The smallest one-realization of a given set II
نویسندگان
چکیده
Let S be a finite set of positive integers. A mixed hypergraph H is a onerealization of S if its feasible set is S and each entry of its chromatic spectrum is either 0 or 1. In [P. Zhao, K. Diao, Y. Chang and K. Wang, The smallest one-realization of a given set II, Discrete Math. 312 (2012) 2946–2951], we determined the minimum number of vertices of a 3-uniform bi-hypergraph which is a one-realization of S. In this paper, we generalize this result to r-uniform bihypergraphs.
منابع مشابه
The Smallest One-Realization of a Given Set
For any set S of positive integers, a mixed hypergraph H is a realization of S if its feasible set is S, furthermore, H is a one-realization of S if it is a realization of S and each entry of its chromatic spectrum is either 0 or 1. Jiang et al. showed that the minimum number of vertices of a realization of {s, t} with 2 ≤ s ≤ t−2 is 2t−s. Král proved that there exists a one-realization of S wi...
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عنوان ژورنال:
- Discrete Mathematics
دوره 338 شماره
صفحات -
تاریخ انتشار 2012