Spectrum of signless 1-Laplacian on simplicial complexes

doi:10.37236/8951

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	Spectrum of signless 1-Laplacian on simplicial complexes
	Luo, Xin 1,2; Zhang, Dong 3
	2020-05-29
发表期刊	ELECTRONIC JOURNAL OF COMBINATORICS
ISSN	1077-8926
卷号	27 期号:2 页码:26
摘要	We introduce the signless 1-Laplacian and the dual Cheeger constant on simplicial complexes. The connection of its spectrum to the combinatorial properties like independence number, chromatic number and dual Cheeger constant is investigated. Our estimates can be comparable to Hoffman's bounds on Laplacian eigenvalues of simplicial complexes. An interesting inequality involving multiplicity of the largest eigenvalue, independence number and chromatic number is provided, which could be regarded as a variant version of Lovasz sandwich theorem. Also, the behavior of 1-Laplacian under the topological operations of wedge and duplication of motifs is studied. The Courant nodal domain theorem in spectral theory is extended to the setting of signless 1-Laplacian on complexes.
DOI	10.37236/8951
收录类别	SCI
语种	英语
资助项目	China Postdoctoral Science Foundations[BX201700009] ; China Postdoctoral Science Foundations[2019M660829]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000538405700001
出版者	ELECTRONIC JOURNAL OF COMBINATORICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51636
专题	中国科学院数学与系统科学研究院
通讯作者	Luo, Xin
作者单位	1.Hunan Univ, Sch Math, Changsha, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Luo, Xin,Zhang, Dong. Spectrum of signless 1-Laplacian on simplicial complexes[J]. ELECTRONIC JOURNAL OF COMBINATORICS,2020,27(2):26.
APA	Luo, Xin,&Zhang, Dong.(2020).Spectrum of signless 1-Laplacian on simplicial complexes.ELECTRONIC JOURNAL OF COMBINATORICS,27(2),26.
MLA	Luo, Xin,et al."Spectrum of signless 1-Laplacian on simplicial complexes".ELECTRONIC JOURNAL OF COMBINATORICS 27.2(2020):26.