A Generalization of the Gale-Ryser Type Characterization Theorem
Abstract: Let and be two non-increasing sequences of nonnegative integers. The pair is said to be bigraphic if there is a simple X,Y-bigraph such that the vertices of X have degrees and the vertices of Y have degrees . is said to be t-bigraphic if it is bigraphic and no two vertices from different partite sets are joined by more than t edges. In this paper, we give a characterization for to be t-bigraphic. In fact, it is a gen-eration of the Gale-Ryser type characterization theorem.
文章引用: 郭纪云 , 王冬梅 (2016) Gale-Ryser型刻划定理的一个推广。 应用数学进展， 5， 121-123. doi: 10.12677/AAM.2016.51016
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