Eigenvalues and factors: a survey

التفاصيل البيبلوغرافية
العنوان: Eigenvalues and factors: a survey
المؤلفون: Fan, Dandan, Lin, Huiqiu, Lu, Hongliang, O, Suil
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics
الوصف: A factor of a graph is a spanning subgraph satisfying some given conditions. An earlier survey of factors can be traced back to the Akiyama and Kano [J. Graph Theory, 1985, 9: 1-42] in which they described the characterization of factors in (bipartite) graphs and digraphs, respectively. Soon after, Kouider and Vestergaard summarized the findings related to connected factors [Graphs Combin., 2005, 21(1): 1-26]. Plummer extended the aforementioned research by providing a comprehensive overview of progress made in the study of graph factors and factorization from 1985 to 2003 [Discrete Math., 2007, 7-8: 791-821]. In this paper, we aim to summarize the relevant results regarding factors from the perspective of eigenvalues.
Comment: Comments are very welcome!
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2312.15902
رقم الأكسشن: edsarx.2312.15902
قاعدة البيانات: arXiv