Chromatic Polynomial of Circulant Graph with Two Parameters
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It is easy to get the Chromatic-Polynomial of a Circulant-Graph of size $n$ with one parameter $P[C_{n}(i),x]$. Is there a way to get an explicit formula for the chromatic polynomial of a circulant graph with two parameters? I am particularly interested in the asymptotic behavior of the expression
$$frac{P[C_{n}(i,j),n]}{n^n} - frac{P[C_{n}(i),n]*P[C_{n}(j),n]}{n^{2n}}$$
as $ nrightarrowinfty$.
combinatorics coloring algebraic-graph-theory algebraic-combinatorics
edited Dec 18 '18 at 15:52
Davide Giraudo
127k16151265
asked Dec 18 '18 at 15:40
Abraham GAbraham G
111
$endgroup$
add a comment |
$begingroup$
It is easy to get the Chromatic-Polynomial of a Circulant-Graph of size $n$ with one parameter $P[C_{n}(i),x]$. Is there a way to get an explicit formula for the chromatic polynomial of a circulant graph with two parameters? I am particularly interested in the asymptotic behavior of the expression
$$frac{P[C_{n}(i,j),n]}{n^n} - frac{P[C_{n}(i),n]*P[C_{n}(j),n]}{n^{2n}}$$
as $ nrightarrowinfty$.
combinatorics coloring algebraic-graph-theory algebraic-combinatorics
edited Dec 18 '18 at 15:52
Davide Giraudo
127k16151265
asked Dec 18 '18 at 15:40
Abraham GAbraham G
111
$endgroup$
add a comment |
$begingroup$
It is easy to get the Chromatic-Polynomial of a Circulant-Graph of size $n$ with one parameter $P[C_{n}(i),x]$. Is there a way to get an explicit formula for the chromatic polynomial of a circulant graph with two parameters? I am particularly interested in the asymptotic behavior of the expression
$$frac{P[C_{n}(i,j),n]}{n^n} - frac{P[C_{n}(i),n]*P[C_{n}(j),n]}{n^{2n}}$$
as $ nrightarrowinfty$.
combinatorics coloring algebraic-graph-theory algebraic-combinatorics
edited Dec 18 '18 at 15:52
Davide Giraudo
127k16151265
asked Dec 18 '18 at 15:40
Abraham GAbraham G
111
$endgroup$
It is easy to get the Chromatic-Polynomial of a Circulant-Graph of size $n$ with one parameter $P[C_{n}(i),x]$. Is there a way to get an explicit formula for the chromatic polynomial of a circulant graph with two parameters? I am particularly interested in the asymptotic behavior of the expression
$$frac{P[C_{n}(i,j),n]}{n^n} - frac{P[C_{n}(i),n]*P[C_{n}(j),n]}{n^{2n}}$$
as $ nrightarrowinfty$.
combinatorics coloring algebraic-graph-theory algebraic-combinatorics
combinatorics coloring algebraic-graph-theory algebraic-combinatorics
edited Dec 18 '18 at 15:52
Davide Giraudo
127k16151265
asked Dec 18 '18 at 15:40
Abraham GAbraham G
111
edited Dec 18 '18 at 15:52
Davide Giraudo
127k16151265
asked Dec 18 '18 at 15:40
Abraham GAbraham G
111
edited Dec 18 '18 at 15:52
Davide Giraudo
127k16151265
edited Dec 18 '18 at 15:52
Davide Giraudo
127k16151265
edited Dec 18 '18 at 15:52
Davide Giraudo
127k16151265
127k16151265
asked Dec 18 '18 at 15:40
Abraham GAbraham G
111
asked Dec 18 '18 at 15:40
Abraham GAbraham G
111
asked Dec 18 '18 at 15:40
Abraham GAbraham G
111
111
add a comment |
add a comment |
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