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Aug 5, 2021 at 4:55 comment added domotorp @mathworker21 A polynomial depends on a variable if changing the value of the variable might change the value of the polynomial. If a polynomial does not depend on a variable, then it can be expressed without the given variable.
Aug 4, 2021 at 21:55 comment added mathworker21 @domotorp thanks, but I would still like a definition of 'depend'.
Aug 4, 2021 at 17:14 comment added domotorp @mathworker21 The point is that the first part in the product is $x_1+p_1$ where $p_1=-x_2-x_3+x_4$, so $p_1$ does not depend on $x_1$.
Aug 4, 2021 at 15:26 comment added mathworker21 does the polynomial in the very first line 'depend' on $x_1$?
Aug 4, 2021 at 15:05 comment added domotorp Sorry, I've added that too.
Aug 4, 2021 at 15:05 history edited domotorp CC BY-SA 4.0
added definition of degenerate
Aug 4, 2021 at 13:39 comment added Fedor Petrov I mean, when is a graph called degenerate?
Aug 4, 2021 at 13:32 comment added domotorp I've added the definition to the question, I hope now it's clear.
Aug 4, 2021 at 13:32 history edited domotorp CC BY-SA 4.0
added def of dependency graph
Aug 4, 2021 at 11:14 comment added Fedor Petrov ok and which graph is degenerate?
Aug 4, 2021 at 10:11 comment added Fedor Petrov Ok, I see (I prefer another notation, but it is a matter of taste.) What do you mean by "dependency graph is degenerate"?
Aug 4, 2021 at 9:41 comment added domotorp I thought that $x^q-x\equiv 0$ over $\mathbb F_q$. So I mean it like that.
Aug 4, 2021 at 8:34 comment added Fedor Petrov by $\equiv 0$ you mean that all values are 0? As a polynomial, this is not identical 0.
Aug 4, 2021 at 8:28 history asked domotorp CC BY-SA 4.0