New Upper Bounds on Continuous Tree Edge-Partition Problem

Author(s):  
Robert Benkoczi ◽  
Binay Bhattacharya ◽  
Qiaosheng Shi
1993 ◽  
Vol 07 (06n07) ◽  
pp. 1427-1436 ◽  
Author(s):  
RÉMY MOSSERI ◽  
FRANCIS BAILLY

We calculate the configurational entropy of random tilings obtained by elementary flips from a perfect octagonal tiling with an octagonal boundary. We map the problem of generating all configurations onto a partition problem. We calculate numerically the number of configurations and the associated entropy. We give some exact expressions in restricted cases and upper bounds for the entropy in the asymptotic case.


Networks ◽  
2002 ◽  
Vol 41 (1) ◽  
pp. 13-23 ◽  
Author(s):  
Olivier Goldschmidt ◽  
Dorit S. Hochbaum ◽  
Asaf Levin ◽  
Eli V. Olinick

2009 ◽  
Vol 6 (4) ◽  
pp. 420-435 ◽  
Author(s):  
Z. Caner Taşkın ◽  
J. Cole Smith ◽  
Shabbir Ahmed ◽  
Andrew J. Schaefer

2010 ◽  
Vol E93-D (2) ◽  
pp. 290-292
Author(s):  
Hideaki OTSUKI ◽  
Tomio HIRATA

2010 ◽  
Vol 158 (8) ◽  
pp. 932-942 ◽  
Author(s):  
Jyh-Jye Lin ◽  
Chi-Yuan Chan ◽  
Biing-Feng Wang
Keyword(s):  

1997 ◽  
Vol 84 (1) ◽  
pp. 176-178
Author(s):  
Frank O'Brien

The author's population density index ( PDI) model is extended to three-dimensional distributions. A derived formula is presented that allows for the calculation of the lower and upper bounds of density in three-dimensional space for any finite lattice.


2010 ◽  
Vol 33 (4) ◽  
pp. 652-665
Author(s):  
Yan-Guang CAI ◽  
Yun ZHANG ◽  
Ji-Xin QIAN
Keyword(s):  

Author(s):  
S. Yahya Mohamed ◽  
A. Mohamed Ali

In this paper, the notion of energy extended to spherical fuzzy graph. The adjacency matrix of a spherical fuzzy graph is defined and we compute the energy of a spherical fuzzy graph as the sum of absolute values of eigenvalues of the adjacency matrix of the spherical fuzzy graph. Also, the lower and upper bounds for the energy of spherical fuzzy graphs are obtained.


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