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On the roots of edge cover polynomials of graphs

✍ Scribed by Péter Csikvári; Mohammad Reza Oboudi

Book ID: 113582373
Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 235 KB
Volume: 32
Category: Article
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2011.06.009

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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 α~i~(__G__) denotes the number of induced __i__‐cubes of __G__, in particular, α~0~(__G__) = |__V__(__G__)| and α~1~(__G__) = |__E__(__G__)|. Let __G__ be a medi