scholarly journals On the symmetric difference of sets as a group operation

1948 ◽  
Vol 1 (3) ◽  
pp. 203-205 ◽  
Author(s):  
Henry Helson
Keyword(s):  
Symmetric Difference ◽  
Group Operation

Autometrization and the Symmetric Difference

1953 ◽  
Vol 5 ◽  
pp. 324-331 ◽  
Author(s):  
J. G. Elliott
Keyword(s):  
Boolean Algebra ◽  
Distance Function ◽  
Symmetric Difference ◽  
Group Operation ◽  
Metric Distance

The fact that the symmetric difference is a group operation in a Boolean algebra is, of course, well known. Not so well known is the fact observed by Ellis [3] that it possesses some of the desirable properties of a metric distance function. Specifically, if * denotes this operation, it is easy to verify that

VBTree Tutorial: Automatic Completion of Group Operation on Structural Dataset

2020 ◽  
Author(s):  
Chen Zhang ◽  
Huakang Bian ◽  
Kenta Yamanaka ◽  
Akihiko Chiba
Keyword(s):  
Group Operation

scholarly journals A theorem on connected graphs in which every edge belongs to a 1-factor

1974 ◽  
Vol 18 (4) ◽  
pp. 450-452 ◽  
Author(s):  
Charles H. C. Little
Keyword(s):  
Symmetric Difference ◽  
Connected Graphs

In this paper, we consider factor covered graphs, which are defined basically as connected graphs in which every edge belongs to a 1-factor. The main theorem is that for any two edges e and e′ of a factor covered graph, there is a cycle C passing through e and e′ such that the edge set of C is the symmetric difference of two 1-factors.

THE WIENER INDEX OF DISJUNCTION AND SYMMETRIC DIFFERENCE OF TWO GRAPHS

2021 ◽  
Vol 10 (4) ◽  
pp. 2045-2052
Author(s):  
S. Menaka ◽  
R.S. Manikandan ◽  
R. Muruganandam
Keyword(s):  
Wiener Index ◽  
Symmetric Difference
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