Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solution to a Forcible Version of a Graphic Sequence Problem   Let $A_n=(a_1,a_2,\ldots,a_n)$ and $B_n=(b_1,b_2,\ldots,b_n)$ be nonnegative
integer sequences with $A_n\le B_n$. The purpose of this note is to give a good
characterization such that every integer sequence $\pi=(d_1,d_2,\ldots d_n)$
with even sum and $A_n\le \pi\le B_n$ is graphic. This solves a forcible
version of problem posed by Niessen and generalizes the Erd\H{o}s--Gallai
theorem.

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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: stat