Murugan, M.; Sriraman, P. One point union of paths of graphs and their \(\lambda\)-numbers. (English) Zbl 07246073 Electron. J. Math. Analysis Appl. 9, No. 1, 23-36 (2021). MSC: 05C78 PDF BibTeX XML Cite \textit{M. Murugan} and \textit{P. Sriraman}, Electron. J. Math. Analysis Appl. 9, No. 1, 23--36 (2021; Zbl 07246073) Full Text: Link
Zhang, Xiaoling The \(L(3,2,1)\)-labeling problem for trees. (English) Zbl 07295442 J. Math. Res. Appl. 40, No. 5, 467-475 (2020). MSC: 05C78 05C05 PDF BibTeX XML Cite \textit{X. Zhang}, J. Math. Res. Appl. 40, No. 5, 467--475 (2020; Zbl 07295442) Full Text: DOI
Lin, Wensong Channel assignment problem and relaxed 2-distant coloring of graphs. (English) Zbl 1435.05187 Discrete Appl. Math. 277, 231-244 (2020). MSC: 05C82 05C15 05C10 94A40 68Q17 05C12 PDF BibTeX XML Cite \textit{W. Lin}, Discrete Appl. Math. 277, 231--244 (2020; Zbl 1435.05187) Full Text: DOI
Ono, Hirotaka; Yamanaka, Hisato A 116/13-approximation algorithm for \(L(2,1)\)-labeling of unit disk graphs. (English) Zbl 1444.68152 Catania, Barbara (ed.) et al., SOFSEM 2019: theory and practice of computer science. 45th international conference on current trends in theory and practice of computer science, Nový Smokovec, Slovakia, January 27–30, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11376, 379-391 (2019). MSC: 68R10 05C62 68W25 PDF BibTeX XML Cite \textit{H. Ono} and \textit{H. Yamanaka}, Lect. Notes Comput. Sci. 11376, 379--391 (2019; Zbl 1444.68152) Full Text: DOI
Lv, Damei; Lin, Wensong \(n\)-fold-\(L(d,1)\)-labelings of the edge-multiplicity-path-replacements. (English) Zbl 07217255 Ars Comb. 146, 341-360 (2019). MSC: 05C78 PDF BibTeX XML Cite \textit{D. Lv} and \textit{W. Lin}, Ars Comb. 146, 341--360 (2019; Zbl 07217255)
Bruneau, Nicolas; Christen, Charles; Danger, Jean-Luc; Facon, Adrien; Guilley, Sylvain Security evaluation against side-channel analysis at compilation time. (English) Zbl 07215971 Gueye, Cheikh Thiecoumba (ed.) et al., Algebra, codes and cryptology. Proceedings of the first international conference, A2C 2019, in honor of Prof. Mamadou Sanghare, Dakar, Senegal, December 5–7, 2019. Cham: Springer (ISBN 978-3-030-36236-2/pbk; 978-3-030-36237-9/ebook). Communications in Computer and Information Science 1133, 129-148 (2019). MSC: 94A60 94A40 PDF BibTeX XML Cite \textit{N. Bruneau} et al., Commun. Comput. Inf. Sci. 1133, 129--148 (2019; Zbl 07215971) Full Text: DOI
Guan, Xiaxia; Zhang, Shurong; Li, Rong-hua; Chen, Lin; Yang, Weihua Anti-\(k\)-labeling of graphs. (English) Zbl 1433.05268 Appl. Math. Comput. 363, Article ID 124549, 8 p. (2019). MSC: 05C78 05C15 PDF BibTeX XML Cite \textit{X. Guan} et al., Appl. Math. Comput. 363, Article ID 124549, 8 p. (2019; Zbl 1433.05268) Full Text: DOI arXiv
Tang, Hongji \(n\)-fold-\(L(2,1)\)-labelings of the edge-multiplicity-path-replacements. (English) Zbl 07144805 Ars Comb. 143, 13-28 (2019). MSC: 05C78 PDF BibTeX XML Cite \textit{H. Tang}, Ars Comb. 143, 13--28 (2019; Zbl 07144805)
Nicholas, Paul J.; Hoffman, Karla L. Efficient solution methods for the cumulative-interference channel assignment problem using integer optimization and constraint programming. (English) Zbl 07116710 Rousseau, Louis-Martin (ed.) et al., Integration of constraint programming, artificial intelligence, and operations research. 16th international conference, CPAIOR 2019, Thessaloniki, Greece, June 4–7, 2019. Proceedings. Cham: Springer (ISBN 978-3-030-19211-2/pbk; 978-3-030-19212-9/ebook). Lecture Notes in Computer Science 11494, 443-460 (2019). MSC: 68T20 90C27 PDF BibTeX XML Cite \textit{P. J. Nicholas} and \textit{K. L. Hoffman}, Lect. Notes Comput. Sci. 11494, 443--460 (2019; Zbl 07116710) Full Text: DOI
Argha, Ahmadreza; Su, Steven W.; Savkin, Andrey; Celler, Branko Design of optimal sliding-mode control using partial eigenstructure assignment. (English) Zbl 1417.93091 Int. J. Control 92, No. 7, 1511-1523 (2019). MSC: 93B12 93B55 93B52 PDF BibTeX XML Cite \textit{A. Argha} et al., Int. J. Control 92, No. 7, 1511--1523 (2019; Zbl 1417.93091) Full Text: DOI
Orden, David; Marsa-Maestre, Ivan; Gimenez-Guzman, Jose Manuel; de la Hoz, Enrique; Álvarez-Suárez, Ana Spectrum graph coloring to improve Wi-Fi channel assignment in a real-world scenario via edge contraction. (English) Zbl 1414.05277 Discrete Appl. Math. 263, 234-243 (2019). MSC: 05C90 05C50 05C15 94A40 90C27 PDF BibTeX XML Cite \textit{D. Orden} et al., Discrete Appl. Math. 263, 234--243 (2019; Zbl 1414.05277) Full Text: DOI
Saha, Laxman; Panigrahi, Pratima A new graph radio \(k\)-coloring algorithm. (English) Zbl 1404.05059 Discrete Math. Algorithms Appl. 11, No. 1, Article ID 1950005, 10 p. (2019). MSC: 05C15 05C78 05C12 05C82 PDF BibTeX XML Cite \textit{L. Saha} and \textit{P. Panigrahi}, Discrete Math. Algorithms Appl. 11, No. 1, Article ID 1950005, 10 p. (2019; Zbl 1404.05059) Full Text: DOI
Fiala, Jiří; Gavenčiak, Tomáš; Knop, Dušan; Koutecký, Martin; Kratochvíl, Jan Parameterized complexity of distance labeling and uniform channel assignment problems. (English) Zbl 1395.05143 Discrete Appl. Math. 248, 46-55 (2018). MSC: 05C78 05C82 05C12 90B80 PDF BibTeX XML Cite \textit{J. Fiala} et al., Discrete Appl. Math. 248, 46--55 (2018; Zbl 1395.05143) Full Text: DOI
Orden, David; Gimenez-Guzman, Jose Manuel; Marsa-Maestre, Ivan; de la Hoz, Enrique Spectrum graph coloring and applications to Wi-Fi channel assignment. (English) Zbl 1392.05106 Symmetry 10, No. 3, Article ID 65, 22 p. (2018). MSC: 05C90 05C15 68Q25 PDF BibTeX XML Cite \textit{D. Orden} et al., Symmetry 10, No. 3, Article ID 65, 22 p. (2018; Zbl 1392.05106) Full Text: DOI
Ramezani, Mahlagha; Jahanshahi, Mohsen Load-aware multicast routing in multi-radio wireless mesh networks using FCA-CMAC neural network. (English) Zbl 1386.68015 Computing 100, No. 5, 473-501 (2018). MSC: 68M10 68M20 68T05 PDF BibTeX XML Cite \textit{M. Ramezani} and \textit{M. Jahanshahi}, Computing 100, No. 5, 473--501 (2018; Zbl 1386.68015) Full Text: DOI
Lin, Wensong; Shen, Chenli Channel assignment problem and \(n\)-fold \(t\)-separated \(L(j_1,j_2,\dots,j_m)\)-labeling of graphs. (English) Zbl 1418.90237 J. Comb. Optim. 35, No. 4, 1147-1167 (2018). MSC: 90C27 90C35 90B80 PDF BibTeX XML Cite \textit{W. Lin} and \textit{C. Shen}, J. Comb. Optim. 35, No. 4, 1147--1167 (2018; Zbl 1418.90237) Full Text: DOI
Lin, Nianfeng; Lü, Damei; Wang, Jinhua \(L(2, 1)\)-edge-labelings of the edge-path-replacement of a graph. (English) Zbl 1390.05206 Int. J. Found. Comput. Sci. 29, No. 1, 91-100 (2018). MSC: 05C78 PDF BibTeX XML Cite \textit{N. Lin} et al., Int. J. Found. Comput. Sci. 29, No. 1, 91--100 (2018; Zbl 1390.05206) Full Text: DOI
Lan, Jun; Lin, Wensong On \(t\)-relaxed chromatic number of \(r\)-power paths. (English) Zbl 1383.05107 Discrete Math. Algorithms Appl. 10, No. 2, Article ID 1850017, 9 p. (2018). MSC: 05C15 PDF BibTeX XML Cite \textit{J. Lan} and \textit{W. Lin}, Discrete Math. Algorithms Appl. 10, No. 2, Article ID 1850017, 9 p. (2018; Zbl 1383.05107) Full Text: DOI
Beaudouin-Lafon, Matthew; Chen, Serena; Karst, Nathaniel; Oehrlein, Jessica; Sakai Troxell, Denise Labeling crossed prisms with a condition at distance two. (English) Zbl 1369.05064 Involve 11, No. 1, 67-80 (2018). MSC: 05C15 05C78 05C12 05C76 PDF BibTeX XML Cite \textit{M. Beaudouin-Lafon} et al., Involve 11, No. 1, 67--80 (2018; Zbl 1369.05064) Full Text: DOI
Zhang, Yunchun; Wang, Yujing; Yao, Shaowen; Li, Na; Hu, Jiantao A PSO-based channel assignment algorithm in wireless mesh networks. (Chinese. English summary) Zbl 1399.94063 J. Univ. Electron. Sci. Technol. China 46, No. 5, 728-733, 746 (2017). MSC: 94A40 90B18 68T20 PDF BibTeX XML Cite \textit{Y. Zhang} et al., J. Univ. Electron. Sci. Technol. China 46, No. 5, 728--733, 746 (2017; Zbl 1399.94063) Full Text: DOI
Zhao, Taiyin; Hu, Guangmin A note on \((s,t)\)-relaxed \(L(2,1)\)-labeling of graphs. (English) Zbl 1381.90077 J. Comb. Optim. 34, No. 2, 378-382 (2017). MSC: 90C27 PDF BibTeX XML Cite \textit{T. Zhao} and \textit{G. Hu}, J. Comb. Optim. 34, No. 2, 378--382 (2017; Zbl 1381.90077) Full Text: DOI
Dai, Benqiu; Lin, Wensong On \((s,t)\)-relaxed \(L(2,1)\)-labelings of the hexagonal lattice. (English) Zbl 1413.05324 Ars Comb. 130, 319-331 (2017). MSC: 05C78 05C12 PDF BibTeX XML Cite \textit{B. Dai} and \textit{W. Lin}, Ars Comb. 130, 319--331 (2017; Zbl 1413.05324)
Du, Juan; Lv, Damei \(L(d,1)\)-labelings of the edge-multiplicity-path-replacements. (English) Zbl 1424.05255 Ars Comb. 131, 407-424 (2017). MSC: 05C78 PDF BibTeX XML Cite \textit{J. Du} and \textit{D. Lv}, Ars Comb. 131, 407--424 (2017; Zbl 1424.05255)
Kim, Byeong Moon; Rho, Yoomi; Song, Byung Chul Lambda number for the direct product of some family of graphs. (English) Zbl 1369.05181 J. Comb. Optim. 33, No. 4, 1257-1265 (2017). MSC: 05C78 05C76 05C15 05C38 PDF BibTeX XML Cite \textit{B. M. Kim} et al., J. Comb. Optim. 33, No. 4, 1257--1265 (2017; Zbl 1369.05181) Full Text: DOI
Jahanshahi, Mohsen; Dehghan, Mehdi; Meybodi, Mohammad Reza A cross-layer optimization framework for joint channel assignment and multicast routing in multi-channel multi-radio wireless mesh networks. (English) Zbl 1409.68033 Int. J. Comput. Math. 94, No. 8, 1624-1652 (2017). MSC: 68M10 68M20 PDF BibTeX XML Cite \textit{M. Jahanshahi} et al., Int. J. Comput. Math. 94, No. 8, 1624--1652 (2017; Zbl 1409.68033) Full Text: DOI
Lin, Wensong; Zhao, Xuan On \((s,t)\)-relaxed \(L(1,1)\)-labelling of trees. (English) Zbl 1367.05186 Int. J. Comput. Math. 94, No. 6, 1219-1227 (2017). MSC: 05C78 05C05 94A40 PDF BibTeX XML Cite \textit{W. Lin} and \textit{X. Zhao}, Int. J. Comput. Math. 94, No. 6, 1219--1227 (2017; Zbl 1367.05186) Full Text: DOI
Das, Sandip; Ghosh, Sasthi C.; Nandi, Soumen Optimal \(L(3, 2, 1)\)-labeling of triangular lattice. (English) Zbl 1365.05255 Discrete Appl. Math. 228, 32-40 (2017). MSC: 05C78 PDF BibTeX XML Cite \textit{S. Das} et al., Discrete Appl. Math. 228, 32--40 (2017; Zbl 1365.05255) Full Text: DOI
Bantva, Devsi; Vaidya, Samir; Zhou, Sanming Radio number of trees. (English) Zbl 1358.05242 Discrete Appl. Math. 217, Part 2, 110-122 (2017). MSC: 05C78 05C12 PDF BibTeX XML Cite \textit{D. Bantva} et al., Discrete Appl. Math. 217, Part 2, 110--122 (2017; Zbl 1358.05242) Full Text: DOI
Ma, Shan; Petersen, Ian R.; Woolley, Matthew J. Linear quantum systems with diagonal passive Hamiltonian and a single dissipative channel. (English) Zbl 1353.93104 Syst. Control Lett. 99, 64-71 (2017). MSC: 93E03 81Q93 93C05 PDF BibTeX XML Cite \textit{S. Ma} et al., Syst. Control Lett. 99, 64--71 (2017; Zbl 1353.93104) Full Text: DOI arXiv
Socała, Arkadiusz Tight lower bound for the channel assignment problem. (English) Zbl 1445.68177 ACM Trans. Algorithms 12, No. 4, Article No. 48, 19 p. (2016). MSC: 68R10 05C78 68Q17 PDF BibTeX XML Cite \textit{A. Socała}, ACM Trans. Algorithms 12, No. 4, Article No. 48, 19 p. (2016; Zbl 1445.68177) Full Text: DOI
Du, Juan; Lv, Damei; Zhang, Ke \(L(2,1)\)-labelings of the local-edge-path-replacements of Cartesian products. (Chinese. English summary) Zbl 1374.05190 J. Zhejiang Univ., Sci. Ed. 43, No. 6, 679-681, 739 (2016). MSC: 05C78 05C76 PDF BibTeX XML Cite \textit{J. Du} et al., J. Zhejiang Univ., Sci. Ed. 43, No. 6, 679--681, 739 (2016; Zbl 1374.05190) Full Text: DOI
Fogel, K.; Villalpando, J.; Coufal, V.; Ray, R.; Yerion, K.; Higgins, A.; Higgins, W. Trees for given values of the span, caps and Icaps for \(L(2, 1)\)-colorings. (English) Zbl 1360.05056 Congr. Numerantium 227, 139-155 (2016). MSC: 05C15 05C05 05C78 94A40 PDF BibTeX XML Cite \textit{K. Fogel} et al., Congr. Numerantium 227, 139--155 (2016; Zbl 1360.05056)
Orden, David; Marsa-Maestre, Ivan; Gimenez-Guzman, Jose Manuel; de la Hoz, Enrique Bounds on spectrum graph coloring. (English) Zbl 1356.05053 de Mier, Anna (ed.) et al., Discrete mathematical days. Extended abstracts of the 10th “Jornadas de matemática discreta y algorítmica” (JMDA), Barcelona, Spain, July 6–8, 2016. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 54, 63-68 (2016). MSC: 05C15 05C50 94A40 PDF BibTeX XML Cite \textit{D. Orden} et al., Electron. Notes Discrete Math. 54, 63--68 (2016; Zbl 1356.05053) Full Text: DOI
Dai, Dong; Wei, Juan; Wang, Lei Wireless mesh network channel assignment scheme based on SIR conflict graph and maximal independent set. (Chinese. English summary) Zbl 1363.68003 Nat. Sci. J. Xiangtan Univ. 38, No. 2, 109-113 (2016). MSC: 68M10 68M20 68R10 94A40 PDF BibTeX XML Cite \textit{D. Dai} et al., Nat. Sci. J. Xiangtan Univ. 38, No. 2, 109--113 (2016; Zbl 1363.68003) Full Text: DOI
Nazeer, Saima; Khan, M. Saqib; Kousar, Imrana; Nazeer, Waqas Radio labeling and radio number for generalized caterpillar graphs. (English) Zbl 1348.05185 J. Appl. Math. Inform. 34, No. 5-6, 451-465 (2016). MSC: 05C78 05C12 05C15 94A40 PDF BibTeX XML Cite \textit{S. Nazeer} et al., J. Appl. Math. Inform. 34, No. 5--6, 451--465 (2016; Zbl 1348.05185) Full Text: DOI
Shao, Zhendong; Solis-Oba, Roberto On some results for the \(L(2,1)\)-labeling on Cartesian sum graphs. (English) Zbl 1413.05343 Ars Comb. 124, 365-377 (2016). MSC: 05C78 05C76 PDF BibTeX XML Cite \textit{Z. Shao} and \textit{R. Solis-Oba}, Ars Comb. 124, 365--377 (2016; Zbl 1413.05343)
Chaudhry, Aizaz U.; Chinneck, John W.; Hafez, Roshdy H. M. Fast heuristics for the frequency channel assignment problem in multi-hop wireless networks. (English) Zbl 1346.90232 Eur. J. Oper. Res. 251, No. 3, 771-782 (2016). MSC: 90B18 90B80 90C59 PDF BibTeX XML Cite \textit{A. U. Chaudhry} et al., Eur. J. Oper. Res. 251, No. 3, 771--782 (2016; Zbl 1346.90232) Full Text: DOI
Kowalik, Łukasz; Socała, Arkadiusz Assigning channels via the meet-in-the-middle approach. (English) Zbl 1339.68119 Algorithmica 74, No. 4, 1435-1452 (2016). MSC: 68Q25 05C15 05C70 05C85 PDF BibTeX XML Cite \textit{Ł. Kowalik} and \textit{A. Socała}, Algorithmica 74, No. 4, 1435--1452 (2016; Zbl 1339.68119) Full Text: DOI
Lo, Min-Lin; Alegria, Linda Victoria Radio number for fourth power paths. (English) Zbl 1333.05266 Involve 9, No. 2, 317-332 (2016). MSC: 05C78 PDF BibTeX XML Cite \textit{M.-L. Lo} and \textit{L. V. Alegria}, Involve 9, No. 2, 317--332 (2016; Zbl 1333.05266) Full Text: DOI
Lü, Damei; Sun, Jianping \(L(2,1)\)-labelings of the edge-multiplicity-paths-replacement of a graph. (English) Zbl 1341.90136 J. Comb. Optim. 31, No. 1, 396-404 (2016). MSC: 90C35 PDF BibTeX XML Cite \textit{D. Lü} and \textit{J. Sun}, J. Comb. Optim. 31, No. 1, 396--404 (2016; Zbl 1341.90136) Full Text: DOI
Zhang, Xiaoling Distance two labeling on the square of a cycle. (English) Zbl 1433.05272 Korean J. Math. 23, No. 4, 607-618 (2015). MSC: 05C78 05C15 PDF BibTeX XML Cite \textit{X. Zhang}, Korean J. Math. 23, No. 4, 607--618 (2015; Zbl 1433.05272) Full Text: DOI
Saha, Laxman; Panigrahi, Pratima On the radio number of square of graphs. (English) Zbl 1347.05078 Arumugam, S. (ed.) et al., Proceedings of the 8th international workshop on graph labelings (IWOGL 2014), Krishnankoil, Tamil Nadu, India, December 3–6, 2014. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 48, 205-212, electronic only (2015). MSC: 05C15 94A40 PDF BibTeX XML Cite \textit{L. Saha} and \textit{P. Panigrahi}, Electron. Notes Discrete Math. 48, 205--212 (2015; Zbl 1347.05078) Full Text: DOI
Bantva, Devsi; Vaidya, Samir; Zhou, Sanming Radio number of trees. (English) Zbl 1347.05178 Arumugam, S. (ed.) et al., Proceedings of the 8th international workshop on graph labelings (IWOGL 2014), Krishnankoil, Tamil Nadu, India, December 3–6, 2014. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 48, 135-141, electronic only (2015). MSC: 05C78 05C05 05C12 PDF BibTeX XML Cite \textit{D. Bantva} et al., Electron. Notes Discrete Math. 48, 135--141 (2015; Zbl 1347.05178) Full Text: DOI arXiv
Zhou, Jian; Niu, Linning; Qian, Jianfei Multi-stage and multi-objective dynamic location model under the dual-channel supply chain. (Chinese. English summary) Zbl 1349.90581 J. Northeast. Univ., Nat. Sci. 36, No. 12, 1800-1804 (2015). MSC: 90B80 90C59 PDF BibTeX XML Cite \textit{J. Zhou} et al., J. Northeast. Univ., Nat. Sci. 36, No. 12, 1800--1804 (2015; Zbl 1349.90581) Full Text: DOI
Murugan, Muthali Distance two labeling on special family of graphs. (English) Zbl 1343.05132 Matematiche 70, No. 2, 35-48 (2015). MSC: 05C78 PDF BibTeX XML Cite \textit{M. Murugan}, Matematiche 70, No. 2, 35--48 (2015; Zbl 1343.05132) Full Text: DOI
Kim, Byeong Moon; Rho, Yoomi; Song, Byung Chul \(L(h, k)\)-labelling for octagonal grid. (English) Zbl 1334.05144 Int. J. Comput. Math. 92, No. 11, 2243-2250 (2015). MSC: 05C78 05C38 05C12 94A40 PDF BibTeX XML Cite \textit{B. M. Kim} et al., Int. J. Comput. Math. 92, No. 11, 2243--2250 (2015; Zbl 1334.05144) Full Text: DOI
Wood, Christopher A.; Jacob, Jobby A complete \(L (2, 1)\) span characterization for small trees. (English) Zbl 1332.05125 AKCE Int. J. Graphs Comb. 12, No. 1, 26-31 (2015). Reviewer: Baoyindureng Wu (Urumqi) MSC: 05C78 05C05 05C75 PDF BibTeX XML Cite \textit{C. A. Wood} and \textit{J. Jacob}, AKCE Int. J. Graphs Comb. 12, No. 1, 26--31 (2015; Zbl 1332.05125) Full Text: DOI
Calamoneri, Tiziana Optimal \(L(j,k)\)-edge-labeling of regular grids. (English) Zbl 1328.05161 Int. J. Found. Comput. Sci. 26, No. 4, 523-535 (2015). Reviewer: Linda Lesniak (Kalamazoo) MSC: 05C78 05C15 94A40 PDF BibTeX XML Cite \textit{T. Calamoneri}, Int. J. Found. Comput. Sci. 26, No. 4, 523--535 (2015; Zbl 1328.05161) Full Text: DOI
Kim, Byeong Moon; Rho, Yoomi; Song, Byung Chul \(L(1,1)\)-labelling of the direct product of a complete graph and a cycle. (English) Zbl 1332.90328 J. Comb. Optim. 30, No. 3, 803-811 (2015). MSC: 90C35 05C38 05C78 PDF BibTeX XML Cite \textit{B. M. Kim} et al., J. Comb. Optim. 30, No. 3, 803--811 (2015; Zbl 1332.90328) Full Text: DOI
Saha, Laxman; Panigrahi, Pratima A lower bound for radio \(k\)-chromatic number. (English) Zbl 1319.05056 Discrete Appl. Math. 192, 87-100 (2015). MSC: 05C15 05C40 PDF BibTeX XML Cite \textit{L. Saha} and \textit{P. Panigrahi}, Discrete Appl. Math. 192, 87--100 (2015; Zbl 1319.05056) Full Text: DOI
Franks, Cole The \(\Delta^2\) conjecture holds for graphs of small order. (English) Zbl 1316.05106 Involve 8, No. 4, 541-549 (2015). MSC: 05C78 94A40 PDF BibTeX XML Cite \textit{C. Franks}, Involve 8, No. 4, 541--549 (2015; Zbl 1316.05106) Full Text: DOI
Kim, Byeong Moon; Hwang, Woonjae; Song, Byung Chul Radio number for the product of a path and a complete graph. (English) Zbl 1316.05105 J. Comb. Optim. 30, No. 1, 139-149 (2015). MSC: 05C76 05C78 05C15 05C12 PDF BibTeX XML Cite \textit{B. M. Kim} et al., J. Comb. Optim. 30, No. 1, 139--149 (2015; Zbl 1316.05105) Full Text: DOI
Karst, Nathaniel; Oehrlein, Jessica; Troxell, Denise Sakai; Zhu, Junjie On distance labelings of amalgamations and injective labelings of general graphs. (English) Zbl 1329.05257 Involve 8, No. 3, 535-540 (2015). MSC: 05C78 05C90 94A40 PDF BibTeX XML Cite \textit{N. Karst} et al., Involve 8, No. 3, 535--540 (2015; Zbl 1329.05257) Full Text: DOI
Lin, Wensong; Dai, Benqiu On \((s,t)\)-relaxed \(L(2,1)\)-labelings of the triangular lattice. (English) Zbl 1336.90097 J. Comb. Optim. 29, No. 3, 655-669 (2015). MSC: 90C35 PDF BibTeX XML Cite \textit{W. Lin} and \textit{B. Dai}, J. Comb. Optim. 29, No. 3, 655--669 (2015; Zbl 1336.90097) Full Text: DOI
Archetti, Claudia; Bianchessi, Nicola; Hertz, Alain; Colombet, Adrien; Gagnon, François Directed weighted improper coloring for cellular channel allocation. (English) Zbl 1306.05049 Discrete Appl. Math. 182, 46-60 (2015). MSC: 05C15 05C22 05A18 05C20 94A13 94A40 PDF BibTeX XML Cite \textit{C. Archetti} et al., Discrete Appl. Math. 182, 46--60 (2015; Zbl 1306.05049) Full Text: DOI
Murugan, Muthali \(L(2,1)\)-labeling for subdivisions of cycle dominated graphs. (English) Zbl 1393.05233 Bull. Comput. Appl. Math. 2, No. 2, 7-19 (2014). MSC: 05C78 05C69 05C12 PDF BibTeX XML Cite \textit{M. Murugan}, Bull. Comput. Appl. Math. 2, No. 2, 7--19 (2014; Zbl 1393.05233) Full Text: Link
Kim, Byeong Moon; Song, Byung Chul; Rho, Yoomi; Hwang, Woonjae New \(L(j,k)\)-labelings for direct products of complete graphs. (English) Zbl 1357.05135 Taiwanese J. Math. 18, No. 3, 793-807 (2014). MSC: 05C78 PDF BibTeX XML Cite \textit{B. M. Kim} et al., Taiwanese J. Math. 18, No. 3, 793--807 (2014; Zbl 1357.05135) Full Text: DOI
He, Dan; Lin, Wensong \(L(1,2)\)-edge-labeling for necklaces. (English) Zbl 1340.05229 J. Southeast Univ., Engl. Ed. 30, No. 4, 550-554 (2014). MSC: 05C78 PDF BibTeX XML Cite \textit{D. He} and \textit{W. Lin}, J. Southeast Univ., Engl. Ed. 30, No. 4, 550--554 (2014; Zbl 1340.05229) Full Text: DOI
Coufal, Vesta; Ray, Rob; Villalpando, John; Yerion, Kathie The cardinality of the image of \(L(2,1)\)-colorings and irreducible \(L (2, 1)\)-colorings. (English) Zbl 1314.05063 Congr. Numerantium 220, 97-108 (2014). MSC: 05C15 05C82 PDF BibTeX XML Cite \textit{V. Coufal} et al., Congr. Numerantium 220, 97--108 (2014; Zbl 1314.05063)
Bahls, Patrick; Mahoney, Thomas Utility and expandability of channel assignments. (English) Zbl 1340.05227 Ars Comb. 114, 73-85 (2014). MSC: 05C78 05C22 94A40 PDF BibTeX XML Cite \textit{P. Bahls} and \textit{T. Mahoney}, Ars Comb. 114, 73--85 (2014; Zbl 1340.05227)
Jahanshahi, Mohsen; Barmi, Alireza Talebi Multicast routing protocols in wireless mesh networks: a survey. (English) Zbl 1314.68044 Computing 96, No. 11, 1029-1057 (2014). MSC: 68M12 68-02 PDF BibTeX XML Cite \textit{M. Jahanshahi} and \textit{A. T. Barmi}, Computing 96, No. 11, 1029--1057 (2014; Zbl 1314.68044) Full Text: DOI
Zhou, Haiying; Shiu, Wai Chee; Lam, Peter Che Bor Notes on \(L(1,1)\) and \(L(2,1)\) labelings for \(n\)-cube. (English) Zbl 1331.90092 J. Comb. Optim. 28, No. 3, 626-638 (2014). MSC: 90C35 PDF BibTeX XML Cite \textit{H. Zhou} et al., J. Comb. Optim. 28, No. 3, 626--638 (2014; Zbl 1331.90092) Full Text: DOI
King, Deborah; Li, Yang; Zhou, Sanming Linear and cyclic distance-three labellings of trees. (English) Zbl 1297.05204 Discrete Appl. Math. 178, 109-120 (2014). MSC: 05C78 05C12 05C05 68W25 PDF BibTeX XML Cite \textit{D. King} et al., Discrete Appl. Math. 178, 109--120 (2014; Zbl 1297.05204) Full Text: DOI arXiv
Junosza-Szaniawski, Konstanty; Rzążewski, Paweł An exact algorithm for the generalized list \(T\)-coloring problem. (English) Zbl 1294.05075 Discrete Math. Theor. Comput. Sci. 16, No. 3, 77-94 (2014). MSC: 05C15 05C78 05C85 PDF BibTeX XML Cite \textit{K. Junosza-Szaniawski} and \textit{P. Rzążewski}, Discrete Math. Theor. Comput. Sci. 16, No. 3, 77--94 (2014; Zbl 1294.05075) Full Text: Link arXiv
Nishikawa, Kazuhide; Nishizeki, Takao; Zhou, Xiao Bandwidth consecutive multicolorings of graphs. (English) Zbl 1419.05079 Theor. Comput. Sci. 532, 64-72 (2014). MSC: 05C15 05C85 PDF BibTeX XML Cite \textit{K. Nishikawa} et al., Theor. Comput. Sci. 532, 64--72 (2014; Zbl 1419.05079) Full Text: DOI
Bu, Yuehua; Finbow, Stephen; Liu, Daphne Der-Fen; Zhu, Xuding List backbone colouring of graphs. (English) Zbl 1284.05092 Discrete Appl. Math. 167, 45-51 (2014). MSC: 05C15 PDF BibTeX XML Cite \textit{Y. Bu} et al., Discrete Appl. Math. 167, 45--51 (2014; Zbl 1284.05092) Full Text: DOI
Aubry, Yves; Godin, Jean-Christophe; Togni, Olivier Every triangle-free induced subgraph of the triangular lattice is \((5m,2m)\)-choosable. (English) Zbl 1283.05182 Discrete Appl. Math. 166, 51-58 (2014). MSC: 05C60 05C22 94A12 PDF BibTeX XML Cite \textit{Y. Aubry} et al., Discrete Appl. Math. 166, 51--58 (2014; Zbl 1283.05182) Full Text: DOI
Vaidya, S. K.; Bantva, D. D. Radio number for strong product \(P_2 \boxtimes P_n\). (English) Zbl 1368.05129 Malaya J. Mat. 1, No. 2, 29-36 (2013). MSC: 05C78 PDF BibTeX XML Cite \textit{S. K. Vaidya} and \textit{D. D. Bantva}, Malaya J. Mat. 1, No. 2, 29--36 (2013; Zbl 1368.05129) Full Text: Link
Calamoneri, Tiziana Optimal \(L(\delta_1,\delta_2,1)\)-labeling of eight-regular grids. (English) Zbl 1358.05243 Inf. Process. Lett. 113, No. 10-11, 361-364 (2013). MSC: 05C78 PDF BibTeX XML Cite \textit{T. Calamoneri}, Inf. Process. Lett. 113, No. 10--11, 361--364 (2013; Zbl 1358.05243) Full Text: DOI
Kumar, Neeraj; Chilamkurti, Naveen; Lee, Jong-Hyouk UBMR-CA: utility-based multicast routing and channel assignment with varying traffic demands in multi-radio multi-channel wireless mesh networks. (English) Zbl 1286.94054 Math. Comput. Modelling 57, No. 11-12, 2750-2763 (2013). MSC: 94A40 94C15 PDF BibTeX XML Cite \textit{N. Kumar} et al., Math. Comput. Modelling 57, No. 11--12, 2750--2763 (2013; Zbl 1286.94054) Full Text: DOI
Junosza-Szaniawski, Konstanty; Kratochvíl, Jan; Liedloff, Mathieu; Rzążewski, Paweł Determining the \(L(2,1)\)-span in polynomial space. (English) Zbl 1286.05148 Discrete Appl. Math. 161, No. 13-14, 2052-2061 (2013). MSC: 05C78 05C85 05C90 94A40 PDF BibTeX XML Cite \textit{K. Junosza-Szaniawski} et al., Discrete Appl. Math. 161, No. 13--14, 2052--2061 (2013; Zbl 1286.05148) Full Text: DOI arXiv
Dai, Benqiu; Lin, Wensong On \((s,t)\)-relaxed \(L(2,1)\)-labelings of the square lattice. (English) Zbl 1285.05158 Inf. Process. Lett. 113, No. 19-21, 704-709 (2013). MSC: 05C78 PDF BibTeX XML Cite \textit{B. Dai} and \textit{W. Lin}, Inf. Process. Lett. 113, No. 19--21, 704--709 (2013; Zbl 1285.05158) Full Text: DOI
Witkowski, Rafał; Žerovnik, Janez 1-local 33/24-competitive algorithm for multicoloring hexagonal graphs. (English) Zbl 1281.68226 Discrete Math. Theor. Comput. Sci. 15, No. 3, 127-138 (2013). MSC: 68W15 68W25 05C85 05C15 68R10 PDF BibTeX XML Cite \textit{R. Witkowski} and \textit{J. Žerovnik}, Discrete Math. Theor. Comput. Sci. 15, No. 3, 127--138 (2013; Zbl 1281.68226) Full Text: Link
Lü, Damei; Lin, Nianfeng \(L(d,1)\)-labelings of the edge-path-replacement of a graph. (English) Zbl 1282.90218 J. Comb. Optim. 26, No. 4, 819-831 (2013). MSC: 90C35 PDF BibTeX XML Cite \textit{D. Lü} and \textit{N. Lin}, J. Comb. Optim. 26, No. 4, 819--831 (2013; Zbl 1282.90218) Full Text: DOI
Kim, Byeong Moon; Song, Byung Chul; Hwang, Woonjae Distance three labellings for \(K _n\times K_2\). (English) Zbl 1273.05193 Int. J. Comput. Math. 90, No. 5, 906-911 (2013). MSC: 05C78 05C12 05C05 05C51 68R10 68M10 PDF BibTeX XML Cite \textit{B. M. Kim} et al., Int. J. Comput. Math. 90, No. 5, 906--911 (2013; Zbl 1273.05193) Full Text: DOI
Damei, Lü \(L(2, 1)\)-labelings of the edge-path-replacement of a graph. (English) Zbl 1275.90115 J. Comb. Optim. 26, No. 2, 385-392 (2013). MSC: 90C35 90C27 PDF BibTeX XML Cite \textit{L. Damei}, J. Comb. Optim. 26, No. 2, 385--392 (2013; Zbl 1275.90115) Full Text: DOI
Hasunuma, Toru; Ishii, Toshimasa; Ono, Hirotaka; Uno, Yushi A linear time algorithm for \(L(2,1)\)-labeling of trees. (English) Zbl 1292.05246 Algorithmica 66, No. 3, 654-681 (2013). MSC: 05C85 05C78 05C15 68Q25 PDF BibTeX XML Cite \textit{T. Hasunuma} et al., Algorithmica 66, No. 3, 654--681 (2013; Zbl 1292.05246) Full Text: DOI
Saha, Laxman; Panigrahi, Pratima A graph radio \(k\)-coloring algorithm. (English) Zbl 1293.68207 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, 125-129 (2012). MSC: 68R10 05C15 05C85 PDF BibTeX XML Cite \textit{L. Saha} and \textit{P. Panigrahi}, Lect. Notes Comput. Sci. 7643, 125--129 (2012; Zbl 1293.68207) Full Text: DOI
Vaidya, S. K.; Bantva, D. D. Distance two labeling of generalized cacti. (English) Zbl 1258.05108 Int. J. Math. Comb. 2012, No. 2, 103-109 (2012). MSC: 05C78 94A12 PDF BibTeX XML Cite \textit{S. K. Vaidya} and \textit{D. D. Bantva}, Int. J. Math. Comb. 2012, No. 2, 103--109 (2012; Zbl 1258.05108)
Huang, Yuan-Zhen; Chiang, Chun-Ying; Huang, Liang-Hao; Yeh, Hong-Gwa On \(L(2,1)\)-labeling of generalized Petersen graphs. (English) Zbl 1261.90075 J. Comb. Optim. 24, No. 3, 266-279 (2012). MSC: 90C35 90B80 PDF BibTeX XML Cite \textit{Y.-Z. Huang} et al., J. Comb. Optim. 24, No. 3, 266--279 (2012; Zbl 1261.90075) Full Text: DOI
Aubry, Yves; Godin, Jean-Christophe; Togni, Olivier Vectorial solutions to list multicoloring problems on graphs. (English) Zbl 1248.05082 Adv. Appl. Discrete Math. 9, No. 2, 65-81 (2012). MSC: 05C22 05C15 05C38 PDF BibTeX XML Cite \textit{Y. Aubry} et al., Adv. Appl. Discrete Math. 9, No. 2, 65--81 (2012; Zbl 1248.05082) Full Text: Link
Havet, Frédéric; Reed, Bruce; Sereni, Jean-Sébastien Griggs and Yeh’s conjecture and \(L(p,1)\)-labelings. (English) Zbl 1245.05110 SIAM J. Discrete Math. 26, No. 1, 145-168 (2012). MSC: 05C78 05C15 PDF BibTeX XML Cite \textit{F. Havet} et al., SIAM J. Discrete Math. 26, No. 1, 145--168 (2012; Zbl 1245.05110) Full Text: DOI
Nishikawa, Kazuhide; Nishizeki, Takao; Zhou, Xiao Algorithms for bandwidth consecutive multicolorings of graphs (extended abstract). (English) Zbl 1304.05139 Snoeyink, Jack (ed.) et al., Frontiers in algorithmics and algorithmic aspects in information and management. Joint international conference, FAW-AAIM 2012, Beijing, China, May 14–16, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-29699-4/pbk). Lecture Notes in Computer Science 7285, 117-128 (2012). MSC: 05C85 05C15 05C78 PDF BibTeX XML Cite \textit{K. Nishikawa} et al., Lect. Notes Comput. Sci. 7285, 117--128 (2012; Zbl 1304.05139) Full Text: DOI
Adams, Sarah Spence; Booth, Paul; Jaffe, Harold; Troxell, Denise Sakai; Zinnen, S. Luke Exact \(\lambda\)-numbers of generalized Petersen graphs of certain higher-orders and on Möbius strips. (English) Zbl 1239.05160 Discrete Appl. Math. 160, No. 4-5, 436-447 (2012). MSC: 05C78 05C38 05C70 PDF BibTeX XML Cite \textit{S. S. Adams} et al., Discrete Appl. Math. 160, No. 4--5, 436--447 (2012; Zbl 1239.05160) Full Text: DOI
Saha, Laxman; Panigrahi, Pratima Antipodal number of some powers of cycles. (English) Zbl 1239.05074 Discrete Math. 312, No. 9, 1550-1557 (2012). MSC: 05C15 PDF BibTeX XML Cite \textit{L. Saha} and \textit{P. Panigrahi}, Discrete Math. 312, No. 9, 1550--1557 (2012; Zbl 1239.05074) Full Text: DOI
Cygan, Marek; Kowalik, Łukasz Channel assignment via fast zeta transform. (English) Zbl 1260.68170 Inf. Process. Lett. 111, No. 15, 727-730 (2011). MSC: 68Q25 05C85 05C78 PDF BibTeX XML Cite \textit{M. Cygan} and \textit{Ł. Kowalik}, Inf. Process. Lett. 111, No. 15, 727--730 (2011; Zbl 1260.68170) Full Text: DOI
Muthumalai, Albert; Rajasingh, Indra; Shanthi, A. S. Packing of hexagonal networks. (English) Zbl 1248.05160 J. Comb. Math. Comb. Comput. 79, 121-127 (2011). MSC: 05C70 68M10 68R10 05C82 05C90 PDF BibTeX XML Cite \textit{A. Muthumalai} et al., J. Comb. Math. Comb. Comput. 79, 121--127 (2011; Zbl 1248.05160)
Saha, Laxman; Panigrahi, Pratima; Kumar, Pawan On radio number of power of cycles. (English) Zbl 1242.05101 Asian-Eur. J. Math. 4, No. 3, 523-544 (2011). MSC: 05C15 05C78 05C12 PDF BibTeX XML Cite \textit{L. Saha} et al., Asian-Eur. J. Math. 4, No. 3, 523--544 (2011; Zbl 1242.05101) Full Text: DOI
Chen, Huazhu; Fan, Suohai The \(L(2,1)\)-labeling of certain generalized Petersen graphs. (Chinese. English summary) Zbl 1249.05335 J. Jinan Univ., Nat. Sci. Med. Ed. 32, No. 1, 22-25 (2011). MSC: 05C78 PDF BibTeX XML Cite \textit{H. Chen} and \textit{S. Fan}, J. Jinan Univ., Nat. Sci. Med. Ed. 32, No. 1, 22--25 (2011; Zbl 1249.05335)
Mabed, Hakim; Caminada, Alexandre; Hao, Jin-Kao Genetic tabu search for robust fixed channel assignment under dynamic traffic data. (English) Zbl 1242.90056 Comput. Optim. Appl. 50, No. 3, 483-506 (2011). MSC: 90B20 90B10 90C59 PDF BibTeX XML Cite \textit{H. Mabed} et al., Comput. Optim. Appl. 50, No. 3, 483--506 (2011; Zbl 1242.90056) Full Text: DOI
Held, Ryan; Jacob, Jobby On the graphs whose \(L(2,1)\)-span is the same as their inh \(L(2,1)\)-span. (English) Zbl 1247.05080 Congr. Numerantium 210, 169-179 (2011). MSC: 05C15 05C90 PDF BibTeX XML Cite \textit{R. Held} and \textit{J. Jacob}, Congr. Numerantium 210, 169--179 (2011; Zbl 1247.05080)
Wang, Haoli; Xu, Xirong; Yang, Yuansheng; Zhang, Baosheng; Luo, Meiqin; Wang, Guoqing Radio number of ladder graphs. (English) Zbl 1232.05214 Int. J. Comput. Math. 88, No. 10, 2026-2034 (2011). MSC: 05C78 05C38 05C12 PDF BibTeX XML Cite \textit{H. Wang} et al., Int. J. Comput. Math. 88, No. 10, 2026--2034 (2011; Zbl 1232.05214) Full Text: DOI
Chudá, Karina \(S(2, 1)\)-labeling of graphs with cyclic structure. (English) Zbl 1233.05175 Acta Univ. M. Belii, Ser. Math. 18, 29-33 (2011). MSC: 05C78 PDF BibTeX XML Cite \textit{K. Chudá}, Acta Univ. M. Belii, Ser. Math. 18, 29--33 (2011; Zbl 1233.05175) Full Text: Link
Magnant, Colton; Martin, Daniel M. Coloring rectangular blocks in 3-space. (English) Zbl 1284.05105 Discuss. Math., Graph Theory 31, No. 1, 161-170 (2011). MSC: 05C15 05C62 PDF BibTeX XML Cite \textit{C. Magnant} and \textit{D. M. Martin}, Discuss. Math., Graph Theory 31, No. 1, 161--170 (2011; Zbl 1284.05105) Full Text: DOI
Jobby, Jacob; Laskar, Renu; Villalpando, John On the irreducible no-hole \(L(2,1)\) coloring of bipartite graphs and Cartesian products. (English) Zbl 1234.05089 J. Comb. Math. Comb. Comput. 78, 49-64 (2011). MSC: 05C15 05C76 PDF BibTeX XML Cite \textit{J. Jobby} et al., J. Comb. Math. Comb. Comput. 78, 49--64 (2011; Zbl 1234.05089)
Bahls, Patrick Channel assignment on Cayley graphs. (English) Zbl 1222.05228 J. Graph Theory 67, No. 3, 169-177 (2011). MSC: 05C78 05C15 90B18 PDF BibTeX XML Cite \textit{P. Bahls}, J. Graph Theory 67, No. 3, 169--177 (2011; Zbl 1222.05228) Full Text: DOI
Yu, Yuan; Hua, Yingbo Power allocation for a MIMO relay system with multiple-antenna users. (English) Zbl 1392.94551 IEEE Trans. Signal Process. 58, No. 5, 2823-2835 (2010). MSC: 94A12 94A40 90C90 90B80 PDF BibTeX XML Cite \textit{Y. Yu} and \textit{Y. Hua}, IEEE Trans. Signal Process. 58, No. 5, 2823--2835 (2010; Zbl 1392.94551) Full Text: DOI
Si, Weisheng; Selvakennedy, Selvadurai; Zomaya, Albert Y. An overview of channel assignment methods for multi-radio multi-channel wireless mesh networks. (English) Zbl 1233.68085 J. Parallel Distrib. Comput. 70, No. 5, 505-524 (2010). MSC: 68M14 PDF BibTeX XML Cite \textit{W. Si} et al., J. Parallel Distrib. Comput. 70, No. 5, 505--524 (2010; Zbl 1233.68085) Full Text: DOI
Li, Liangchen An approximation algorithm for channel assignment with certain constraints. (Chinese. English summary) Zbl 1240.05292 J. Huazhong Norm. Univ., Nat. Sci. 44, No. 3, 353-356 (2010). MSC: 05C85 05C90 PDF BibTeX XML Cite \textit{L. Li}, J. Huazhong Norm. Univ., Nat. Sci. 44, No. 3, 353--356 (2010; Zbl 1240.05292)
Zhao, Xiaoling; Lü, Changhong The \(L(2,1)\)-labelings on a class of connected full colorable graphs. (Chinese. English summary) Zbl 1240.05272 J. Yangzhou Univ., Nat. Sci. Ed. 13, No. 4, 9-12 (2010). MSC: 05C78 05C15 05C40 PDF BibTeX XML Cite \textit{X. Zhao} and \textit{C. Lü}, J. Yangzhou Univ., Nat. Sci. Ed. 13, No. 4, 9--12 (2010; Zbl 1240.05272)