[sage-support] Well covered graph

2017-09-18 Thread Selvaraja S
Definition: 
A graph $G$ is called well-covered if all minimal vertex covers of $G$ have 
the same
number of elements. 

What is the coding to check well-covered graph?

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[sage-support] Re: FInd all paths of given length n

2017-07-27 Thread Selvaraja S
Thanks for the response.

sage: g=Graph(d)
sage: for p in g.subgraph_search_iterator(graphs.PathGraph(3)):
print(p)

This is giving the all the paths of length 3. But I have one more question.

Suppose $xyz$ is induced path of length 3. Note that $zyx$ is also induced 
path of length. 
Can I avoid this path?



On Thursday, July 27, 2017 at 12:07:04 PM UTC+5:30, fidelbc wrote:
>
> Yes we can. Suppose the path has length k and thus k+1 vertices. Then the 
> following command returns an iterator over all lists of vertices that 
> induce paths on k+1 vertices in G.
>
> G.subgraph_search_iterator(graphs.PathGraph(k+1),induced=True)
>
> More on this may be found at [1].
>
> [1]; 
> http://doc.sagemath.org/html/en/reference/graphs/sage/graphs/generic_graph.html#sage.graphs.generic_graph.GenericGraph.subgraph_search_iterator
>
> On Thursday, July 27, 2017 at 12:37:31 AM UTC-4, Selvaraja S wrote:
>>
>> Let $G$ be a finite simple graph. 
>> Can we find all paths(induced ) of given length?
>>
>>
>> Thanks in advance.
>>
>>

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[sage-support] FInd all paths of given length n

2017-07-26 Thread Selvaraja S
Let $G$ be a finite simple graph. 
Can we find all paths(induced ) of given length?


Thanks in advance.

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