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  • Factors of disconnected graphs and polynomials with nonnegative integer coefficients
    Woestijne, Christiaan van de
    We investigate the uniqueness of factorisation of possibly disconnected finite graphs with respect to the Cartesian, the strong and the direct product. It is proved that if a graph has ▫$n$▫ ... connected components, where ▫$n$▫ is prime, or ▫$n = 1, 4, 8, 9$▫, and satisfies some additional natural conditions, it factors uniquely under the given products. If, on the contrary, ▫$n = 6$▫$ or 10, all cases of nonunique factorisation are described precisely.
    Vir: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 5, no. 2, 2012, str. 307-323)
    Vrsta gradiva - članek, sestavni del
    Leto - 2012
    Jezik - angleški
    COBISS.SI-ID - 16277337

vir: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 5, no. 2, 2012, str. 307-323)

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