https://github.com/pgdr/icerm

https://github.com/pgdr/icerm

Last synced: 3 months ago
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• Host: GitHub
• URL: https://github.com/pgdr/icerm
• Owner: pgdr
• Created: 2025-02-18T13:00:53.000Z (over 1 year ago)
• Default Branch: master
• Last Pushed: 2025-02-18T19:38:04.000Z (over 1 year ago)
• Last Synced: 2025-02-26T01:38:25.683Z (over 1 year ago)
• Language: Makefile
• Size: 4.32 MB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

          
---

theme: metropolis

aspectratio: 169

header-includes:

  - \usetheme{metropolis}

  - \definecolor{beaublue}{rgb}{0.74, 0.83, 0.9}

  - \usepackage[sfdefault,lining]{FiraSans}

---

# Planar Network Diversion

![](del0.png){ width=40% } \hfill

![](del1.png){ width=40% }

::: columns

:::: column

Pål Grønås Drange

\smallskip

\scriptsize

_University of Bergen_

February 21, 2025

\medskip

\tiny

Joint work with

* Matthias Bentert

* Fedor V. Fomin

* Steinar Simonnes

::::

:::: column

* \textsc{Minimum $s$-$t$-Cuts}

* \textsc{Network Diversion}

  * Planar case: $O(n \log n)$

  * Directed: NP-complete

  * Undirected: Open

::::

:::

# Cut -- Cycle space duality

![](del0.png){ width=30% }

![](del-cycle.png){ width=30% }

![](del-cut.png){ width=30% }

![](del-paths.png){ width=30% }

![](del-odd-paths.png){ width=30% }

![](del-s-t-cut.png){ width=30% }

# Algorithm: Planar Network Diversion

![](del0.png){ width=30% }

![](del1.png){ width=30% }

![](del2.png){ width=30% }

![](del2-odd.png){ width=30% }

![](del3.png){ width=30% }

![](del4.png){ width=30% }

# Diverse cuts

![](cut-out.png){ width=100% }