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Numerical ranges of cube roots of the identity

✍ Scribed by Thomas Ryan Harris; Michael Mazzella; Linda J. Patton; David Renfrew; Ilya M. Spitkovsky


Book ID
113771917
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
341 KB
Volume
435
Category
Article
ISSN
0024-3795

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## Abstract The cube polynomial __c__(__G__,__x__) of a graph __G__ is defined as $\sum\nolimits\_{i \ge 0} {\alpha \_i ( G)x^i }$, where Ξ±~i~(__G__) denotes the number of induced __i__‐cubes of __G__, in particular, Ξ±~0~(__G__) = |__V__(__G__)| and Ξ±~1~(__G__) = |__E__(__G__)|. Let __G__ be a medi