Spectral Radius, Edge-Disjoint Cycles and Cycles of the Same Length
نویسندگان
چکیده
In this paper, we provide spectral conditions for the existence of two edge-disjoint cycles and same length in a graph, which can be viewed as analogues Erd?s Posa's condition Erd?s' classic problem about maximum number edges graph without length, respectively. Furthermore, give to guarantee $k$ triangles graph.
منابع مشابه
Vertex Disjoint Cycles of the Same Length
Department of Pure Mathematics and Mathematical Statistics, Cambridge University, 16 Mill Lane, Cambridge United Kingdom E-mail: [email protected] Corradi and Hajnal proved that a graph of order at least 3k and minimum degree at least 2k contains k vertex-disjoint cycles. Häggkvist subsequently conjectured that a sufficiently large graph of minimum degree at least four contains two vertex-d...
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ژورنال
عنوان ژورنال: Electronic Journal of Combinatorics
سال: 2022
ISSN: ['1077-8926', '1097-1440']
DOI: https://doi.org/10.37236/10783