Cycle Saturation in Random Graphs

نویسندگان

چکیده

For a fixed graph F, the minimum number of edges in an edge-maximal F-free subgraph G is called F-saturation number. The asymptotics Erdos–Renyi random G(n, p) for constant \(p\in (0,1)\) was established any complete and star graph. We obtain \(C_m\)-saturation \(m\geqslant 5.\) Also we prove non-trivial linear (in n) lower bounds upper \(C_4\)-saturation some values p.

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ژورنال

عنوان ژورنال: Trends in mathematics

سال: 2021

ISSN: ['2297-024X', '2297-0215']

DOI: https://doi.org/10.1007/978-3-030-83823-2_129