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	CONVOLUTION PRESERVES PARTIAL SYNCHRONICITY OF LOG-CONCAVE SEQUENCES
	Hu, Han ; Wang, David G. L. ; Zhao, Feng ; Zhao, Tongyuan
	2017
关键词	Log-concavity synchronicity sequence convolution combinatorial inequality NEGATIVE DEPENDENCE GENUS DISTRIBUTIONS GEOMETRY
英文摘要	In a recent proof of the log-concavity of genus polynomials of some families of graphs, Gross et al. defined the weak synchronicity relation between log-concave sequences, and conjectured that the convolution operation by any log-concave sequence preserves weak synchronicity. In this paper we disprove it by providing a counterexample. Furthermore, we introduce the so-called partial synchronicity relation between log-concave sequences, which is proved to be (i) weaker than synchronicity, (ii) stronger than weak synchronicity, and (iii) preserved by the convolution operation.; National Natural Science Foundation of China [11671037]; Beijing Institute of Technology Research Fund Program for Young Scholars [2015CX04016]; China's 973 Program project [2013CB834201]; SCI(E); ARTICLE; 1; 91-103; 20
语种	英语
出处	SCI
出版者	MATHEMATICAL INEQUALITIES & APPLICATIONS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/476177]
专题	数学科学学院
推荐引用方式 GB/T 7714	Hu, Han,Wang, David G. L.,Zhao, Feng,et al. CONVOLUTION PRESERVES PARTIAL SYNCHRONICITY OF LOG-CONCAVE SEQUENCES. 2017-01-01.

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