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» Counting with rational generating functions
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SIAMDM
2002
124views more  SIAMDM 2002»
13 years 8 months ago
Counting Claw-Free Cubic Graphs
Let Hn be the number of claw-free cubic graphs on 2n labeled nodes. Combinatorial reductions are used to derive a second order, linear homogeneous differential equation with polyno...
Edgar M. Palmer, Ronald C. Read, Robert W. Robinso...
ENDM
2007
75views more  ENDM 2007»
13 years 8 months ago
Graph classes with given 3-connected components: asymptotic counting and critical phenomena
Fix a family T of 3-connected graphs, and let G be the class of graphs whose 3connected components are the graphs in T . We present a general framework for analyzing such graph cl...
Omer Giménez, Marc Noy, Juan José Ru...
EM
2010
154views Management» more  EM 2010»
13 years 3 months ago
Chebyshev's Bias for Products of Two Primes
Under two assumptions, we determine the distribution of the difference between two functions each counting the numbers x that are in a given arithmetic progression modulo q and the...
Kevin Ford, Jason Sneed
FPGA
1997
ACM
120views FPGA» more  FPGA 1997»
14 years 23 days ago
Partially-Dependent Functional Decomposition with Applications in FPGA Synthesis and Mapping
In this paper, we give a necessary and sufficient condition for the existence of partially-dependent functional decomposition and develop new algorithms to compute such decomposi...
Jason Cong, Yean-Yow Hwang
CORR
2006
Springer
123views Education» more  CORR 2006»
13 years 8 months ago
Directed animals in the gas
In this paper, we revisit the enumeration of directed animals using gas models. We show that there exists a natural construction of random directed animals on any directed graph t...
Yvan Le Borgne, Jean-François Marckert