** On the periodic division of differential 3rd degree polynomial by a 1st degree polynomial
نویسندگان
چکیده
منابع مشابه
M-polynomial and degree-based topological indices
Let $G$ be a graph and let $m_{ij}(G)$, $i,jge 1$, be the number of edges $uv$ of $G$ such that ${d_v(G), d_u(G)} = {i,j}$. The {em $M$-polynomial} of $G$ is introduced with $displaystyle{M(G;x,y) = sum_{ile j} m_{ij}(G)x^iy^j}$. It is shown that degree-based topological indices can be routinely computed from the polynomial, thus reducing the problem of their determination in each particular ca...
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Proof. The first assertion is Exercise III.5.2 of [1]. The degree assertion can be deduced by modifying the proof of the same exercise to remove the first term of the exact sequence, using Corollary 4.1 of [2] (and noting that invariance of cohomology under field extension means we can reduce immediately to the case of an infinite field). The last equality follows from Serre’s theorem on vanish...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky a fysiky
سال: 1929
ISSN: 1802-114X
DOI: 10.21136/cpmf.1929.108934