Some Properties of the Signless Laplacian and Normalized Laplacian Tensors of General Hypergraphs

التفاصيل البيبلوغرافية
العنوان: Some Properties of the Signless Laplacian and Normalized Laplacian Tensors of General Hypergraphs
المؤلفون: Ligong Wang, Cunxiang Duan, Xihe Li
المصدر: Taiwanese J. Math. 24, no. 2 (2020), 265-281
بيانات النشر: Mathematical Society of the Republic of China, 2020.
سنة النشر: 2020
مصطلحات موضوعية: 15A18, Degree (graph theory), General Mathematics, 010102 general mathematics, signless Laplacian tensor, edge connectivity, Mathematics::Spectral Theory, Signless laplacian, 01 natural sciences, Upper and lower bounds, $H^{+}$-eigenvalue, 010101 applied mathematics, Combinatorics, general hypergraph, Rank (graph theory), normalized Laplacian tensor, 05C40, 0101 mathematics, 05C50, Laplace operator, Eigenvalues and eigenvectors, Mathematics
الوصف: In this paper, we obtain some properties of signless Laplacian eigenvalues of general hypergraphs. We give the upper and the lower bound of edge connectivity of general hypergraphs in terms of average degree, minimum degree, the rank and the number of vertices, or analytic connectivity $\alpha(G)$, respectively. We also give the upper bound of analytic connectivity $\alpha(G)$ of general hypergraphs in terms of the degrees of vertices. Finally, we obtain the bounds of the smallest $H^{+}$-eigenvalue of the normalized Laplacian sub-tensors of general hypergraphs.
وصف الملف: application/pdf
اللغة: English
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::163aa1cee29cbe61e3c33d836eb50248
https://projecteuclid.org/euclid.twjm/1562054420
Rights: OPEN
رقم الانضمام: edsair.doi.dedup.....163aa1cee29cbe61e3c33d836eb50248
قاعدة البيانات: OpenAIRE