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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

6 votes
1 answer
178 views

On a limit involving a transform of the chromatic polynomial

I was playing around with the chromatic polynomial (denoted here by $\chi_G(x)$) and I have made the following conjecture. Let $(G_n)_{n \ge 1}$ be a sequence of graphs with $v(G_n) \to \infty$ ($v(G_ …
mtsecco's user avatar
  • 93
3 votes
0 answers
76 views

Littlewood Offord for odd number of real numbers

One version of the Littlewood-Offord problem states that if $a_1, \ldots, a_n$ are real numbers with absolute value at least $1$, then the number of sequences $\varepsilon_1, \ldots, \varepsilon_n$ wi …
mtsecco's user avatar
  • 93