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Description
| - We determine the spectra of cubic plane graphs whose faces have sizes 3 and 6. Such graphs, '(3, 6)-fullerenes,' have been studied by chemists who are interested in their energy spectra. In particular we prove a conjecture of Fowler, which asserts that all their eigenvalues come in pairs of the form {c, -c} except for the four eigenvalues {3, -1, -1, -1}. We exhibit other families of graphs which are 'spectrally nearly bipartite' in the sense that nearly all of their eigenvalues come in pairs {c, -c}. Our proof utilizes a geometric representation to recognize the algebraic structure of these graphs, which turn out to be examples of Cayley sum graphs.
- We determine the spectra of cubic plane graphs whose faces have sizes 3 and 6. Such graphs, '(3, 6)-fullerenes,' have been studied by chemists who are interested in their energy spectra. In particular we prove a conjecture of Fowler, which asserts that all their eigenvalues come in pairs of the form {c, -c} except for the four eigenvalues {3, -1, -1, -1}. We exhibit other families of graphs which are 'spectrally nearly bipartite' in the sense that nearly all of their eigenvalues come in pairs {c, -c}. Our proof utilizes a geometric representation to recognize the algebraic structure of these graphs, which turn out to be examples of Cayley sum graphs. (en)
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Title
| - Cayley sum graphs and eigenvalues of (3,6)-fullerenes
- Cayley sum graphs and eigenvalues of (3,6)-fullerenes (en)
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skos:prefLabel
| - Cayley sum graphs and eigenvalues of (3,6)-fullerenes
- Cayley sum graphs and eigenvalues of (3,6)-fullerenes (en)
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skos:notation
| - RIV/00216208:11320/09:00206380!RIV10-MSM-11320___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(1M0545), Z(MSM0021620838)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/00216208:11320/09:00206380
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Cayley; graphs; eigenvalues; -fullerenes (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Journal of Combinatorial Theory. Series B
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Šámal, Robert
- DeVos, Matt
- Mohar, Bojan
- Goddyn, Luis
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http://linked.open...ain/vavai/riv/wos
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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