@article{712090f4b4d04c91b01adf4a297ab06c,
title = "Two refined major-balance identities on 321-avoiding involutions",
abstract = "Making use of a combinatorial approach, we prove two refined major-balance identities on the 321-avoiding involutions in Sn, respecting the number of fixed points and the number of descents, respectively. The former one is proved in terms of ordered trees whose non-root nodes have exactly two children, and the latter one is proved in terms of lattice paths within a ⌊n2⌋×⌈n2⌉ rectangle.",
author = "Eu, {Sen Peng} and Fu, {Tung Shan} and Pan, {Yeh Jong} and Ting, {Chien Tai}",
note = "Funding Information: The authors thank the referees for carefully reading the manuscript and providing helpful suggestions. This research is partially supported by MOST grants 101-2115-M-003-013-MY3 (S.-P. Eu), 103-2115-M-153-004-MY2 (T.-S. Fu), and 103-2115-M-127-001 (Y.-J. Pan). Publisher Copyright: {\textcopyright} 2015 Elsevier Ltd.",
year = "2015",
month = oct,
day = "1",
doi = "10.1016/j.ejc.2015.04.002",
language = "English",
volume = "49",
pages = "250--264",
journal = "European Journal of Combinatorics",
issn = "0195-6698",
publisher = "Academic Press Inc.",
}