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| 1 | Linear coloring of graphs embeddable in a surface of nonnegative characteristic显示文摘A proper vertex coloring of a graph G is linear if the graph induced by the vertices of any two color classes is the union of vertex-disjoint paths. The linear chromatic number lc(G) of the graph G is the smallest number of colors in a linear coloring of G. In this paper, we prove that every graph G with girth g(G) and maximum degree Δ(G) that can be embedded in a surface of nonnegative characteristic has lc(G) = Δ(2G )+ 1 if there is a pair (Δ, g) ∈ {(13, 7), (9, 8), (7, 9), (5, 10), (3, 13)} such that G satisfies Δ(G) Δ and g(G) g. | WANG WeiFan LI Chao | 2009 | Science China Mathematics2009，52，5： | 4 |
| 2 | On 3-colorability of planar graphs without adjacent short cycles显示文摘A short cycle means a cycle of length at most 7.In this paper,we prove that planar graphs without adjacent short cycles are 3-colorable.This improves a result of Borodin et al.(2005). | WANG YingQian 1,MAO XiangHua 1,LU HuaJing 2 & WANG WeiFan 1 1 College of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua 321004,China 2 College of Basic Science,Ningbo Dahongying University,Ningbo 315175,China | 2010 | Science China Mathematics2010，53，4： | 4 |
| 3 | EQUITABLE COLORINGS OF LINE GRAPHS AND COMPLETE r-PARTITE GRAPHS显示文摘It is shown in this paper that Meyer’s conjecture on the equitable coloring holds for line graphs and complete r-partite graphs. | WANG Weifan (Department of Mathematics, Liaoning University, Shenyang 110036,China) ZHANG Kemin (Department of Mathematics, Nanjing University, Nanjing 210093, China) | 2000 | Systems Science and Mathematical Sciences2000，13，2： | 3 |
| 4 | NanoSIMS imaging method of zircon U-Pb dating显示文摘We report an imaging method of zircon U-Pb dating with NanoSIMS 50 L, which overcomes the significant U-Pb fractionation as the pit was sputtered deeper during conventional spot mode analysis and can be applied to irregular small grains or heterogeneous areas of zircon. The U-Pb and Pb-Pb ages can be acquired simultaneously for 2 μm×2 μm(for small grains) or 1 μm×9 μm(for zoned grains), together with Zr, Y and other trace elements distributions. Using zircon M257 as standard, the U-Pb ages of other zircon standards, including Qinghu, Plesovice, Temora and 91500, were measured to(2σ) as158.8±0.8, 335.9±3.4, 412.0±12 and 1067±12 Ma, respectively, consistent with the recommended values within the analytical uncertainties. Tiny zircon grains in the impact melt breccia of the lunar meteorite SaU 169 were also measured in this study,with a Pb-Pb age of 3912±14 Ma and a U-Pb age of 3917±17 Ma, similar to previous results reported for the same meteorite.The imaging method was also applied to determine U-Pb age of the thin overgrowth rims of Longtan metamorphic zircon, with a Pb-Pb age of 1933±27 Ma and a U-Pb age of 1935±25 Ma, clearly distinct from the Pb-Pb age of 2098±61 Ma and the U-Pb age of 2054±40 Ma for detrital cores. | HU Sen LIN YangTing YANG Wei WANG Wei-(RZ) ZHANG JianChao HAO JiaLong XING WeiFan | 2016 | Science China Earth Sciences2016，59，11： | 2 |
| 5 | Acyclic 6-choosability of planar graphs without adjacent short cycles显示文摘A proper vertex coloring of a graph G is acyclic if G contains no bicolored cycles.Given a list assignment L={L(v)|v∈V}of G,we say that G is acyclically L-colorable if there exists a proper acyclic coloringπof G such thatπ(v)∈L(v)for all v∈V.If G is acyclically L-colorable for any list assignment L with|L(v)|k for all v∈V(G),then G is acyclically k-choosable.In this paper,we prove that every planar graph G is acyclically 6-choosable if G does not contain 4-cycles adjacent to i-cycles for each i∈{3,4,5,6}.This improves the result by Wang and Chen(2009). | WANG WeiFan ZHANG Ge CHEN Min | 2014 | Science China Mathematics2014，57，1： | 2 |
| 6 | Strain-Modulated Photoelectric Responses from a Flexibleα-In_(2)Se_(3)/3R MoS_(2)Heterojunction显示文摘Semiconducting piezoelectricα-In_(2)Se_(3) and 3R MoS_(2) have attracted tremendous attention due to their unique electronic properties.Artificial van der Waals(vdWs)hetero-structures constructed withα-In_(2)Se_(3)and 3R MoS_(2)flakes have shown promising applications in optoelectronics and photocatal-ysis.Here,we present the first flexibleα-In_(2)Se_(3)/3R MoS_(2)vdWs p-n heterojunction devices for photodetection from the visible to near infrared region.These heterojunction devices exhibit an ultrahigh photoresponsivity of 2.9×10^(3)A W^(−1) and a substantial specific detectivity of 6.2×10^(10) Jones under a compressive strain of−0.26%.The photocurrent can be increased by 64%under a tensile strain of+0.35%,due to the heterojunction energy band modulation by piezoelectric polarization charges at the hetero-junction interface.This work demonstrates a feasible approach to enhancement of α-In_(2)Se_(3)/3R MoS_(2) photoelectric response through an appropriate mechanical stimulus. | Weifan Cai Jingyuan Wang Yongmin He Sheng Liu Qihua Xiong Zheng Liu Qing Zhang | 2021 | Nano-Micro Letters2021，13，7： | 2 |
| 7 | Understanding the phase separation characteristics of nucleocapsid protein provides a new therapeutic opportunity against SARS-CoV-2显示文摘Dear Editor To date,tens of millions of people have been infected with severe acute respiratory syndrome coronavirus 2(SARS-CoV-2),causing the outbreak of the respiratory disease named the coronavirus disease 2019(COVID-19).As a newly emerged member of the coronavirus family,SARS-CoV-2 is an enveloped positive-strand RNA virus,which has probably the largest genome(approximately 30 kb)among all RNA viruses.The nucleocapsid(N)protein of SARS-CoV-2 is mainly responsible for recognizing and wrapping viral RNA into helically symmetric structures(Malik,2020). | Dan Zhao Weifan Xu Xiaofan Zhang Xiaoting Wang Yiyue Ge Enming Yuan Yuanpeng Xiong Shenyang Wu Shuya Li Nian Wu Tingzhong Tian Xiaolong Feng Hantao Shu Peng Lang Jingxin Li Fengcai Zhu Xiaokun Shen Haitao Li Pilong Li Jianyang Zeng | 2021 | Protein & Cell2021，12，9： | 1 |
| 8 | Equitable Total Coloring of Graphs with Maximum Degree 3 显示文摘 | Wang Weifan | 2002 | Graphs and Combinatorics2002，18，： | 1 |
| 9 | Edge-face chromatic number of plane graphs with high maximum degree 显示文摘 | Wang Weifan Zhang Kemin | 1998 | Australa J Combin1998，18，： | 1 |
| 10 | Labeling planar graphs without 4-cycles with a conditionon distance two 显示文摘 | WANG Weifan CAI L Z | 2008 | 3 Discrete Applied Mathematics2008，156，： | 1 |
| 11 | Equitable total coloring graphs with maxi- mum dgree 3显示文摘 | Wang Weifan | 2002 | Graphs and Combinatorics2002，18，： | 1 |
| 12 | Labeling planar graphs with conditions on girth and distance two 显示文摘 | WANG Weifan LIH K W | 2003 | SIAM J Discrete Mathemat- ics2003，17，2： | 1 |
| 13 | Upper bounds on the linear chromatic number of a graph显示文摘 | Li Chao Wang Weifan Raspaud A | 2011 | Discrete Math2011，311，4： | 1 |
| 14 | The surviving rate of a graph for the firefighter problem显示文摘 | Cai Leizhen Wang Weifan | 2009 | SlAM J Discrete Math2009，23，4： | 1 |
| 15 | The complete chromatic number of some planar graphs显示文摘 | Zhang Zhongfu Wang Jianfang Wang Weifan | 1993 | Scientia Sinica (Series A)1993，4，： | 1 |
| 16 | Choosability and edge choosability of planar graphs without five cycles 显示文摘 | Wang Weifan Lib K W | 2002 | Appl Math Lett2002，15，5： | 1 |
| 17 | The surviving rate of an infected network显示文摘 | Wang Weifan Finbow S Wang Ping | 2010 | Theoretical Computer Science2010，411，404142： | 1 |
| 18 | Linear coloring of planar graphs with large girth 显示文摘 | Raspaud A Wang Weifan | 2009 | Discrete Math2009，309，18： | 1 |
| 19 | Upper bounds on the linear chromatic number of graph 显示文摘 | Li Chao Wang Weifan Raspaud A | 2011 | Discrete Math2011，311，4： | 1 |
| 20 | Labeling planar graphs with conditions on girth and distance two显示文摘 | WANG Weifan LIH K W | 2003 | SIAM J Discrete Mathema-tics2003，17，2： | 1 |
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