My research interests lie in graph theory, particularly, extremal and spectral problems on regular graphs.
2nd AORC workshop; Anmyeondo, Dec. 15-17, 2016
14th KIAS Combinatorics Workshop; Busan, Dec. 19-21, 2016
2016 IRCTM-AORC Winter Conference on MATRIX THEORY AND RELATED TOPICS; Shanghai University, China, Dec. 28-31, 2016.
The 15th Japan-Korea Workshop on Algebra and Combinatorics ; Kumamoto University, Japan, Feb. 9-11, 2017.
The Second Malta Conference in Graph Theory and Combinatorics; Qawra, Malta, June 26-30, 2017.
ILAS 2017 Connections ; Iowa State Univ., U.S.A., July 24-28, 2017.
Eurocomb 2017 ; Vienna, Austria, Aug. 28 - Sep 1, 2017.
14. Spectral radius and fractional matchings in graphs
Eurepean J. Combin. 55 (2016), 144--148, arxiv
13. On r-dynamic coloring of graphs
(with Sogol Jahanbekam, Jaehoon Kim, and Douglas B. West),
Disc. Appl. Math. 19 (2016), 65--72
12. The difference and ratio of the fractional matching number and the matching number of graphs
(with Ilkyoo Choi and Jaehoon Kim),
Discrete Math. 339 (2016), 1382--1386, arxiv (8pp).
11. Cubic graphs with large ratio of independent domination number to domination number
(with Douglas B. West),
Graphs Combin. 32 (2016), 773--776
10. Edge-connectivity in regular multigraphs from eigenvalues,
Linear Algebra Appl. 491 (2016), 4--14
(Proceedings of the 19th ILAS Conference, Seoul, South Korea 2014), arxiv (11pp)
9. Sharp bounds for the Chinese Postman Problem in 3-regular graphs and multigraphs
(with Douglas B. West),
Disc. Appl. Math. 190-191 (2015), 163--168.
8. Sharp lower bounds on the fractional matching number
(with Roger E. Behrend and Douglas B. West),
Disc. Appl. Math. 186 (2015), 272--274.
7. Average connectivity and average edge-connectivity in graphs
(with Jaehoon Kim),
Discrete Math. 313 (2013), no. 20, 2232--2238.
6. Hamiltonicity in regular graphs
(with Daniel W. Cranston)
Inf. Process. Lett. 113 (2013), no. 22-24, 858--860.
5. Game matching number of graphs
(with Daniel W. Cranston, William B. Kinnersley, Doulgas B. West),
Discrete Appl. Math.
161 (2013), no. 13-14, 1828--1836.
0. Matchings, Connectivity, and Eigenvalues in Regular Graphs
Ph.D. Dissertation, University of Illinois, 2011
4. Longest Cycles in k-connected Graphs with Given Independence Number
(with
Douglas B. West and Hehui Wu),
J. Combinatorial Theory (B) 101,
(2011) 480--485
3. Matching, and Edge-Connectivity in Regular Graphs
(with Douglas B. West),
European. J. Combinatorics 32, (2011), 324--329
2. Edge-connectivity, Matching, and Eigenvalue in Regular Graphs
(with
Sebastian M. Cioaba),
SIAM. J. Discrete. Math 24, (2010)
1470--1481
1. Balloons, Cut-edges, Matchings and Total domination in Regular Graphs of
Odd Degree
(with Douglas B. West),
J. Graph Theory 64, (2010) 116--131
19. On the Wiener index, distance cospectrality and transmission regular graphs (with Aida Abiad, Boris Brimkov, Aysel Erey, Lorinda Leshock, Xavier Martinez-Rivera, Sung-Yell Song, Jason Williford), (submitted), arxiv
18. The second largest eigenvalue and vertex-connectivity of regular multigraphs, (submitted), arxiv
17. Interlacing families and the Hermitian spectral norm of digraphs
(with Gary Greaves and Bojan Mohar), (submitted), arxiv
16. Finding a spanning Halin subgraph in 3-connected {K_{1,3}, P_5}-free graphs
(with Guantao Chen, Jie Han, Songling Shan, and Shoich Tsuchiya), (submitted)
15. Matchings in generalized Halin graphs
(with Guantao Chen and Shoichi Tsuchiya), (submitted)
Graph Theory and Combinatorics Conferences
Journal of Combinatorial Theory Series B
Linear Algebra and its Applications
Journal of Combinatorial Theory Series A
Combinatorics, Probability and Computing
European Journal of Combinatorics
Siam Journal on Discrete Mathematics
The Electronic Journal of Combinatorics
Information Processing Letters
last updated: Nov. 21st 2016