In reading

http://www.boost.org/doc/libs/1_62_0/libs/graph/doc/adjacency_list.html

as example:

typedef adjacency_list<listS, vecS> Graph; // VertexList=vecS

all cases are wrong

and

typedef adjacency_list<listS, listS> Graph; // VertexList=listS

where only one case is correct which leave the programmer walking the mine field.  Of course same can be said for stl.

My goal to remove graph vertices based on the value of the connected components.  I currently have a method which uses connected components to generate a connected components list.  I then generate a histogram of the connected components values thus giving me how many vertices are connected and what the connection property value is... assuming I understand connected components however I have thought I understood portions of boost only to find through some brain warp and folding my thought process back on itself like an origami master that I came to understand how certain parts work.

vertid, component

0 0
1 0
2 0
3 0
4 1
5 1
6 2
7 2
8 2
9 2
10 2
11 2
12 3
13 3

so in this simple example vert ids [0-3] are connected in subnet 0 with a total of 4, [4-5] are connected in sub net 1 with a total of 2, [6-11] are connected in subnet 2 with a total of 6, and [12-13] is connected in subnet 3 with a total of 2.

Histogram yields connected component value and number of vertices that have that value in the bin

component : bin counts

0: ####
1: ##
2: ######
3: ##

etc

for say subnet/subgraph less than 4 would yield the filtered histogram:

using values 1, and 3 from filtered histogram I can then find the vertex ids to filter. Yielding vertices 4,5,12, and 15 to be removed which would remove subnets 1 and 3.

4 1
5 1
12 3
13 3

I tried to use boost::accumulators::density and maybe I have a different idea of what a histogram really is, but for a typical histogram density is just plane broken due to the seemingly use of count for number of bins (seems to ignore tag::density::num_bins) and associated logic.
accumulator_t acc(
        tag::density::num_bins = n_bins,
        tag::density::cache_size = n_bins/2
        );
Sure wish there was a boost::accumulators::histogram that just did what we need as programmers. I am unsure as to how much boost coolaid to drink before finding any use for density. I did find this relating to the seemingly not as advertised implementation of density http://lists.boost.org/Archives/boost/2008/01/132801.php.  From http://www.boost.org/doc/libs/1_62_0/doc/html/accumulators/user_s_guide.html "The tag::density feature returns a histogram of the sample distribution. For more implementation details, see density_impl." err huh no it does not... at least in my testing. It would also be great if the abcicissas (intervals) were some how obtainable to compare to the ordinates  (bin counts) . Note the histogram.hpp attached there.  So I write by own histogram code using stl. I digress on that.

So as I said I  then filter the vertex vs connected components data based on a threshold say 4 to remove all vertices that are not connected to 4 or more vertices in a subnet/subgraph

So I then have a list of vertices (subnets/subgraphs) that I wish to prune from the graph thus these questions:

Question 1:

if finding a list of vertices to erase, sorting them, and then using, a reverse iterator to remove(*itr, g) would this also not work? If this works why is it now shown as an example of vecS vertex removal working?

Question 2:

Should there not be a  boost graph-ish way of doing this such as coloring vertices to be pruned by possibly adding property prune = true. then maybe a future call to prune(g)

Question 3:

Possibly there is a way to get filtered_graph to do the trick?

Statement:

it is unfortunate the use of the term vertex/vertices in stead of node(s) in boost graph.  As some graphs have a vertex (euclidean geometry) such as a graph of the center-lines of the vascular network of a brain while other graphs do not.  It is very confusing in this instance to keep the two strait in code. Ugh!