%0 Journal Article %T 2-Factors with a Few Components in Balanced Bipartite Graphs %A Huanxin Pei %J Engineering %P 361-370 %@ 1947-394X %D 2024 %I Scientific Research Publishing %R 10.4236/eng.2024.1611027 %X In this paper, a sufficient condition for a balanced bipartite graph to contain a 2-factor F is given. We show that every balanced bipartite graph of order 2n

(n \geq 6)

and

e (G) > n^{2} - 2 n + 4

contains a 2-factor with k components,

2 d_{1}

-cycle,

\dots

2 d_{k}

-cycle, if one of the following is satisfied: (1)

k = 2

δ (G) \geq 2

and

d_{1} - 2 \geq d_{2} \geq 2

; (2)

k = 3

δ (G) \geq d_{3} + 2

and

d_{1} - 2 \geq d_{2} \geq d_{3} \geq 4

. In particular, this extends one result of Moon and Moser in 1963 under condition (1). %K 2-Factor %K Bipartite Graph %K Degree Condition %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=137410