Must a bipartite graph be simple?
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Are all bipartite graphs simple i.e. is being simple a requirement for a graph to be considered bipartite? Most definitions don't mention anything about it, however the following definition of a bipartite graph from the University of Chicago does:
A bipartite graph is a simple graph in which...
Source: http://www.math.uchicago.edu/~may/VIGRE/VIGRE2007/REUPapers/FINALAPP/Salvatore.pdf
I could not find a definitive answer anywhere.
bipartite-graph
asked Dec 7 '18 at 0:31
HelloHello
1
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$begingroup$
Are all bipartite graphs simple i.e. is being simple a requirement for a graph to be considered bipartite? Most definitions don't mention anything about it, however the following definition of a bipartite graph from the University of Chicago does:
A bipartite graph is a simple graph in which...
Source: http://www.math.uchicago.edu/~may/VIGRE/VIGRE2007/REUPapers/FINALAPP/Salvatore.pdf
I could not find a definitive answer anywhere.
bipartite-graph
asked Dec 7 '18 at 0:31
HelloHello
1
$endgroup$
$begingroup$
There is no official standart terminology for graph theory. For some authors, all graphs are simple. For others, the default is to allow multiple edges. It seems a little weird to me to allow multiple edges in general but make "simple" part of the definition of "bipartite", but it wouldn't surprise me too much if someone has done that.
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– bof
Dec 7 '18 at 0:46
add a comment |
$begingroup$
Are all bipartite graphs simple i.e. is being simple a requirement for a graph to be considered bipartite? Most definitions don't mention anything about it, however the following definition of a bipartite graph from the University of Chicago does:
A bipartite graph is a simple graph in which...
Source: http://www.math.uchicago.edu/~may/VIGRE/VIGRE2007/REUPapers/FINALAPP/Salvatore.pdf
I could not find a definitive answer anywhere.
bipartite-graph
asked Dec 7 '18 at 0:31
HelloHello
1
$endgroup$
Are all bipartite graphs simple i.e. is being simple a requirement for a graph to be considered bipartite? Most definitions don't mention anything about it, however the following definition of a bipartite graph from the University of Chicago does:
A bipartite graph is a simple graph in which...
Source: http://www.math.uchicago.edu/~may/VIGRE/VIGRE2007/REUPapers/FINALAPP/Salvatore.pdf
I could not find a definitive answer anywhere.
bipartite-graph
bipartite-graph
asked Dec 7 '18 at 0:31
HelloHello
1
asked Dec 7 '18 at 0:31
HelloHello
1
asked Dec 7 '18 at 0:31
HelloHello
1
asked Dec 7 '18 at 0:31
HelloHello
1
asked Dec 7 '18 at 0:31
HelloHello
1
1
$begingroup$
There is no official standart terminology for graph theory. For some authors, all graphs are simple. For others, the default is to allow multiple edges. It seems a little weird to me to allow multiple edges in general but make "simple" part of the definition of "bipartite", but it wouldn't surprise me too much if someone has done that.
$endgroup$
– bof
Dec 7 '18 at 0:46
add a comment |
$begingroup$
There is no official standart terminology for graph theory. For some authors, all graphs are simple. For others, the default is to allow multiple edges. It seems a little weird to me to allow multiple edges in general but make "simple" part of the definition of "bipartite", but it wouldn't surprise me too much if someone has done that.
$endgroup$
– bof
Dec 7 '18 at 0:46
$begingroup$
There is no official standart terminology for graph theory. For some authors, all graphs are simple. For others, the default is to allow multiple edges. It seems a little weird to me to allow multiple edges in general but make "simple" part of the definition of "bipartite", but it wouldn't surprise me too much if someone has done that.
$endgroup$
– bof
Dec 7 '18 at 0:46
$begingroup$
There is no official standart terminology for graph theory. For some authors, all graphs are simple. For others, the default is to allow multiple edges. It seems a little weird to me to allow multiple edges in general but make "simple" part of the definition of "bipartite", but it wouldn't surprise me too much if someone has done that.
$endgroup$
– bof
Dec 7 '18 at 0:46
add a comment |
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$begingroup$
There is no official standart terminology for graph theory. For some authors, all graphs are simple. For others, the default is to allow multiple edges. It seems a little weird to me to allow multiple edges in general but make "simple" part of the definition of "bipartite", but it wouldn't surprise me too much if someone has done that.
$endgroup$
– bof
Dec 7 '18 at 0:46