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Pólya convertibility problem for symmetric matricesGuterman, Aleksandr Èmilevič, 1975- ; Dolinar, Gregor, 11.08.1971- ; Kuzma, Bojan, 1968-We investigate symmetric ▫$(0, 1)$▫ matrices on which the permanent is convertible to the determinant by assigning ▫$\pm$▫ signs to their entries. In particular, we obtain several quantitative bounds ... for the number of nonzero elements of such matrices, including the analog of Gibsons theorem for symmetric matrices.Source: Mathematical notes = Matematicheskie zametki. - ISSN 1067-9073 (Vol. 92, iss. 5-6, 2012, str. 624-635)Type of material - article, component part ; adult, seriousPublish date - 2012Language - englishCOBISS.SI-ID - 16857689
Author
Guterman, Aleksandr Èmilevič, 1975- |
Dolinar, Gregor, 11.08.1971- |
Kuzma, Bojan, 1968-
Topics
matematika |
linearna algebra |
teorija matrik |
permanenta |
determinanta |
konverzija |
simetrične matrike |
mathematics |
linear algebra |
matrix theory |
commutative ring |
permanent |
determinant |
conversion |
symmetric matrices
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Guterman, Aleksandr Èmilevič, 1975- | ![]() |
Dolinar, Gregor, 11.08.1971- | 18750 |
Kuzma, Bojan, 1968- | 18893 |
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