Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Almost Cohen-Macaulay bipartite graphs and connected in codimension two   In this paper we study almost Cohen-Macaulay bipartite graphs. Furthermore,
we prove that if $G$ is almost Cohen-Macaulay bipartite graph with at least one
vertex of positive degree, then there is a vertex of $\deg(v) \leq 2$. In
particular, if $G$ is an almost Cohen-Macaulay bipartite graph and $u$ is a
vertex of degree one of $G$ and $v$ its adjacent vertex, then $G\setminus\{v\}$
is almost Cohen-Macaulay. Also, we show that an unmixed Ferrers graph is almost
Cohen-Macaulay if and only if it is connected in codimension two. Moreover, we
give some examples.

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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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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: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin