Liu, Henry; Magnant, Colton; Saito, Akira; Schiermeyer, Ingo; Shi, Yongtang Gallai-Ramsey number for \(K_4\). (English) Zbl 07202783 J. Graph Theory 94, No. 2, 192-205 (2020). MSC: 05C PDF BibTeX XML Cite \textit{H. Liu} et al., J. Graph Theory 94, No. 2, 192--205 (2020; Zbl 07202783) Full Text: DOI
Lan, Yongxin; Liu, Henry; Qin, Zhongmei; Shi, Yongtang Degree powers in graphs with a forbidden forest. (English) Zbl 1403.05031 Discrete Math. 342, No. 3, 821-835 (2019). MSC: 05C07 PDF BibTeX XML Cite \textit{Y. Lan} et al., Discrete Math. 342, No. 3, 821--835 (2019; Zbl 1403.05031) Full Text: DOI arXiv
Liu, Henry; Sousa, Teresa Turán function and \(H\)-decomposition problem for gem graphs. (English) Zbl 1392.05060 Discuss. Math., Graph Theory 38, No. 3, 717-741 (2018). MSC: 05C35 05C70 PDF BibTeX XML Cite \textit{H. Liu} and \textit{T. Sousa}, Discuss. Math., Graph Theory 38, No. 3, 717--741 (2018; Zbl 1392.05060) Full Text: DOI
Fujita, Shinya; Liu, Henry; Sarkar, Amites Highly connected subgraphs of graphs with given independence number. (English) Zbl 1384.05103 Eur. J. Comb. 70, 212-231 (2018). MSC: 05C40 05C69 PDF BibTeX XML Cite \textit{S. Fujita} et al., Eur. J. Comb. 70, 212--231 (2018; Zbl 1384.05103) Full Text: DOI
Chen, Lin; Li, Xueliang; Liu, Henry; Liu, Jinfeng On various (strong) rainbow connection numbers of graphs. (English) Zbl 1383.05177 Australas. J. Comb. 70, Part 1, 137-156 (2018). MSC: 05C40 05C15 PDF BibTeX XML Cite \textit{L. Chen} et al., Australas. J. Comb. 70, Part 1, 137--156 (2018; Zbl 1383.05177) Full Text: Link arXiv
Lei, Hui; Li, Shasha; Liu, Henry; Shi, Yongtang Rainbow vertex connection of digraphs. (English) Zbl 1386.05077 J. Comb. Optim. 35, No. 1, 86-107 (2018). MSC: 05C20 05C40 PDF BibTeX XML Cite \textit{H. Lei} et al., J. Comb. Optim. 35, No. 1, 86--107 (2018; Zbl 1386.05077) Full Text: DOI arXiv
Lei, Hui; Liu, Henry; Magnant, Colton; Shi, Yongtang Total rainbow connection of digraphs. (English) Zbl 1377.05096 Discrete Appl. Math. 236, 288-305 (2018). MSC: 05C40 05C15 05C20 PDF BibTeX XML Cite \textit{H. Lei} et al., Discrete Appl. Math. 236, 288--305 (2018; Zbl 1377.05096) Full Text: DOI
Liu, Henry; Sousa, Teresa Decompositions of graphs into fans and single edges. (English) Zbl 1365.05231 J. Graph Theory 85, No. 2, 400-411 (2017). MSC: 05C70 05C35 PDF BibTeX XML Cite \textit{H. Liu} and \textit{T. Sousa}, J. Graph Theory 85, No. 2, 400--411 (2017; Zbl 1365.05231) Full Text: DOI
Feng, Lihua; Zhang, Pengli; Liu, Henry; Liu, Weijun; Liu, Minmin; Hu, Yuqin Spectral conditions for some graphical properties. (English) Zbl 1361.05074 Linear Algebra Appl. 524, 182-198 (2017). MSC: 05C50 05C40 05C45 PDF BibTeX XML Cite \textit{L. Feng} et al., Linear Algebra Appl. 524, 182--198 (2017; Zbl 1361.05074) Full Text: DOI
Yang, Xu; Liu, Weijun; Liu, Henry; Feng, Lihua Incidence graphs constructed from t-designs. (English) Zbl 06750213 Appl. Anal. Discrete Math. 10, No. 2, 457-478 (2016). MSC: 05C51 05C50 PDF BibTeX XML Cite \textit{X. Yang} et al., Appl. Anal. Discrete Math. 10, No. 2, 457--478 (2016; Zbl 06750213) Full Text: DOI
Fujita, Shinya; Liu, Henry; Sarkar, Amites Highly connected subgraphs of graphs with given independence number (extended abstract). (English) Zbl 1356.05101 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, 103-108 (2016). MSC: 05C69 05C40 PDF BibTeX XML Cite \textit{S. Fujita} et al., Electron. Notes Discrete Math. 54, 103--108 (2016; Zbl 1356.05101) Full Text: DOI
Feng, Lihua; Cao, Jianxiang; Liu, Weijun; Ding, Shifeng; Liu, Henry The spectral radius of edge chromatic critical graphs. (English) Zbl 1330.05066 Linear Algebra Appl. 492, 78-88 (2016). MSC: 05C15 05C07 15A18 PDF BibTeX XML Cite \textit{L. Feng} et al., Linear Algebra Appl. 492, 78--88 (2016; Zbl 1330.05066) Full Text: DOI
Chen, X. B.; Liu, H. X.; Duan, W. Y. Semi-analytical solutions to wave diffraction of cylindrical structures with a moonpool with a restricted entrance. (English) Zbl 1374.76024 J. Eng. Math. 90, 51-66 (2015). MSC: 76B07 74F10 74J20 PDF BibTeX XML Cite \textit{X. B. Chen} et al., J. Eng. Math. 90, 51--66 (2015; Zbl 1374.76024) Full Text: DOI
Di, Xuan; Liu, Henry X.; Ban, Xuegang (Jeff) X.; Yu, Jeong Whon Submission to the DTA 2012 special issue: On the stability of a boundedly rational day-to-day dynamic. (English) Zbl 1338.90104 Netw. Spat. Econ. 15, No. 3, 537-557 (2015). MSC: 90B20 91A80 91A43 PDF BibTeX XML Cite \textit{X. Di} et al., Netw. Spat. Econ. 15, No. 3, 537--557 (2015; Zbl 1338.90104) Full Text: DOI
Ma, Rui; Ban, Xuegang (Jeff); Pang, Jong-Shi; Liu, Henry X. Submission to the DTA2012 special issue: Approximating time delays in solving continuous-time dynamic user equilibria. (English) Zbl 1338.90112 Netw. Spat. Econ. 15, No. 3, 443-463 (2015). MSC: 90B20 65K05 PDF BibTeX XML Cite \textit{R. Ma} et al., Netw. Spat. Econ. 15, No. 3, 443--463 (2015; Zbl 1338.90112) Full Text: DOI
Ma, Rui; Ban, Xuegang (Jeff); Pang, Jong-Shi; Liu, Henry X. Submission to the DTA2012 special issue: Convergence of time discretization schemes for continuous-time dynamic network loading models. (English) Zbl 1338.90111 Netw. Spat. Econ. 15, No. 3, 419-441 (2015). MSC: 90B20 65K05 93B40 PDF BibTeX XML Cite \textit{R. Ma} et al., Netw. Spat. Econ. 15, No. 3, 419--441 (2015; Zbl 1338.90111) Full Text: DOI
Liu, Henry; Pikhurko, Oleg; Sousa, Teresa Monochromatic clique decompositions of graphs. (English) Zbl 1330.05132 J. Graph Theory 80, No. 4, 287-298 (2015). MSC: 05C70 05C15 05C69 PDF BibTeX XML Cite \textit{H. Liu} et al., J. Graph Theory 80, No. 4, 287--298 (2015; Zbl 1330.05132) Full Text: DOI arXiv
Coutinho, Gabriel; Liu, Henry No Laplacian perfect state transfer in trees. (English) Zbl 1327.05202 SIAM J. Discrete Math. 29, No. 4, 2179-2188 (2015). MSC: 05C50 15A16 81P68 05C05 PDF BibTeX XML Cite \textit{G. Coutinho} and \textit{H. Liu}, SIAM J. Discrete Math. 29, No. 4, 2179--2188 (2015; Zbl 1327.05202) Full Text: DOI arXiv
Fujita, Shinya; Liu, Henry; Magnant, Colton Rainbow \(k\)-connection in dense graphs. (English) Zbl 1320.05040 J. Comb. Math. Comb. Comput. 93, 33-52 (2015). MSC: 05C15 05C40 05C42 05C80 PDF BibTeX XML Cite \textit{S. Fujita} et al., J. Comb. Math. Comb. Comput. 93, 33--52 (2015; Zbl 1320.05040)
Liu, Henry; Mestre, Ângela; Sousa, Teresa Total rainbow \(k\)-connection in graphs. (English) Zbl 1298.05127 Discrete Appl. Math. 174, 92-101 (2014). MSC: 05C15 05C40 PDF BibTeX XML Cite \textit{H. Liu} et al., Discrete Appl. Math. 174, 92--101 (2014; Zbl 1298.05127) Full Text: DOI
Liu, Henry; Sousa, Teresa Monochromatic \(K_{r}\)-decompositions of graphs. (English) Zbl 1294.05128 J. Graph Theory 76, No. 2, 89-100 (2014). MSC: 05C70 05C15 PDF BibTeX XML Cite \textit{H. Liu} and \textit{T. Sousa}, J. Graph Theory 76, No. 2, 89--100 (2014; Zbl 1294.05128) Full Text: DOI
Carpentier, Rui Pedro; Liu, Henry; Silva, Manuel; Sousa, Teresa Rainbow connection for some families of hypergraphs. (English) Zbl 1288.05142 Discrete Math. 327, 40-50 (2014). MSC: 05C40 05C75 05C15 05C35 PDF BibTeX XML Cite \textit{R. P. Carpentier} et al., Discrete Math. 327, 40--50 (2014; Zbl 1288.05142) Full Text: DOI
Liu, Henry; Mestre, Ângela; Sousa, Teresa Rainbow vertex \(k\)-connection in graphs. (English) Zbl 1285.05066 Discrete Appl. Math. 161, No. 16-17, 2549-2555 (2013). MSC: 05C15 05C40 PDF BibTeX XML Cite \textit{H. Liu} et al., Discrete Appl. Math. 161, No. 16--17, 2549--2555 (2013; Zbl 1285.05066) Full Text: DOI
Fujita, Shinya; Liu, Henry The balanced decomposition number of \({TK}_4\) and series-parallel graphs. (English) Zbl 1293.05105 Discuss. Math., Graph Theory 33, No. 2, 347-359 (2013). MSC: 05C15 05C40 05C70 PDF BibTeX XML Cite \textit{S. Fujita} and \textit{H. Liu}, Discuss. Math., Graph Theory 33, No. 2, 347--359 (2013; Zbl 1293.05105) Full Text: DOI
Fujita, Shinya; Liu, Henry; Magnant, Colton Rainbow \(k\)-connection in dense graphs (extended abstract). (English) Zbl 1274.05157 Nešetřil, Jarik (ed.) et al., Extended abstracts of the sixth European conference on combinatorics, graph theory and applications, EuroComb 2011, Budapest, Hungary, August 29 – September 2, 2011. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 38, 361-366 (2011). MSC: 05C15 05C40 05C42 PDF BibTeX XML Cite \textit{S. Fujita} et al., Electron. Notes Discrete Math. 38, 361--366 (2011; Zbl 1274.05157) Full Text: Link
He, Xiaozheng; Liu, Henry X. Inverse variational inequalities with projection-based solution methods. (English) Zbl 1208.90168 Eur. J. Oper. Res. 208, No. 1, 12-18 (2011). MSC: 90C33 PDF BibTeX XML Cite \textit{X. He} and \textit{H. X. Liu}, Eur. J. Oper. Res. 208, No. 1, 12--18 (2011; Zbl 1208.90168) Full Text: DOI
Fujita, Shinya; Liu, Henry The balanced decomposition number and vertex connectivity. (English) Zbl 1222.05210 SIAM J. Discrete Math. 24, No. 4, 1597-1616 (2010). MSC: 05C70 05C40 05C15 PDF BibTeX XML Cite \textit{S. Fujita} and \textit{H. Liu}, SIAM J. Discrete Math. 24, No. 4, 1597--1616 (2010; Zbl 1222.05210) Full Text: DOI
Fujita, Shinya; Liu, Henry Further results on the balanced decomposition number. (English) Zbl 1229.05229 Congr. Numerantium 202, 119-128 (2010). MSC: 05C70 05C15 PDF BibTeX XML Cite \textit{S. Fujita} and \textit{H. Liu}, Congr. Numerantium 202, 119--128 (2010; Zbl 1229.05229)
He, Bingsheng; He, Xiao-Zheng; Liu, Henry X. Solving a class of constrained ‘black-box’ inverse variational inequalities. (English) Zbl 1181.91148 Eur. J. Oper. Res. 204, No. 3, 391-401 (2010). MSC: 91B52 90C30 49J40 PDF BibTeX XML Cite \textit{B. He} et al., Eur. J. Oper. Res. 204, No. 3, 391--401 (2010; Zbl 1181.91148) Full Text: DOI
Liu, Henry X.; He, Xiaozheng; He, Bingsheng Method of successive weighted averages (MSWA) and self-regulated averaging schemes for solving stochastic user equilibrium problem. (English) Zbl 1178.90066 Netw. Spat. Econ. 9, No. 4, 485-503 (2009). MSC: 90B15 90C15 PDF BibTeX XML Cite \textit{H. X. Liu} et al., Netw. Spat. Econ. 9, No. 4, 485--503 (2009; Zbl 1178.90066) Full Text: DOI
Liu, Henry; Person, Yury Highly connected coloured subgraphs via the regularity Lemma. (English) Zbl 1202.05087 Discrete Math. 309, No. 21, 6277-6287 (2009). MSC: 05C55 05C40 05C15 PDF BibTeX XML Cite \textit{H. Liu} and \textit{Y. Person}, Discrete Math. 309, No. 21, 6277--6287 (2009; Zbl 1202.05087) Full Text: DOI
He, Xiaozheng; Chen, Anthony; Chaovalitwongse, Wanpracha Art; Liu, Henry On the quadratic programming approach for hub location problems. (English) Zbl 1172.90340 Chaovalitwongse, Wanpracha (ed.) et al., Optimization and logistics challenges in the enterprise. New York, NY: Springer (ISBN 978-0-387-88616-9/hbk; 978-0-387-88617-6/ebook). Springer Optimization and Its Applications 30, 211-228 (2009). MSC: 90B10 90C20 90B85 90C35 PDF BibTeX XML Cite \textit{X. He} et al., Springer Optim. Appl. 30, 211--228 (2009; Zbl 1172.90340) Full Text: DOI
Ban, Xuegang (Jeff); Liu, Henry X. A link-node discrete-time dynamic second best toll pricing model with a relaxation solution algorithm. (English) Zbl 1170.90321 Netw. Spat. Econ. 9, No. 2, 243-267 (2009). MSC: 90B06 PDF BibTeX XML Cite \textit{X. Ban} and \textit{H. X. Liu}, Netw. Spat. Econ. 9, No. 2, 243--267 (2009; Zbl 1170.90321) Full Text: DOI
Liu, Henry; Morris, Robert; Prince, Noah Highly connected monochromatic subgraphs of multicolored graphs. (English) Zbl 1202.05079 J. Graph Theory 61, No. 1, 22-44 (2009). MSC: 05C40 05C15 05C35 05C55 PDF BibTeX XML Cite \textit{H. Liu} et al., J. Graph Theory 61, No. 1, 22--44 (2009; Zbl 1202.05079) Full Text: DOI
He, Bingsheng; He, Xiao-Zheng; Liu, Henry X.; Wu, Ting Self-adaptive projection method for co-coercive variational inequalities. (English) Zbl 1163.58305 Eur. J. Oper. Res. 196, No. 1, 43-48 (2009). MSC: 58J35 49J40 PDF BibTeX XML Cite \textit{B. He} et al., Eur. J. Oper. Res. 196, No. 1, 43--48 (2009; Zbl 1163.58305) Full Text: DOI
Liu, Henry; Morris, Robert; Prince, Noah Highly connected multicoloured subgraphs of multicoloured graphs. (English) Zbl 1194.05106 Discrete Math. 308, No. 22, 5096-5121 (2008). MSC: 05C55 05C15 PDF BibTeX XML Cite \textit{H. Liu} et al., Discrete Math. 308, No. 22, 5096--5121 (2008; Zbl 1194.05106) Full Text: DOI arXiv
Ban, Jeff X.; Liu, Henry X.; Ferris, Michael C.; Ran, Bin A general MPCC model and its solution algorithm for continuous network design problem. (English) Zbl 1180.90028 Math. Comput. Modelling 43, No. 5-6, 493-505 (2006). MSC: 90B10 PDF BibTeX XML Cite \textit{J. X. Ban} et al., Math. Comput. Modelling 43, No. 5--6, 493--505 (2006; Zbl 1180.90028) Full Text: DOI