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| 1 | On the adjacent-vertex-strongly-distinguishing total coloring of graphs显示文摘For any vertex u∈V(G), let TN(U)={u}∪{uv|uv∈E(G), v∈v(G)}∪{v∈v(G)|uv∈E(G)}and let f be a total k-coloring of G. The total-color neighbor of a vertex u of G is the color set Cf(u)={f(x)|x∈TN(U)}. For any two adjacent vertices x and y of V(G)such that Cf(x)≠Cf(y), we refer to f as a k-avsdt-coloring of G('avsdt'is the abbreviation of'adjacent-vertex-strongly- distinguishing total'). The avsdt-coloring number of G, denoted by Xast(G), is the minimal number of colors required for a avsdt-coloring of G. In this paper, the avsdt-coloring numbers on some familiar graphs are studied, such as paths, cycles, complete graphs, complete bipartite graphs and so on. We proveΔ(G)+1≤Xast(G)≤Δ(G)+2 for any tree or unique cycle graph G. | ZHANG ZhongFu CHENG Hui YAO Bing LI JingWen CHEN XiangEn XU BaoGen | 2008 | Science China Mathematics2008，51，3： | 74 |
| 2 | Characteristics of Long Air Gap Discharge Current Subjected to Switching Impulse显示文摘Measuring the pre-breakdown current of long sparks in air is important for investigating the discharge mechanism.Since the breakdown of long air gaps is conducted by a series of streamer-leader processes,the corresponding current signals cover a bandwidth of 0 to more than 20 MHz.Measurement accuracy of the current from the high voltage side is affected by the displacement current and impulse electromagnetic interference.In this paper,a coaxial current sensor with a DC bandwidth of 74.45 MHz is developed.A displacement current-restrained electrode structure is proposed to reduce the equivalent capacitance between the current sensor and the ground over 30 times.Combined with the digital optical fiber synchronous acquisition unit,a current measurement system for long air gap discharge is established.For the purpose of the UHV system’s external insulation optimization design,the discharge current waveform of a 6 m rod-plane air gap under positive switching impulse voltage with 250µs and 1000µs time to crest is obtained.Discharge images and stressed voltage are combined to analyze the continuous feature of a current waveform under critical time to crest impulse and discontinuous feature under long front duration impulse.For the purposes of a lightning protection study,the current waveform of a 10 m rod-plane air gap is subjected to negative switching impulse.Finally,the pulse characteristics of the current corresponding to the single channel and branching stepped negative leader are discussed. | Yishi Yue Hengxin He Weijiang Chen Junjia He Chuanqi Wu Xiangen Zhao Feng Huo | 2015 | CSEE Journal of Power and Energy Systems2015，1，3： | 13 |
| 3 | D(^)-ver-tex-distinguishing proper edge-coloring of Graphs显示文摘 | ZhangZhongfu Li Jingwen Chen Xiangen | 2006 | ActaMathematica Simca2006，49，3： | 1 |
| 4 | Adjacent-vertex-distinguishing total chromatic numbers of K2n+ I -E(2K2 ) 显示文摘 | CHEN Xiangen ZHANG Zhongfu | 2005 | Journal of Lanzhou University: Natural Sciences2005，41，6： | 1 |
| 5 | Not necessa- rily proper total colourings which are adjacent vertex distinguishing显示文摘 | Chen Xiangen Gao Yuping Yao Bing | 2013 | International Journal of Computer Mathematics2013，90，11： | 1 |
| 6 | Adjacent-vertex-distinguishing total chromatic numbers on K2,+1 -E( P3 ) 显示文摘 | CHEN Xiangen | 2004 | Intemational Journal of Pure and Applied Mathematics2004，13，1： | 1 |
| 7 | On the adjacent vertex distinguishing total coloring numbers of graphs with z: = 3 显示文摘 | CHEN Xiangen | 2008 | Discrete Math2008，308，： | 1 |
| 8 | Research on edge-growing models related with scale-free small-world networks显示文摘 | Yao Bing Yao Ming Chen Xiangen | 2013 | Applied Mechanics and Materials2013，，： | 1 |
| 9 | The general neighbor distinguishing chromatic index of graphs显示文摘 | Li Qing Chen Xiangen Liu Xinsheng | 2007 | Journal of Northwest Normal University2007，43，5： | 1 |
| 10 | On the adjacent vertex distinguishing total coloing number of graphs with A =3显示文摘 | Chen Xiangen | 2008 | Discrete Mathe- matics2008，308，17： | 1 |
| 11 | A note on adjacent strong edge coloring of K(n, m) 显示文摘 | LI Jingwen ZHANG Zhongfu CHEN Xiangen | 2006 | Aeta Mathematic ae Applicate (English Series)2006，22，2： | 1 |
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