scholarly journals A Technology for Reverse-Engineering a Combinatorial Problem from a Rational Generating Function

2001 ◽  
Vol 26 (2) ◽  
pp. 129-153 ◽  
Author(s):  
E. Barcucci ◽  
A. Del Lungo ◽  
A. Frosini ◽  
S. Rinaldi
Keyword(s):  
Reverse Engineering ◽  
Generating Function ◽  
Combinatorial Problem ◽  
Rational Generating Function

scholarly journals Pattern Avoidance Classes and Subpermutations

10.37236/1957 ◽  
2005 ◽  
Vol 12 (1) ◽  
Author(s):  
M. D. Atkinson ◽  
M. M. Murphy ◽  
N. Ruškuc
Keyword(s):  
Generating Function ◽  
Structure Theorem ◽  
Pattern Avoidance ◽  
Natural Numbers ◽  
Direct Sums ◽  
Rational Generating Function

Pattern avoidance classes of permutations that cannot be expressed as unions of proper subclasses can be described as the set of subpermutations of a single bijection. In the case that this bijection is a permutation of the natural numbers a structure theorem is given. The structure theorem shows that the class is almost closed under direct sums or has a rational generating function.

A Rational Generating Function for Relative Divisors: 10750

2001 ◽  
Vol 108 (7) ◽  
pp. 670
Author(s):  
Leonard Smiley ◽  
David Callan ◽  
David M. Wells ◽  
Said Amghibech
Keyword(s):  
Generating Function ◽  
Rational Generating Function

A Doubly Rational Generating Function: 10493

1998 ◽  
Vol 105 (10) ◽  
pp. 956
Author(s):  
Richard P. Stanley ◽  
Christophe Reutenauer ◽  
Robin J. Chapman
Keyword(s):  
Generating Function ◽  
Rational Generating Function

scholarly journals Some Theorems on Tauber's Generalized Stirling, Lah and Bell Numbers

2019 ◽  
Vol 12 (3) ◽  
pp. 1069-1081
Author(s):  
Roberto Bagsarsa Corcino ◽  
Cristina Bordaje Corcino ◽  
Gladys Jane Rama
Keyword(s):  
Explicit Formula ◽  
Generating Function ◽  
Symmetric Function ◽  
Recurrence Relations ◽  
Function Form ◽  
Bell Numbers ◽  
Rational Generating Function

In this paper, some properties for Tauber's generalized Stirling and Lah numbers are obtained including other forms of recurrence relations, orthogonality and inverse relations, rational generating function and explicit formual in symmetric function form. Moreover, a new explicit formula is derived, which is analogous to the Qi formula.

Network reconstruction based on steady-state data

2008 ◽  
Vol 45 ◽  
pp. 161-176 ◽  
Author(s):  
Eduardo D. Sontag
Keyword(s):  
Steady State ◽  
Reverse Engineering ◽  
Theoretical Method ◽  
Network Reconstruction ◽  
Quasi Steady State ◽  
State Data

This paper discusses a theoretical method for the “reverse engineering” of networks based solely on steady-state (and quasi-steady-state) data.

Methods of Software Reverse Engineering

2004 ◽  
Vol 62 (12) ◽  
pp. 1057-1063
Author(s):  
A. V. Agranovskiy ◽  
R. E. Agafonov ◽  
R. A. Khadi
Keyword(s):  
Reverse Engineering ◽  
Software Reverse Engineering
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