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

June 19 Wednesday @ 4:30 PM - 5:30 PM

Room B232, IBS (기초과학연구원)


Suil O (오수일)
Department of Applied Mathematics and Statistics, SUNY-Korea

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.


June 19 Wednesday
4:30 PM - 5:30 PM
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Room B232
IBS (기초과학연구원)


Sang-il Oum
기초과학연구원 수리및계산과학연구단 이산수학그룹
대전 유성구 엑스포로 55 (우) 34126
Discrete Mathematics Group (DIMAG)
Center for Mathematical and Computational Sciences
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
E-mail: dimag@ibs.re.kr
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