Fetching the paper…
Reading the bibliography…
In this paper, we show that every $(2^{n-1}+1)$-vertex induced subgraph of the $n$-dimensional cube graph has maximum degree at least $\sqrt{n}$.
On induced subgraphs of the cube,
F. Chung, Z. Füredi, R. Graham, P. Seymour, · 1988
Earlier work this paper cites.
CREW PRAMs and decision trees,
N. Nisan, · 1989
Earlier work this paper cites.
The equivalence of two problems on the cube
C. Gotsman, N. Linial, · 1992
Earlier work this paper cites.
On the degree of Boolean functions as real polynomials,
N. Nisan, M. Szegedy, · 1992
Earlier work this paper cites.
Sensitivity vs. block sensitivity of Boolean functions,
D. Rubinstein, · 1995
Earlier work this paper cites.
Complexity measures and decision tree complexity: a survey,
H. Buhrman, R. de Wolf, · 2002
Cited alongside, same era.
Sensitivity, block sensitivity, and ℓ \ell -block sensitivity of Boolean functions,
C. Kenyon, S. Kutin, · 2004
Cited alongside, same era.
A very short proof of Cauchy’s interlace theorem for eigenvalues of Hermitian matrices,
S. Fisk, · 2005
Cited alongside, same era.
New separation between s ( f ) s(f) and b s ( f ) bs(f) ,
A. Ambainis, X. Sun, · 2011
Cited alongside, same era.
Variations on the Sensitivity Conjecture,
P. Hatami, R. Kulkarni, D. Pankratov, · 2011
Cited alongside, same era.
Properties and applications of boolean function composition,
A. Tal,
Cited in the paper.
Sensitivity versus block sensitivity of boolean functions,
M. Virza, · 2011
Later among the works it cites.
A new approach to the sensitivity conjecture,
J. Gilmer, M. Koucký, M. Saks, · 2015
Later among the works it cites.
Smooth Boolean functions are easy: efficient algorithms for low-sensitivity functions, 7th Innovations in Theoretical Computer Science Conference (ITCS), 2016
P. Gopalan, N. Nisan, R. Servedio, K. Talwar, and A. Wigderson, · 2016
Later among the works it cites.
Degree and sensitivity: tails of two distributions,
P. Gopalan, R. Servedio, A. Tal, A. Wigderson, · 2016
Later among the works it cites.
A note on a communication game, CoRR, abs/1706.07890, 2017
A. Drucker, · 2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…