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- W2964267181 abstract "Abstract A celebrated theorem of Stiebitz 13 asserts that any graph with minimum degree at least can be partitioned into two parts that induce two subgraphs with minimum degree at least s and t , respectively. This resolved a conjecture of Thomassen. In this article, we prove that for , if a graph G contains no cycle of length four and has minimum degree at least , then G can be partitioned into two parts that induce two subgraphs with minimum degree at least s and t , respectively. This improves the result of Diwan in 5, where he proved the same statement for graphs of girth at least five. Our proof also works for the case of variable functions, in which the bounds are sharp as showing by some polarity graphs." @default.
- W2964267181 created "2019-07-30" @default.
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- W2964267181 date "2018-06-07" @default.
- W2964267181 modified "2023-10-05" @default.
- W2964267181 title "Decomposing <i>C</i> <sub>4</sub> -free graphs under degree constraints" @default.
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- W2964267181 doi "https://doi.org/10.1002/jgt.22364" @default.
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