Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: IB-homogeneous graphs   The Lachlan-Woodrow Theorem identifies ultrahomogeneous graphs up to
isomorphism. Recently, the present author and D. Hartman classified
MB-homogeneous graphs up to bimorphism-equivalence. We extend those results in
this paper, showing that every IB-homogeneous graph is either ultrahomogeneous
or MB-homogeneous, and thus all the IB-homogeneous graphs are known up to
bimorphism-equivalence.

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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin