A Memory-Efficient Algorithm with Level-Order Unary Degree Sequence for Forward Reasoning Engines

Author(s):  
Hiromu Hiidome ◽  
Yuichi Goto ◽  
Jingde Cheng
2003 ◽  
Vol 95 (1) ◽  
pp. 139-141
Author(s):  
K. D. Kozmin ◽  
K. Hyyppä

10.37236/3414 ◽  
2013 ◽  
Vol 20 (4) ◽  
Author(s):  
Sarah Behrens ◽  
Catherine Erbes ◽  
Michael Ferrara ◽  
Stephen G. Hartke ◽  
Benjamin Reiniger ◽  
...  

A sequence of nonnegative integers is $k$-graphic if it is the degree sequence of a $k$-uniform hypergraph. The only known characterization of $k$-graphic sequences is due to Dewdney in 1975. As this characterization does not yield an efficient algorithm, it is a fundamental open question to determine a more practical characterization. While several necessary conditions appear in the literature, there are few conditions that imply a sequence is $k$-graphic. In light of this, we present sharp sufficient conditions for $k$-graphicality based on a sequence's length and degree sum.Kocay and Li gave a family of edge exchanges (an extension of 2-switches) that could be used to transform one realization of a 3-graphic sequence into any other realization. We extend their result to $k$-graphic sequences for all $k \geq 3$. Finally we give several applications of edge exchanges in hypergraphs, including generalizing a result of Busch et al. on packing graphic sequences.


1999 ◽  
Vol 45 (1) ◽  
pp. 57-61 ◽  
Author(s):  
Wenwu Zhu ◽  
Kyeong Ho Yang ◽  
F.A. Faryar

2016 ◽  
Vol 51 (2) ◽  
pp. 595-625 ◽  
Author(s):  
Souleymane Zida ◽  
Philippe Fournier-Viger ◽  
Jerry Chun-Wei Lin ◽  
Cheng-Wei Wu ◽  
Vincent S. Tseng

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