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researcher

P. C. Kainen

18 papers hereh-index 201.7k citations105 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author5
  • first author5
  • middle author1
  • last author7

Across the 18 of 18 papers where every author was matched, so the position is known.

fields
  • math.CO15
  • astro-ph.IM1
  • math.FA1
  • math.GT1

identity via Semantic Scholar / OpenAlex

activity
20212025
most citedA new view of hypercube genus

11 citations · 27 across the 16 of their papers we have counts for

collaborators
Showing 2024Show all

3 papers · 1 filter

math.CO2024

Star arboricity relaxed book thickness of Kn​

Paul C. Kainen

A book embedding of the complete graph Kn​ needs ⌈2n​⌉ pages and the page-subgraphs can be chosen to be spanning paths (for n even) and one spanning star…

math.CO2024

Complexity of graph evolutions

Jeffrey Gao, Paul C. Kainen

A permutation of the elements of a graph is a {\it construction sequence} if no edge is listed before either of its endpoints. The complexity of such a sequence is investigated by…

math.CO2024

All bipartite circulants are dispersable

Shannon Overbay, Samuel Joslin, Paul C. Kainen

We show that a cyclic vertex order due to Yu, Shao and Li gives a dispersable book embedding for any bipartite circulant.

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.