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MINIMAL ELEMENTS IN THE POSET OF GRAPHICAL SEQUENCES

MINIMAL ELEMENTS IN THE POSET OF GRAPHICAL SEQUENCES
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摘要 A noninereasing sequence π of n nonnegative integers graphical is graphical if it is the degree sequence of some simple graph G of order n. All graphical sequences of length n with even sum 2m and trace f forms a poset Gn, m,f under majoriztion relation. In this paper, we characterizc the minimal elememts in Gn, m, f and determine the numbers of minimal elememts in various posers of graphical sequences. A noninereasing sequence π of n nonnegative integers graphical is graphical if it is the degree sequence of some simple graph G of order n. All graphical sequences of length n with even sum 2m and trace f forms a poset Gn, m,f under majoriztion relation. In this paper, we characterizc the minimal elememts in Gn, m, f and determine the numbers of minimal elememts in various posers of graphical sequences.
作者 胡跃进
出处 《黄山学院学报》 1999年第3期108-111,共4页 Journal of Huangshan University
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