9,631 reputation
13119202
bio website gilkalai.wordpress.com
location Jerusalem
age 59
visits member for 5 years, 8 months
seen 2 days ago
Professor of Mathematics at the Hebrew University of Jerusalem and at Yale University

Dec
19
answered randomness in nature
Dec
19
comment What precisely Is “Categorification”?
Very nice answers. Anything more to say, to edit, to polish, to link?
Dec
19
comment Generalizations of Planar Graphs
More answers, remarks, links are most welcome. In particular: links to connections between planar graphs and commutative algebra (and other algebra), some info on the simlicial complex of (edges of) planar graphs on n vertices, some interesting extensions of planar graphs related to the 4CT.
Dec
19
answered Generalizations of Planar Graphs
Dec
18
revised Fundamental Examples
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Dec
18
revised Fundamental Examples
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Dec
18
revised Fundamental Examples
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Dec
16
revised The density hex
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Dec
16
revised The density hex
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Dec
16
comment The density hex
Anyway, it is a very nice problem and the connection to Gales theorem that Harrison found is also great.
Dec
15
comment The density hex
Yes, your graph seems intermediate one between G_\infty considered by BKLO and G_1 considered by AK; and your question for G_1 is also interesting and does not seem to be known (and also for the specific graph you study).
Dec
15
revised The density hex
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Dec
14
comment The density hex
I think we can expect for n fixed (say n=3) and d large a simpler combinatorial proof with much better bounds. anyway I think the results on separating all cycles in [0,1]^n and their discrete analogues are relevant. Look here (and the links there) :gilkalai.wordpress.com/2009/05/27/…
Dec
14
revised The density hex
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Dec
14
answered The density hex
Dec
14
revised Fundamental Examples
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Dec
13
awarded  Nice Answer
Dec
13
revised Fundamental Examples
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Dec
13
comment The density hex
"Gale famously showed..." I did not know it. Any link/reference?
Dec
13
revised Fundamental Examples
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