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A characterization of the graphs with high degree sum that are not covered by three cycles
Chiba, Shuya1; Tsugaki, Masao2
2016-07-01
Source PublicationARS COMBINATORIA
ISSN0381-7032
Volume128Pages:127-163
AbstractLet G be a graph of order n. In [A. Saito, Degree sums and graphs that are not covered by two cycles, J. Graph Theory 32 (1999), 51-61.], Saito characterized the graphs with sigma(3)(G) >= n - 1 that are not covered by two cycles. In this paper, we characterize the graphs with sigma(4) (G) >= n - 1 that are not covered by three cycles. Moreover, to prove our main theorem, we show several new results which are useful in the study of this area.
KeywordDegree sum Cycle cover
Language英语
Funding ProjectJSPS[23740087] ; Chinese Academy of Science[2012Y1JA0004]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000380622200010
PublisherCHARLES BABBAGE RES CTR
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/23318
Collection中国科学院数学与系统科学研究院
Affiliation1.Kumamoto Univ, Dept Math & Engn, 2-39-1 Kurokami, Kumamoto 8608555, Japan
2.Chinese Acad Sci, Inst Math & Syst Sci, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Chiba, Shuya,Tsugaki, Masao. A characterization of the graphs with high degree sum that are not covered by three cycles[J]. ARS COMBINATORIA,2016,128:127-163.
APA Chiba, Shuya,&Tsugaki, Masao.(2016).A characterization of the graphs with high degree sum that are not covered by three cycles.ARS COMBINATORIA,128,127-163.
MLA Chiba, Shuya,et al."A characterization of the graphs with high degree sum that are not covered by three cycles".ARS COMBINATORIA 128(2016):127-163.
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