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Dimitrios M. Thilikos, Bounding Obstructions sets: the cases of apices of minor closed classes

Wednesday, May 26, 2021 @ 5:00 PM - 6:00 PM KST

Zoom ID: 869 4632 6610 (ibsdimag)

Given a minor-closed graph class G, the (minor) obstruction of G is the set of all minor-minimal graphs not in G. Given a non-negative integer k, we define the k-apex of A as the class containing every graph G with a set S of vertices whose removal from G gives a graph on G. We prove that every obstruction of the k-apex of G has size bounded by some 4-fold exponential function of p(k) where p is a polynomial function whose degree depends on the size of the minor-obstructions of G. This bound drops to a 2-fold exponential one when G excludes some apex graph as a minor (i.e., a graph in the 1-apex of planar graphs).

Joint work with Ignasi Sau and Giannos Stamoulis.

Details

Date:
Wednesday, May 26, 2021
Time:
5:00 PM - 6:00 PM KST
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Venue

Zoom ID: 869 4632 6610 (ibsdimag)

Organizer

O-joung Kwon (권오정)
IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 수리및계산과학연구단 이산수학그룹
대전 유성구 엑스포로 55 (우) 34126
IBS Discrete Mathematics Group (DIMAG)
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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