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Suil O (오수일), An odd [1,b]-factor in regular graphs from eigenvalues

Wednesday, June 19, 2019 @ 4:30 PM - 5:30 PM KST

Room B232, IBS (기초과학연구원)

Speaker

Suil O (오수일)
Department of Applied Mathematics and Statistics, SUNY-Korea
https://you.stonybrook.edu/suilo/

An odd $[1,b]$-factor of a graph is a spanning subgraph $H$ such that for every vertex $v \in V(G)$, $1 \le d_H(v) \le b$, and $d_H(v)$ is odd. For positive integers $r \ge 3$ and $b \le r$, Lu, Wu, and Yang gave an upper bound for the third largest eigenvalue in an $r$-regular graph with even number of vertices to guarantee the existence of an odd [1,b]-factor.
In this talk, we improve their bound.

Details

Date:
Wednesday, June 19, 2019
Time:
4:30 PM - 5:30 PM KST
Event Category:
Event Tags:
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Venue

Room B232
IBS (기초과학연구원)

Organizer

Sang-il Oum (엄상일)
View Organizer Website
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
E-mail: dimag@ibs.re.kr, Fax: +82-42-878-9209
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