scholarly journals Oriented diameter of star graphs

Author(s):  
K.S. Ajish Kumar ◽  
Deepak Rajendraprasad ◽  
K.S. Sudeep
Keyword(s):  
2021 ◽  
Vol 1813 (1) ◽  
pp. 012028
Author(s):  
Jutao Zhao ◽  
Shiying Wang
Keyword(s):  

2021 ◽  
Vol 1070 (1) ◽  
pp. 012002
Author(s):  
G Prasad ◽  
R Anandan ◽  
G Uma Maheswari
Keyword(s):  

Author(s):  
Cheng-Kuan Lin ◽  
Jimmy J. M. Tan ◽  
Hua-Min Huang ◽  
D. Frank Hsu ◽  
Lih-Hsing Hsu

2011 ◽  
Vol 218 (7) ◽  
pp. 3856-3867 ◽  
Author(s):  
Cheng Dongqin ◽  
Guo Dachang
Keyword(s):  

2012 ◽  
Vol 11 (5) ◽  
pp. 1273-1286 ◽  
Author(s):  
Anastasiia Anishchenko ◽  
Alexander Blumen ◽  
Oliver Mülken
Keyword(s):  

1996 ◽  
Vol 06 (01) ◽  
pp. 127-136 ◽  
Author(s):  
QIAN-PING GU ◽  
SHIETUNG PENG

In this paper, we give two linear time algorithms for node-to-node fault tolerant routing problem in n-dimensional hypercubes Hn and star graphs Gn. The first algorithm, given at most n−1 arbitrary fault nodes and two non-fault nodes s and t in Hn, finds a fault-free path s→t of length at most [Formula: see text] in O(n) time, where d(s, t) is the distance between s and t. Our second algorithm, given at most n−2 fault nodes and two non-fault nodes s and t in Gn, finds a fault-free path s→t of length at most d(Gn)+3 in O(n) time, where [Formula: see text] is the diameter of Gn. When the time efficiency of finding the routing path is more important than the length of the path, the algorithms in this paper are better than the previous ones.


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