A Polynomial Time Algorithm for Steiner Tree When Terminals Avoid a Rooted K₄-Minor

C Groenland, J Nederlof, T Koana - … International Symposium on …, 2024 - drops.dagstuhl.de
We study a special case of the Steiner Tree problem in which the input graph does not have
a minor model of a complete graph on 4 vertices for which all branch sets contain a terminal …

A Polynomial Time Algorithm for Steiner Tree when Terminals Avoid a -Minor

C Groenland, J Nederlof, T Koana - arXiv preprint arXiv:2410.06793, 2024 - arxiv.org
We study a special case of the Steiner Tree problem in which the input graph does not have
a minor model of a complete graph on 4 vertices for which all branch sets contain a terminal …

Toward Gr\" unbaum's Conjecture

C Ortlieb, JM Schmidt - arXiv preprint arXiv:2402.05681, 2024 - arxiv.org
Given a spanning tree $ T $ of a planar graph $ G $, the co-tree of $ T $ is the spanning tree
of the dual graph $ G^* $ with edge set $(E (G)-E (T))^* $. Gr\" unbaum conjectured in 1970 …

[PDF][PDF] Toward Grünbaum's Conjecture Bounding Vertices of Degree 4

C Ortlieb - 2022 - ictcs2024.di.unito.it
Given a spanning tree 𝑇 of a planar graph 𝐺, the co-tree of 𝑇 is the spanning tree of the dual
graph 𝐺* with edge set (𝐸 (𝐺)− 𝐸 (𝑇))*. Grünbaum conjectured in 1970 that every planar 3 …