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青海师范大学数学系,
Published:1989
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[1]刘儒英.关于树的补图的色多项式[J].新疆大学学报(自然科学版),1989(03):6-8.
刘儒英. 关于树的补图的色多项式[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1989, (3).
[1]刘儒英.关于树的补图的色多项式[J].新疆大学学报(自然科学版),1989(03):6-8. DOI:
刘儒英. 关于树的补图的色多项式[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1989, (3). DOI:
本文证明了
由树的特征多项式可立即求出其补图的色多项式.
The following theorem is Proved:Theorem If G is a tree
Let characteristic polynomial of G be P (G
λ)=λn-c2λn-2+c4λ(n-4)-c6λ(n-6)+……Let Chromatic polynomial of ■ be f(■
t)=[t]_n+b1[t]_n+b2[t]n-2+…+b6-1[t-]_1where [t]k-t(t-1)(t-2)…(t-k+1)
(k=1
2
…
n) then b-i=c2i.(i=1
3
…).
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