刘木伙 (Muhuo Liu) 简历
华南农业大学，数学与信息(软件)学院，副教授，硕士研究生导师
男，1981年3月生，2014年于南京师范大学获理学博士学位，美国Mathematical Reviews评论员，主要从事结构图论和图谱理论等方面的研究，在《中国科学》、《European J. Combin.》、《Electron. J. Combin.》、《Discrete Math.》、《Discrete Appl. Math.》、《Linear Algebra Appl.》、《Linear Multilinear Algebra》、《Graphs Combin.》等国内外数学学术刊物上发表或被接受科研论文90多篇，其中80多篇发表或被接受在SCI刊源期刊上。第一作者编写的专著《图谱的极值理论》于2017年由广东省科技出版社出版，其英文版于2018年由University of Kragujevac and Faculty of Science Kragujevac出版社出版。
      曾经参加或主持国家自然科学基金、国家自然科学青年基金、江苏省自然科学基金等项目的研究。于2010年入选华南农业大学青年骨干教师培养对象，2011年入选南京师范大学博士学术新人培养计划，2013年获博士研究生国家奖学金，2014年入选广东省高等学校“千百十人才培养工程”第八批校级培养对象，2015年入选广东省高等学校优秀青年教师培养计划。 

(I) 代表论文：
[1] M. Liu, H.-J. Lai, Kinkar Ch. Das,Spectral results on Hamiltonian problem,Discrete Math., 342 (2019) 1718-1730. (SCI)  
[2]Y. Yao, M. Liu (Corresponding author), Francesco Belardo, Chao Yang,Unified extremal results of topological indices and spectral invariants of graphs, Discrete Appl. Math., 271 (2019) 218–232. (SCI)   
[3]M. Liu, H. Shan, X. Gu, Spectral characterization of the complete graph removing a path, Discrete Appl. Math., 284 (2020) 499–512. (SCI)    
[4]M. Liu, X. Gu, Spectral characterization of the complete graph removing a path: Completing the proof of C\'amara-Haemers Conjecture, Discrete Math., 344(2021), 112-275.(SCI)     
[5] M. Liu, B.Xu, On a conjecture of Schweser and Stiebitz, Discrete Appl. Math., 295 (2021) 25–31. (SCI)   
[6] M. Liu, C. Chen, Z. Stanić,On graphs whose second largest eigenvalue is at most 1,European J. Combin., 97 (2021) 103385 . (SCI)        
[7] B. Cheng, M. Liu (Corresponding author), B.-S. Tam, On the nullity of a connected graph in terms of order and maximum degree,Linear Algebra Appl., 632 (2022) 193– 232.(SCI)      
[8] M. Liu, B. Xu, On  connected partition with degree constraints, Discrete Math.,  345 (2022) 112680.(SCI)          
[9] M. Liu,X. Gu, Spectral strengthening of a theorem on transversal critical graphs, Discrete Math.,  345 (2022) 112717. (SCI)           
[10] X. Gu, M. Liu,A tight lower bound on the matching number of graphs via Laplacian eigenvalues,European J. Combin., 101 (2022) 103468.  (SCI)

(II) 其他的论文： 
 [1] B. Liu, Liu M.. On the spread of the spectrum of a graph，Discrete Math.，309 (2009)，2727-2732. (SCI)
[2] M. Liu,B. Liu,Z. You, The majorization theorem of connected graphs，Linear Algebra Appl., 431(2009), 553-557. (SCI)
[3] M. Liu,B. Liu,The signless Laplacian spread, Linear Algebra Appl., 432(2010), 505-514. (SCI)
[4] M. Liu，B. Liu，On the k-th smallest and k-th greatest modified Wiener indices of trees，Discrete Appl. Math.，158 (2010), 699-705. (SCI)
[5] M. Liu, B. Liu,On the spectral radii and the signless Laplacian spectral radii of c-cyclic graphs with fixed maximum degree, Linear Algebra Appl., 435 (2011) 3045-3055. (SCI)
[6] M. Liu,The (signless Laplacian) spectral radii of connected graphs with prescribed degree sequences，Electron. J. Combin., 19(4) (2012), #P35 (SCI)
[7] M. Liu, Lihua You, Bolian Liu, The proof of a conjecture on the lewin number of primitive non-powerful signed digraphs, Linear Algebra Appl., 438 (2013), 2366-2377. (SCI).
[8] K.Ch. Das, K. Xu, M. Liu,On sum of powers of the Laplacian eigenvalues of graphs, Linear Algebra Appl., 439(2013), 3561-3575.(SCI)
[9] M. Liu, B. Liu,The second Zagreb indices of unicyclic graphs with given degree sequences，Discrete Appl. Math.,167 (2014), 217-221 .(SCI)
[10] M. Liu, H. Shan, K. Ch. Das, Some graphs determined by their (signless) Laplacian spectra, Linear Algebra Appl., 449(2014),154-165 (SCI).
[11] M. Liu, B. Liu,The majorization theorem of extremal pseudographs, Linear Algebra Appl., 459(2014), 13-22. (SCI)
[12] K. Ch. Das, M. Liu, H. Shan, Upper bounds on the (signless) Laplacian eigenvalues of graphs, Linear Algebra Appl., 459(2014),334-341. (SCI)
[13] M. Liu, B. Liu, B. Cheng, Ordering (signless) Laplacian spectral radii with maximum degrees of graphs, Discrete Math., 338 (2015), 159-163. (SCI)
[14] M. Liu, B. Xu, Bipartition of graph under degree constraints,Sci. China Math., 58(2015), 869–874. (SCI,《中国科学》英文版).
[15] K.Ch. Das,M. Liu,Complete split graph determined by its (signless) Laplacian spectrum，Discrete Appl. Math.，205(2016), 45-51.(SCI)
[16] H.Shan. M. Liu(Corresponding author), Laplacian spectral radius of c-cyclic graph and maximum vertex degree, Sci Sin Math, (46)2016, 1227–1240(中国科学(中文版)
[17] M. Liu, Y. Zhu, H. Shan, K. Ch. Das,The spectral characterization of butterfly-like graphs,Linear Algebra Appl., 513(2017),55-68.(SCI)
[18] M. Liu, K.Ch. Das，H. Lai，The spectral radii of c-cyclic graphs with n vertices, girth g and k pendant vertices，Linear Multilinear Algebra，65(2017),869-881. (SCI)
[19] G. Zhang,M. Liu, H. Shan, Which Q-cospectral graphs have same degree sequences, Linear Algebra Appl.,520(2017),274-285.(SCI)
[20] M.Liu, B. Xu,On partitions of graphs under degree constrains, Discrete Appl. Math., 226 (2017) 87-93.(SCI).
[21] M. Liu, Y.Yuan, L. You, Z. Chen, Which cospectral graphs have same degree sequences, Discrete Math., 341 (2018), 2969-2976. (SCI)
[22] M.Liu, K. Xu, X.-D. Zhang, Extremal graphs for vertex-degree-based invariants with given degree sequences,Discrete Appl. Math.，255 (2019) 267-277. (SCI)
[23] J. Ye, M. Liu(Corresponding author), Y. Yao, K.Ch. Das, Extremal polygonal cacti for bond Incident degree indices, Discrete Appl. Math.,257 (2019), 289-298. (SCI)
[24] B. Cheng, M. Liu(Corresponding author)， Bolian Liu, Proof of a conjecture on the nullity of a connected graph in terms of order and maximum degree, Linear Algebra Appl., 587 (2020),291-301. (SCI)
[25] M. Liu, K.Cheng, I. Tomescu, Some notes on the extremal k-generalized quasi-unicyclic graphs with respect to Zagreb indices,Discrete Appl. Math., 284 (2020) 616–621. (SCI)
[26] M. Liu, I. Tomescu, J. Liu, Unified extremal results for $k$-apex unicyclic graphs (trees), Discrete Appl. Math., 288 (2021),35-49 (SCI).
[27] M. Liu, K. Cheng, B. Furtula, Minimum augmented Zagreb index of c-cyclic graphs, Discrete Appl. Math., 295 (2021) 32–38. (SCI) 
[28]C. Chen,  M. Liu(Corresponding author), X. Gu, K.C. Das,Extremal  augmented Zagreb index of trees with given numbers of vertices and leaves, Discrete Math., 345 (2022) 112753. (SCI)
[29] C.Chen, M. Liu(Corresponding author), X.Chen, W.Lin,On general ABC-type index of connected graphs, Discrete Appl. Math., 315 (2022) 27–35. (SCI)                                                                                                                                                                                                                      [30] Y. Huang, M. Liu(Corresponding author), F. Belardo, The general spectral radii of (multicone-)graphs with prescribed degree sequence, Linear Multilinear Algebra, 70(2022), 4751–4777. (SCI)
[31]P. Wei, M. Liu(Corresponding author),Note on Sombor index of connected graphs with given degree sequence,Discrete Appl. Math., 330 (2023) 51–55. (SCI)  
[32]M. Liu, S.Pang, F.Belardoc, A.Ali,The k-apex trees with minimum augmented Zagreb index, Discrete Math., 346 (2023) 113390. (SCI)
[33] M. Liu, C.Chen, S.-G.Guo, J.Peng, T.Chen,The Aα-spectral radius of dense graphs,Linear  Multilinear Algebra,71(2023),1044–1053. (SCI)     [34] P. Wei, M. Liu (Corresponding author), I.Gutman,On (exponential) bond incident degree indices of graphs, Discrete Appl. Math., 336 (2023) 141–147 (SCI)           

                                                                                                                                                
(III) 更多的SCI论文：

[1]M. Liu,B. Liu,Degree series of the 3-harmonic graphs,Appl. Math. J. Chinese Univ. 23(2008),481-489
[2] B. Liu, Z. Chen, Liu M., On graphs with largest Laplacian index，Czechoslovak Math. J. 58(4)(2008), 949-960.(SCI)．
[3] B. Liu, Liu M., Z. You，Erratum to "A note on the largest eigenvalue of non-regular graphs"，Electronic J. Linear Algebra，18 (2009), 64-68. (SCI)
[4] M. Liu，B. Liu,New sharp upper bounds for the first Zagreb index,MATCH Commun. Math. Comput. Chem., 62 (2009), 689-698. (SCI)
[5] Liu M., B. Liu, Trees with the seven smallest and fifteen greatest Hyper-Wiener indices, MATCH Commun. Math. Comput. Chem., 63(2010), 151-170. (SCI)
[6] M. Liu, A note on D-Equienergetic graphs, MATCH Commun. Math. Comput. Chem., 64(2010),135-140 (SCI)
[7] M. Liu, A simple approach to order the first Zagreb indices of connected graphs，MATCH Commun. Math. Comput. Chem., 63 (2010)，425-432. (SCI)
[8] M. Liu，Bounds on the spectral radius of the line distance matrix，MATCH Commun. Math. Comput. Chem., 63(2010), 717-724 (SCI).
[9] M. Liu, B. Liu, Some results on the Laplacian spectrum spectrum, Comput. Math. Appl., 59 (2010), 3612-3616. (SCI,EI)
[10] M. Liu，B. Liu，Q. Li，Erratum to The trees on vertices with the first to seventeenth greatest Wiener indices are chemical trees'，MATCH Commun. Math. Comput. Chem., 64 (2010), 743-756. (SCI)
[11] M.Liu，X. Tan, B.Liu，The (signless) Laplacian spectral radius of unicyclic and bicyclic graphs with n vertices and k pendant vertices，Czechoslovak Math. J.，60(3) (2010), 849-867. (SCI)
[12] M.Liu, B. Liu, On the variable Wiener indices of trees with given maximum degree, Math.Comput.Modelling, 52 (2010), 1651-1659. (SCI,EI)
[13] M. Liu，B.Liu，On the Wiener polarity index，MATCH Commun. Math. Comput. Chem., 66 (2011), 293-304 (SCI).
[14] M. Liu, B. Liu,F. Wei,Graphs determined by its (signless) Laplacian spectra, Electronic J. Linear Algebra, 22 (2011), 112-124. (SCI)
[15] M. Liu, B. Liu, A note on sum of powers of the Laplacian eigenvalues of graphs, Appl. Math. Lett., 24 (2011), 249-252 (SCI).
[16] M.Liu，B.Liu, The second Zagreb indices and Wiener polarity indices of trees with given degree sequences，MATCH Commun. Math. Comput. Chem., 67 (2012)，439-450 (SCI)
[17] M.Liu, B.Liu, New method and new results on the order of spectral radius, Comput. Math. Appl., 63(2012) 679-686 (SCI,EI).
[18] M. Liu, B. Liu, Some results on the majorization theorem of connected gaphs，Acta Math.Sin.，Eng. Ser., 28 (2012)，371-328.(SCI).
[19] M. Liu, B. Liu, Some results on the spectral radii of trees, unicyclic and bicyclic graphs, Electronic J. Linear Algebra,23 (2012),327-339 (SCI).
[20] M.Liu，Some graphs determined by their (signless) Laplacian spectra，Czechoslovak Math. J.，62(4) (2012), 1117-1134 (SCI).
[21] M.Liu, B.Liu, On sum of powers of the signless Laplacian eigenvalues of graphs, Hacet. J. Math. Stat., 41(4)(2012), 527-536 (SCI).
[22] M. Liu, The (signless) Laplacian spectrum of c-cyclic graphs with n vertices and k pendant vertices,Electronic J.Linear Algebra, 23(2012),942-952.(SCI)
[23] B. Liu, M. Liu, Z. You,The majorization theorem for signless Laplacian spectral radii of connected graphs, Graphs Combin., 29(2013),281-287.(SCI).
[24] M. Liu, F.Li, K.Ch. Das, Ordering the Zagreb coindices of connected graphs, MATCH Commun. Math. Comput. Chem., 70 (2013),939-948.(SCI)
[25] M.Liu, B.Liu, A note on the LEL-equienergetic graphs, Ars Combin., 113 (2014), 435-439 (SCI).
[26] H.Li, Y. Liang, M. Liu, B. Xu, On minimum balanced bipartitions of triangle-free graphs, J. Comb. Optim. 27 (2014), 557-566. (SCI).
[27] M. Liu, B.Liu, X. Tan, The first nine maximal LEL-invariant of graphs with n vertices, Util. Math., 93(2014), 153-160. (SCI)
[28] M.Liu, F. Wei, B.Liu，On the Laplacian spectral radii of tricyclic graphs，Ars Combin., 114(2014), 129-143. (SCI)
[29] M. Liu, B. Liu, The nine smallest hyper-Wiener indices of trees and the eight smallest Wiener (hyper-Wiener) indices of unicyclic graphs，Util. Math., 95 (2014): 129-139.(SCI)
[30] M. Liu, B.Liu, On the signless Laplacian spectra of bicyclic and tricyclic graphs，Ars Combin.，120(2015), 169-180. (SCI)
[31] I. Gutman, K. Xu, M.Liu, A congruence relation for Wiener and Szeged indices, Filomat, 29:5(2015),1081-1083. (SCI).
[32] M. Liu,B. Liu,R.Li,The strong pseudochromatic number of a graph, Util. Math.,98 (2015),3-21.(SCI)
[33] M. Liu, B.Xu, On judicious partitions of graphs,J. Comb. Optim.,31 (2016), 1383- 1398.(SCI).
[34] K.Ch. Das，M. Liu(Corresponding author),Quotient of spectral radius, (signless) Laplacian spectral radius and clique number of graphs，Czechoslovak Math.J.，66(2016), 1039–1048. (SCI)
[35] K. Ch. Das，M. Liu，Kite graphs determined by their spectra，Applied Math. Comput., 297(2017),74-78. (SCI)
[36] K.Ch. Das，M.Liu (Corresponding author)，Minimal extremal graphs for addition of algebraic connectivity and independence number of connected graphs，Filomat，31(2017), 5545- 5551.(SCI)
[37] M.Liu, Y.Zhu, H.Shan, K.Ch. Das, Erratum to "The spectral characterization of butterfly-like graphs",Linear Algebra Appl., 539(2018), 274-276].(SCI)
[38] M. Liu，K.Ch. Das，On the ordering of distance-based invariants of graphs，Appl. Math. Comput., 324(2018),191-201. (SCI)
[39] K.Ch. Das,M.Liu,On two conjectures of spectral graph theory，Bull. Iran. Math. Soc. , 44(2018),43-51. (SCI)
[40] Y. Yao，M.Liu (Corresponding author)，K.Ch. Das，Y.Ye，Some extremal results for vertex-degree-based invariants，MATCH Commun. Math. Comput. Chem.,81 (2019) 325-344. (SCI)
[41] Y.Yao, M. Liu, X.Gu,Unified extremal results for vertex--degree--based graph invariants with given diameter, MATCH Commun. Math. Comput. Chem.，82(2019), 699-714.(SCI)
[42] M.Liu,Y.Yuan,K.Ch. Das, The fan graph is determined by its signless Laplacian spectrum, Czechoslovak Math. J.,70 (2020), 21-31.（SCI）
[43] M.Liu, Y. Yao, K.Ch. Das,Extremal results for cacti, Bull. Malays. Math. Sci. Soc.,43(2020), 2783-2798. (SCI)
[44] M. Liu, G.Zhang, K.Ch. Das, Some properties of algebraic connectivity, Nation. Academy Sci. Lett., 43(2020), 537–542. (SCI)
[45] M. Liu, Y. Wu, H.-J. Lai,Unified spectral Hamiltonian results of balanced bipartite graphs and complementary graphs,Graphs Combin., 36(2020),1363-1390. (SCI)
[46] X. Tan, M. Liu(Corresponding author), J. Liu, On the Maximal General ABC Index of Graphs with Fixed Maximum Degree, MATCH Commun. Math. Comput. Chem., 85 (2021), 121-130. (SCI).
[47] K.Cheng,M.Liu,Fr.Belardo,The minimal augmented Zagreb index of k-apex trees for k {1,2,3},Appl. Math. Comput.,402(2021),126139. (SCI)
[48] M.Liu, K.C.Das, G.Zhang, The maximum number of spanning trees of a graph with given matching number, Bull. Malays. Math. Sci. Soc., 44 (2021) 3725–3732. 
(SCI)  
[49]W. Zhou, S. Pang, M. Liu,A. Ali,On bond incident degree indices of connected graphs with fixed order and number of pendent vertices, MATCH Commun. Math. Comput. Chem., 88 (2022), 625–642.

(IV) 发表的SCI综述：
[1] M.Liu, B.Liu, A survey on recent results of variable Wiener index,MATCH Commun. Math. Comput. Chem., 69(2013), 491-520. (SCI).
[2] K.Xu, M.Liu, K.Ch. Das, I.Gutman, B.Furtula, A survey on graphs extremal with respect to distance-based topological indices, MATCH Commun. Math. Comput. Chem.,71(2014), 461-508. (SCI).
[3] M.Liu, B.Liu, K.Ch. Das, Recent results on the majorization theory of graph spectrum and topological index theory-a survey, Electronic J.Linear Algebra, 30(2015), 402-421. (SCI).