The (degree-) Kirchhoff indices in random polygonal chains

2021 ◽  
Vol 304 ◽  
pp. 63-75
Author(s):  
Jiajian Li ◽  
Weizhong Wang
Keyword(s):  
Author(s):  
Sergey Bereg ◽  
Minghui Jiang ◽  
Wencheng Wang ◽  
Boting Yang ◽  
Binhai Zhu

2019 ◽  
Vol 469 (2) ◽  
pp. 537-548
Author(s):  
Shouliu Wei ◽  
Wai Chee Shiu
Keyword(s):  

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 36691-36701
Author(s):  
Saurabh Upadhyay ◽  
A. Pedro Aguiar
Keyword(s):  

1993 ◽  
Vol 03 (04) ◽  
pp. 383-415 ◽  
Author(s):  
LEONIDAS J. GUIBAS ◽  
JOHN E. HERSHBERGER ◽  
JOSEPH S.B. MITCHELL ◽  
JACK SCOTT SNOEYINK

We study several variations on one basic approach to the task of simplifying a plane polygon or subdivision: Fatten the given object and construct an approximation inside the fattened region. We investigate fattening by convolving the segments or vertices with disks and attempt to approximate objects with the minimum number of line segments, or with near the minimum, by using efficient greedy algorithms. We give some variants that have linear or O(n log n) algorithms approximating polygonal chains of n segments. We also show that approximating subdivisions and approximating with chains with. no self-intersections are NP-hard.


1995 ◽  
Vol 13 (1) ◽  
pp. 123-140 ◽  
Author(s):  
W. J. Lenhart ◽  
S. H. Whitesides
Keyword(s):  

2001 ◽  
Vol 26 (3) ◽  
pp. 269-281 ◽  
Author(s):  
T. Biedl ◽  
E. Demaine ◽  
M. Demaine ◽  
S. Lazard ◽  
A. Lubiw ◽  
...  

2015 ◽  
Vol 41 (2) ◽  
pp. 143-149
Author(s):  
A. A. Antonova ◽  
K. A. Absatova ◽  
A. A. Korneev ◽  
A. V. Kurgansky

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