scholarly journals On a conjecture on the balanced decomposition number

2013 ◽  
Vol 313 (14) ◽  
pp. 1511-1514 ◽  
Author(s):  
Gerard Jennhwa Chang ◽  
N. Narayanan
Keyword(s):  
Balanced Decomposition ◽  
Decomposition Number

scholarly journals On the Balanced Decomposition Number

2015 ◽  
Vol 31 (6) ◽  
pp. 2377-2380
Author(s):  
Tadashi Sakuma
Keyword(s):  
Balanced Decomposition ◽  
Decomposition Number

scholarly journals The edge geodetic self decomposition number of a graph

2020 ◽  
Author(s):  
John J ◽  
Stalin D
Keyword(s):  
Connected Graph ◽  
Maximum Cardinality ◽  
Connected Graphs ◽  
Edge Disjoint ◽  
General Properties ◽  
Geodetic Number ◽  
Simple Connected Graph ◽  
Decomposition Number

Let  G = (V, E)  be a simple connected  graph  of order  p and  size q.  A decomposition  of a graph  G is a collection  π  of edge-disjoint sub graphs  G1, G2, ..., Gn  of G such  that every  edge of G belongs to exactly  one Gi , (1 ≤ i ≤ n) . The decomposition  π = {G1, G2, ....Gn } of a connected  graph  G is said to be an edge geodetic self decomposi- tion  if ge (Gi ) = ge (G), (1 ≤ i ≤ n).The maximum  cardinality of π is called the edge geodetic self decomposition  number of G and is denoted by πsge (G), where ge (G) is the edge geodetic number  of G.  Some general properties   satisfied  by  this  concept  are  studied.    Connected  graphs which are edge geodetic self decomposable  are characterized.

scholarly journals Balanced decomposition of a vertex-colored graph

2008 ◽  
Vol 156 (18) ◽  
pp. 3339-3344 ◽  
Author(s):  
Shinya Fujita ◽  
Tomoki Nakamigawa
Keyword(s):  
Colored Graph ◽  
Balanced Decomposition

Graphs with small balanced decomposition numbers

2012 ◽  
Vol 28 (2) ◽  
pp. 505-510
Author(s):  
Hsiang-Chun Hsu ◽  
Gerard Jennhwa Chang
Keyword(s):  
Decomposition Numbers ◽  
Balanced Decomposition

scholarly journals An Adaptive Variational Mode Decomposition Technique with Differential Evolution Algorithm and Its Application Analysis

2021 ◽  
Vol 2021 ◽  
pp. 1-5
Author(s):  
Yuanxin Wang
Keyword(s):  
Differential Evolution ◽  
Differential Evolution Algorithm ◽  
Decomposition Technique ◽  
Variational Mode Decomposition ◽  
Mode Decomposition ◽  
Penalty Factor ◽  
Application Analysis ◽  
Evolution Algorithm ◽  
Decomposition Number ◽  
Selection Of

Variational mode decomposition is an adaptive nonrecursive signal decomposition and time-frequency distribution estimation method. The improper selection of the decomposition number will cause under decomposition or over decomposition, and the improper selection of the penalty factor will affect the bandwidth of modal components, so it is very necessary to look for the optimal parameter combination of the decomposition number and the penalty factor of variational mode decomposition. Hence, differential evolution algorithm is used to look for the optimization combination of the decomposition number and the penalty factor of variational mode decomposition because differential evolution algorithm has a good ability at global searching. The method is called adaptive variational mode decomposition technique with differential evolution algorithm. Application analysis and discussion of the adaptive variational mode decomposition technique with differential evolution algorithm are employed by combining with the experiment. The conclusions of the experiment are that the decomposition performance of the adaptive variational mode decomposition technique with differential evolution algorithm is better than that of variational mode decomposition.

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