Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Revising Johnson's table for the 21st century   What does it mean today to study a problem from a computational point of
view? We focus on parameterized complexity and on Column 16 "Graph Restrictions
and Their Effect" of D. S. Johnson's Ongoing guide, where several puzzles were
proposed in a summary table with 30 graph classes as rows and 11 problems as
columns. Several of the 330 entries remain unclassified into Polynomial or
NP-complete after 35 years. We provide a full dichotomy for the Steiner Tree
column by proving that the problem is NP-complete when restricted to Undirected
Path graphs. We revise Johnson's summary table according to the granularity
provided by the parameterized complexity for NP-complete problems.

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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: econ