (2007; Zbl 1192.05127)
Zhang, Ting; Li, Muchun; Xu, Baogen; An, Changsheng; Zuo, Chao On total chromatic number and adjacent strong edge chromatic number of \(C_m\times C_{5n}\). (Chinese. English summary) Zbl 1164.05365 J. Lanzhou Jiaotong Univ., Nat. Sci. 26, No. 6, 124-126, 139 (2007). MSC: 05C15 PDFBibTeX XMLCite \textit{T. Zhang} et al., J. Lanzhou Jiaotong Univ., Nat. Sci. 26, No. 6, 124--126, 139 (2007; Zbl 1164.05365)
Klavžar, Sandi; Peterin, Iztok Edge-counting vectors, Fibonacci cubes, and Fibonacci triangle. (English) Zbl 1164.05031 Publ. Math. Debr. 71, No. 3-4, 267-278 (2007). Reviewer: Andreas N. Philippou (Patras) MSC: 05C30 05C75 11B39 PDFBibTeX XMLCite \textit{S. Klavžar} and \textit{I. Peterin}, Publ. Math. Debr. 71, No. 3--4, 267--278 (2007; Zbl 1164.05031)
Mai, Anchan; Wei, zhongtian The vertex-neighbor-integrity of the Cartesian product graphs. (Chinese. English summary) Zbl 1150.05370 J. Henan Norm. Univ., Nat. Sci. 35, No. 4, 8-10, 22 (2007). MSC: 05C40 PDFBibTeX XMLCite \textit{A. Mai} and \textit{z. Wei}, J. Henan Norm. Univ., Nat. Sci. 35, No. 4, 8--10, 22 (2007; Zbl 1150.05370)
Niu, Qingjie; Lin, Wensong; Song, Zengmin \(L(s, t)\) edge spans of trees and product of two paths. (English) Zbl 1150.05398 J. Southeast Univ., Engl. Ed. 23, No. 4, 639-642 (2007). MSC: 05C78 05C15 05C05 05C38 PDFBibTeX XMLCite \textit{Q. Niu} et al., J. Southeast Univ., Engl. Ed. 23, No. 4, 639--642 (2007; Zbl 1150.05398)
Tian, Shuangliang; Chen, Ping On the adjacent vertex-distinguishing total coloring of two classes of product graphs. (Chinese. English summary) Zbl 1150.05345 J. Math. Res. Expo. 27, No. 4, 733-737 (2007). MSC: 05C15 PDFBibTeX XMLCite \textit{S. Tian} and \textit{P. Chen}, J. Math. Res. Expo. 27, No. 4, 733--737 (2007; Zbl 1150.05345)
Perl, Monika Nearly perfect sets in the \(n\)-fold products of graphs. (English) Zbl 1143.05323 Opusc. Math. 27, No. 1, 83-88 (2007). MSC: 05C69 05C70 PDFBibTeX XMLCite \textit{M. Perl}, Opusc. Math. 27, No. 1, 83--88 (2007; Zbl 1143.05323)
Chen, Xue-gang Tree domatic number in graphs. (English) Zbl 1143.05319 Opusc. Math. 27, No. 1, 5-11 (2007). MSC: 05C69 05C35 05C05 05C10 PDFBibTeX XMLCite \textit{X.-g. Chen}, Opusc. Math. 27, No. 1, 5--11 (2007; Zbl 1143.05319)
Imrich, Wilfried; Klöckl, Werner Factoring directed graphs with respect to the cardinal product in polynomial time. (English) Zbl 1142.05039 Discuss. Math., Graph Theory 27, No. 3, 593-601 (2007). MSC: 05C20 05C75 05C85 05C70 PDFBibTeX XMLCite \textit{W. Imrich} and \textit{W. Klöckl}, Discuss. Math., Graph Theory 27, No. 3, 593--601 (2007; Zbl 1142.05039) Full Text: DOI Link
Peterin, Iztok Game chromatic number of Cartesian product graphs. (English) Zbl 1341.05088 Márquez, Alberto (ed.) et al., Proceedings of the 4th European conference on combinatorics, graph theory and applications, EuroComb’07, Seville, Spain, September 11–15, 2007. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 29, 353-357 (2007). MSC: 05C15 05C76 05C57 91A43 PDFBibTeX XMLCite \textit{I. Peterin}, Electron. Notes Discrete Math. 29, 353--357 (2007; Zbl 1341.05088) Full Text: DOI Link
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F. On the packing chromatic number of Cartesian products, hexagonal lattice, and trees. (English) Zbl 1341.05064 Márquez, Alberto (ed.) et al., Proceedings of the 4th European conference on combinatorics, graph theory and applications, EuroComb’07, Seville, Spain, September 11–15, 2007. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 29, 237-241 (2007). MSC: 05C15 05C76 05C70 05C05 PDFBibTeX XMLCite \textit{B. Brešar} et al., Electron. Notes Discrete Math. 29, 237--241 (2007; Zbl 1341.05064) Full Text: DOI
Liu, Yongping; Zhang, Rui; Su, Wanghui; Xie, Jiguo; Zhang, Xiaoxian Strong distinguishable adjacent vertex full-coloring of \(P_n\times P_m\). (Chinese. English summary) Zbl 1150.05340 J. Lanzhou Univ. Technol. 33, No. 2, 164-167 (2007). MSC: 05C15 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Lanzhou Univ. Technol. 33, No. 2, 164--167 (2007; Zbl 1150.05340)
Togni, Olivier Strong chromatic index of products of graphs. (English) Zbl 1153.05321 Discrete Math. Theor. Comput. Sci. 9, No. 1, 47-56 (2007). MSC: 05C15 05C70 PDFBibTeX XMLCite \textit{O. Togni}, Discrete Math. Theor. Comput. Sci. 9, No. 1, 47--56 (2007; Zbl 1153.05321) Full Text: Link
Accardi, Luigi; Lenczewski, Romuald; Sałapata, Rafał Decompositions of the free product of graphs. (English) Zbl 1142.05333 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10, No. 3, 303-334 (2007). MSC: 05C50 46L54 47A10 PDFBibTeX XMLCite \textit{L. Accardi} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10, No. 3, 303--334 (2007; Zbl 1142.05333) Full Text: DOI arXiv
Alzoubi, Maref Y.; Jaradat, Mohammed M. M. The basis number of the cartesian product of a path with a circular ladder, a Möbius ladder and a net. (English) Zbl 1140.05309 Kyungpook Math. J. 47, No. 2, 165-174 (2007). MSC: 05C38 05C75 PDFBibTeX XMLCite \textit{M. Y. Alzoubi} and \textit{M. M. M. Jaradat}, Kyungpook Math. J. 47, No. 2, 165--174 (2007; Zbl 1140.05309)
Brešar, Boštjan; Klavžar, Sandi Crossing graphs as joins of graphs and Cartesian products of median graphs. (English) Zbl 1141.05071 SIAM J. Discrete Math. 21, No. 1, 26-32 (2007). MSC: 05C75 05C12 05C10 PDFBibTeX XMLCite \textit{B. Brešar} and \textit{S. Klavžar}, SIAM J. Discrete Math. 21, No. 1, 26--32 (2007; Zbl 1141.05071) Full Text: DOI
O’Sullivan, M. E.; Brevik, J.; Wolski, R. The sum-product algorithm on small graphs. (English) Zbl 1155.68091 Shaska, T. (ed.) et al., Advances in coding theory and cryptography. Selected papers based on the presentations at the Vlora conference in coding theory and cryptography, Vlora, Albania, May 26–27, 2007 and a special session on coding theory as part of the applications of computer algebra conference, Rochester, MI, USA, July 19–22, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-270-701-7/hbk). Series on Coding Theory and Cryptology 3, 160-180 (2007). Reviewer: Piroska Lakatos (Debrecen) MSC: 68W40 94B60 94B25 94A45 05C85 PDFBibTeX XMLCite \textit{M. E. O'Sullivan} et al., Ser. Coding Theory Cryptol. 3, 160--180 (2007; Zbl 1155.68091)
Draženská, Emília; Klešč, Marián The crossing numbers of products of cycles with \(6\)-vertex trees. (English) Zbl 1175.05040 Tatra Mt. Math. Publ. 36, 109-119 (2007). Reviewer: Alexander Rosa (Hamilton) MSC: 05C10 PDFBibTeX XMLCite \textit{E. Draženská} and \textit{M. Klešč}, Tatra Mt. Math. Publ. 36, 109--119 (2007; Zbl 1175.05040)
Brešar, Boštjan; Henning, Michael A.; Rall, Douglas F. Paired-domination of Cartesian products of graphs. (English) Zbl 1161.05053 Util. Math. 73, 255-265 (2007). Reviewer: Ambat Vijayakumar (Cochin) MSC: 05C69 05C70 PDFBibTeX XMLCite \textit{B. Brešar} et al., Util. Math. 73, 255--265 (2007; Zbl 1161.05053)
Brešar, Boštjan; Špacapan, Simon Edge-connectivity of strong products of graphs. (English) Zbl 1135.05034 Discuss. Math., Graph Theory 27, No. 2, 333-343 (2007). Reviewer: Hang Lau (Montréal) MSC: 05C40 05C75 PDFBibTeX XMLCite \textit{B. Brešar} and \textit{S. Špacapan}, Discuss. Math., Graph Theory 27, No. 2, 333--343 (2007; Zbl 1135.05034) Full Text: DOI Link
Shiu, W. C.; Ling, M. H. Extreme friendly indices of \(C_m\times C_n\). (English) Zbl 1132.05054 Congr. Numerantium 188, 175-182 (2007). MSC: 05C78 PDFBibTeX XMLCite \textit{W. C. Shiu} and \textit{M. H. Ling}, Congr. Numerantium 188, 175--182 (2007; Zbl 1132.05054)
Jaradat, Mohammed M. M. An upper bound of the basic number of the semi-strong product of cycles with bipartite graphs. (English) Zbl 1151.05027 Bull. Korean Math. Soc. 44, No. 3, 385-394 (2007). Reviewer: Josep M. Brunat (Barcelona) MSC: 05C38 05C75 PDFBibTeX XMLCite \textit{M. M. M. Jaradat}, Bull. Korean Math. Soc. 44, No. 3, 385--394 (2007; Zbl 1151.05027) Full Text: DOI
Kouider, Mekkia; Mahéo, Maryvonne The \(b\)-chromatic number of the Cartesian product of two graphs. (English) Zbl 1127.05040 Stud. Sci. Math. Hung. 44, No. 1, 49-55 (2007). MSC: 05C15 PDFBibTeX XMLCite \textit{M. Kouider} and \textit{M. Mahéo}, Stud. Sci. Math. Hung. 44, No. 1, 49--55 (2007; Zbl 1127.05040) Full Text: DOI
Bokal, Drago On the crossing numbers of Cartesian products with trees. (English) Zbl 1128.05017 J. Graph Theory 56, No. 4, 287-300 (2007). MSC: 05C10 PDFBibTeX XMLCite \textit{D. Bokal}, J. Graph Theory 56, No. 4, 287--300 (2007; Zbl 1128.05017) Full Text: DOI
Ionescu, Lucian M.; Sissokho, Papa A. A canonical semi-classical star product. (English) Zbl 1131.53050 J. Gen. Lie Theory Appl. 1, No. 2, 117-128 (2007). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 05C05 18D50 PDFBibTeX XMLCite \textit{L. M. Ionescu} and \textit{P. A. Sissokho}, J. Gen. Lie Theory Appl. 1, No. 2, 117--128 (2007; Zbl 1131.53050) Full Text: DOI arXiv
Orbanić, Alen \(F\)-actions and parallel-product decomposition of reflexible maps. (English) Zbl 1172.05324 J. Algebr. Comb. 26, No. 4, 507-527 (2007). MSC: 05C25 05C10 PDFBibTeX XMLCite \textit{A. Orbanić}, J. Algebr. Comb. 26, No. 4, 507--527 (2007; Zbl 1172.05324) Full Text: DOI
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F. On the packing chromatic number of Cartesian products, hexagonal lattice, and trees. (English) Zbl 1126.05045 Discrete Appl. Math. 155, No. 17, 2303-2311 (2007). MSC: 05C15 PDFBibTeX XMLCite \textit{B. Brešar} et al., Discrete Appl. Math. 155, No. 17, 2303--2311 (2007; Zbl 1126.05045) Full Text: DOI
Lakshmi, R.; Paulraja, P. On optimal orientations of tensor product of complete graphs. (English) Zbl 1174.05055 Ars Comb. 82, 337-352 (2007). MSC: 05C20 PDFBibTeX XMLCite \textit{R. Lakshmi} and \textit{P. Paulraja}, Ars Comb. 82, 337--352 (2007; Zbl 1174.05055)
Belcastro, Sarah-Marie; Kaminski, Jackie Families of dot-product snarks on orientable surfaces of low genus. (English) Zbl 1124.05028 Graphs Comb. 23, No. 3, 229-240 (2007). MSC: 05C10 PDFBibTeX XMLCite \textit{S.-M. Belcastro} and \textit{J. Kaminski}, Graphs Comb. 23, No. 3, 229--240 (2007; Zbl 1124.05028) Full Text: DOI
Zhen, Wenping; Lin, Xiaohui; Yang, Yuansheng; Cui, Chong On the crossing number of \(K_{ m } \square P_{n}\). (English) Zbl 1122.05031 Graphs Comb. 23, No. 3, 327-336 (2007). MSC: 05C10 PDFBibTeX XMLCite \textit{W. Zhen} et al., Graphs Comb. 23, No. 3, 327--336 (2007; Zbl 1122.05031) Full Text: DOI
Mojdeh, D. A.; Hassanpour, S. A.; Ahangar, H. Abdollahzadeh; Haji, A. Ahmadi On domination in Hamiltonian cubic graphs. (English) Zbl 1123.05067 Far East J. Math. Sci. (FJMS) 24, No. 2, 187-200 (2007). Reviewer: Hang Lau (Montréal) MSC: 05C69 PDFBibTeX XML
Paluga, Esamel M.; Canoy, Sergio R. jun. Minimal path convexity under some graph operations. (English) Zbl 1122.05053 Util. Math. 72, 77-88 (2007). Reviewer: Hang Lau (Montréal) MSC: 05C40 05C38 PDFBibTeX XMLCite \textit{E. M. Paluga} and \textit{S. R. Canoy jun.}, Util. Math. 72, 77--88 (2007; Zbl 1122.05053)
Pór, Attila; Wood, David R. Colourings of the Cartesian product of graphs and multiplicative Sidon sets. (English) Zbl 1293.05120 Hliněný, Petr (ed.) et al., 6th Czech-Slovak international symposium on combinatorics, graph theory, algorithms and applications, DIMATIA Center, Charles University, Prague, Czech Republic, July 10–16, 2006. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 28, 33-40 (2007). MSC: 05C15 05C76 PDFBibTeX XMLCite \textit{A. Pór} and \textit{D. R. Wood}, Electron. Notes Discrete Math. 28, 33--40 (2007; Zbl 1293.05120) Full Text: DOI arXiv
Dress, A.; Huber, K. T.; Moulton, V. Some uses of the Farris transform in mathematics and phylogenetics – A review. (English) Zbl 1110.92026 Ann. Comb. 11, No. 1, 1-37 (2007). MSC: 92D15 05C90 05C12 92B99 PDFBibTeX XMLCite \textit{A. Dress} et al., Ann. Comb. 11, No. 1, 1--37 (2007; Zbl 1110.92026) Full Text: DOI
Zhang, Zhao; Zheng, Yirong; Mamut, Aygul Nowhere-zero flows in tensor product of graphs. (English) Zbl 1121.05099 J. Graph Theory 54, No. 4, 284-292 (2007). Reviewer: Van Bang Le (Rostock) MSC: 05C75 PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Graph Theory 54, No. 4, 284--292 (2007; Zbl 1121.05099) Full Text: DOI
Klešč, Marián; Kocúrová, Anna The crossing numbers of products of 5-vertex graphs with cycles. (English) Zbl 1118.05021 Discrete Math. 307, No. 11-12, 1395-1403 (2007). MSC: 05C10 05C38 PDFBibTeX XMLCite \textit{M. Klešč} and \textit{A. Kocúrová}, Discrete Math. 307, No. 11--12, 1395--1403 (2007; Zbl 1118.05021) Full Text: DOI
Bokal, Drago On the crossing numbers of Cartesian products with paths. (English) Zbl 1113.05027 J. Comb. Theory, Ser. B 97, No. 3, 381-384 (2007). MSC: 05C10 PDFBibTeX XMLCite \textit{D. Bokal}, J. Comb. Theory, Ser. B 97, No. 3, 381--384 (2007; Zbl 1113.05027) Full Text: DOI
Fernández, Antonio; Leighton, Tom; López-Presa, José Luis Containment properties of product and power graphs. (English) Zbl 1113.05068 Discrete Appl. Math. 155, No. 3, 300-311 (2007). MSC: 05C60 05C10 05C70 PDFBibTeX XMLCite \textit{A. Fernández} et al., Discrete Appl. Math. 155, No. 3, 300--311 (2007; Zbl 1113.05068) Full Text: DOI
Chandran, L. Sunil; Sivadasan, Naveen On the Hadwiger’s conjecture for graph products. (English) Zbl 1119.05041 Discrete Math. 307, No. 2, 266-273 (2007). Reviewer: Jozef Fiamčik (Prešov) MSC: 05C15 05C70 05C83 PDFBibTeX XMLCite \textit{L. S. Chandran} and \textit{N. Sivadasan}, Discrete Math. 307, No. 2, 266--273 (2007; Zbl 1119.05041) Full Text: DOI
Van Wieren, Douglas M. Critical cyclic patterns related to the domination number of the torus. (English) Zbl 1119.05084 Discrete Math. 307, No. 3-5, 615-632 (2007). Reviewer: Haiko Müller (Leeds) MSC: 05C69 68R10 PDFBibTeX XMLCite \textit{D. M. Van Wieren}, Discrete Math. 307, No. 3--5, 615--632 (2007; Zbl 1119.05084) Full Text: DOI