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Aug 9, 2015 at 7:33 history edited Turbo CC BY-SA 3.0
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Aug 9, 2015 at 7:25 history edited Turbo CC BY-SA 3.0
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Aug 7, 2015 at 21:17 history edited Turbo
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S Aug 2, 2015 at 20:24 history bounty ended David E Speyer
S Aug 2, 2015 at 20:24 history notice removed David E Speyer
Jul 31, 2015 at 21:17 answer added domotorp timeline score: 6
Jul 28, 2015 at 0:05 comment added zeraoulia rafik @Turbo, since the answer of your question up to 7 vote ,it's not need a bounty
Jul 27, 2015 at 3:11 comment added Sam Hopkins @DavidSpeyer: maybe you could come up with a more evocative title for this question?
Jul 27, 2015 at 2:43 history edited David E Speyer CC BY-SA 3.0
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S Jul 27, 2015 at 2:22 history bounty started David E Speyer
S Jul 27, 2015 at 2:22 history notice added David E Speyer Draw attention
Jul 24, 2015 at 12:10 comment added Fedor Petrov I do not know wether it is helpful, but you may rephrase the question polynomially: replace $\mathbb{F}_2^d$ to $\mathbb{F}_{2^d}$ (it is the same as additive group) and consider the polynomial in variables $x_e$, corresponding to edges $\prod_C (\sum_{e\in C} x_e)$, where product is over all cycles $C$. You need non-zero value of this polynomial, it exists iff it does not belong to ideal generated by polynomials $x_{e}^{2^d}-x_e$.
Jul 24, 2015 at 6:47 history rollback Turbo
Rollback to Revision 13
Jul 24, 2015 at 5:54 history edited Turbo CC BY-SA 3.0
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Jul 24, 2015 at 3:16 history edited Turbo CC BY-SA 3.0
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Jul 21, 2015 at 11:18 history edited Turbo CC BY-SA 3.0
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Jul 21, 2015 at 11:12 history edited Turbo CC BY-SA 3.0
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Jul 21, 2015 at 7:23 comment added Turbo The map could be linear for some projection. I do not see why making it linear globally would be optimal.
Jul 21, 2015 at 7:18 comment added Turbo Why does the map have to be linear globally?
Jul 21, 2015 at 3:43 comment added David E Speyer Tossed in coding-theory tag. Here is my thinking: Let $V$ be the free vector space on the $\binom{n}{2}$ edges of your graph. Let $K$ be the kernel of the map $V \to \mathbb{F}_2^d$ given by your labels. You want $K$ to be large while not containing the characteristic function of any cycle. This reminds me of the coding theory goal of finding large $K$ that does not contain any vector of small Hamming weight.
Jul 21, 2015 at 3:40 history edited David E Speyer
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Jul 21, 2015 at 3:15 answer added David E Speyer timeline score: 8
Jul 21, 2015 at 2:13 history edited Joël
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Jul 20, 2015 at 17:33 vote accept Turbo
Jul 21, 2015 at 20:40
Jul 20, 2015 at 17:32 history rollback Turbo
Rollback to Revision 2
Jul 20, 2015 at 17:31 history edited Turbo CC BY-SA 3.0
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Jul 20, 2015 at 17:24 history edited Turbo CC BY-SA 3.0
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Jul 19, 2015 at 12:58 history edited Turbo CC BY-SA 3.0
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Jul 19, 2015 at 7:38 history edited Turbo CC BY-SA 3.0
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Jul 19, 2015 at 7:19 history edited Turbo CC BY-SA 3.0
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Jul 17, 2015 at 11:38 history edited Turbo
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Jul 17, 2015 at 11:37 comment added Alireza Abdollahi I see. Maybe a the graph-theory tag is needed.
Jul 17, 2015 at 10:39 comment added Turbo @AlirezaAbdollahi Actually I do not know. I think this question may have a connection.
Jul 17, 2015 at 10:22 history edited Turbo CC BY-SA 3.0
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Jul 17, 2015 at 7:03 comment added Alireza Abdollahi I do not think the tag representation theory is a proper one here.
Jul 17, 2015 at 5:01 answer added David Eppstein timeline score: 11
Jul 17, 2015 at 4:42 history undeleted Turbo
Jul 17, 2015 at 4:28 history deleted Turbo via Vote
Jul 17, 2015 at 4:25 history asked Turbo CC BY-SA 3.0