How to check that given graph is Bipartite or not.,? Please provide me R syntax with Graph G=C5. It my kind request
Thanks. But when I make graph C5 using g=make_graph( ) & use is_bipartite(g) then its not working.
When I tried the same for cycle with 4 vertices C4, output is FALSE. But C4 is Bipartite graph. Please clear my doubt.
I’m sorry, you’re right. I deleted my post from above so it wouldn’t confuse future readers.
igraph uses the term “bipartite” somewhat idiosyncratically. It mostly applies to graph data structures that have a logical “
type” vertex attribute, marking each vertex as belonging to one or the other partition. It does not matter if there are edges between two partitions. The function
is_bipartite will only check if the graph has the
type vertex attribute, and that’s it.
To decide whether a graph is bipartite, as a mathematician would mean it, you can use
> c4 <- make_ring(4) > bipartite_mapping(c4) $res  TRUE $type  FALSE TRUE FALSE TRUE > c5 <- make_ring(5) > bipartite_mapping(c5) $res  FALSE $type logical(0)
$res component of the result tells you whether the graph is bipartite. The
$type component gives you a specific partitioning, if this is possible.
Thanks a a lot. why $type FALSE TRUE FALSE TRUE is showing? What do you mean by this.? Please clear it sir.
Dept of Maths,
nth truth value in the
$types vector indicates which partition the
nth vertex belongs to. FALSE = first partition, TRUE = second partition.
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