Chung-Yau Invariants and Graphs with Symmetric Hitting Times

被引:16
作者
Chang, Xiao [1 ]
Xu, Hao [1 ]
机构
[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
关键词
random walk; Chung-Yau invariants; reversible graphs; DISCRETE GREENS-FUNCTIONS; RANDOM-WALKS;
D O I
10.1002/jgt.22099
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The Chung-Yau graph invariants were originated from Chung-Yau's work on discrete Green's function. We show how they could be used to derive new explicit formulas and estimates for hitting times of random walks. We also apply them to study graphs with symmetric hitting times. (C) 2017 Wiley Periodicals, Inc.
引用
收藏
页码:691 / 705
页数:15
相关论文
共 19 条
[1]  
Aleliunas Romas., 1979, Proceedings of the 20th Symposium on Foundations of Computer Science (FOCS), P218, DOI [10.1109/SFCS.1979.34, DOI 10.1109/SFCS.1979.34]
[2]  
[Anonymous], 1984, CARUS MATH MONOGRAPH
[3]  
Chandra A. K., 1989, Proceedings of the Twenty First Annual ACM Symposium on Theory of Computing, P574, DOI 10.1145/73007.73062
[4]   Random Walks on Complete Multipartite Graphs [J].
Chang, Xiao ;
Xu, Hao .
PURE AND APPLIED MATHEMATICS QUARTERLY, 2015, 11 (03) :393-402
[5]   SPANNING TREES AND RANDOM WALKS ON WEIGHTED GRAPHS [J].
Chang, Xiao ;
Xu, Hao ;
Yau, Shing-Tung .
PACIFIC JOURNAL OF MATHEMATICS, 2015, 273 (01) :241-255
[6]   Resistance distance and the normalized Laplacian spectrum [J].
Chen, Haiyan ;
Zhang, Fuji .
DISCRETE APPLIED MATHEMATICS, 2007, 155 (05) :654-661
[7]   Discrete Green's functions [J].
Chung, F ;
Yau, ST .
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2000, 91 (1-2) :191-214
[8]  
Chung Fan., 2011, Geometry and Analysis I, Advanced Lectures in Mathematics, V17, P285
[9]   Random walks on regular and irregular graphs [J].
Coppersmith, D ;
Feige, U ;
Shearer, J .
SIAM JOURNAL ON DISCRETE MATHEMATICS, 1996, 9 (02) :301-308
[10]   A TIGHT LOWER-BOUND ON THE COVER TIME FOR RANDOM-WALKS ON GRAPHS [J].
FEIGE, U .
RANDOM STRUCTURES & ALGORITHMS, 1995, 6 (04) :433-438