Geodesic
On the Gibson barrier for the P\'olya problem
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 8, pp. 73-86

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We study lower bounds on the number of nonzero entries in $(0,1)$ matrices such that the permanent is always convertible to the determinant by placing $\pm$ signs on matrix entries. 
@article{FPM_2010_16_8_a6,
     author = {G. Dolinar and A. E. Guterman and B. Kuzma},
     title = {On the {Gibson} barrier for the {P\'olya} problem},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {73--86},
     publisher = {mathdoc},
     volume = {16},
     number = {8},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_8_a6/}
}
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G. Dolinar; A. E. Guterman; B. Kuzma. On the Gibson barrier for the P\'olya problem. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 8, pp. 73-86. http://geodesic.mathdoc.fr/item/FPM_2010_16_8_a6/