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» Counting with rational generating functions
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SIAMDM
2002
124views more  SIAMDM 2002»
14 years 11 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...
76
Voted
ENDM
2007
75views more  ENDM 2007»
14 years 11 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»
14 years 6 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»
15 years 3 months 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
83
Voted
CORR
2006
Springer
123views Education» more  CORR 2006»
14 years 11 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