bipartite

I would like to rank items according to a given users preference (items liked by the user) based on a random walk on a directed bipartite graph using gremlin in groovy. The graph has the following basic structure: [User1] ---'likes'---> [ItemA] <---'likes'--- [User2] ---'likes'---> [ItemB] Hereafter the query that I came up with: def runRankQuery(def userVertex) { def m = [:] def c = 0 while (c < 1000) { userVertex .out('likes') // get all liked items of current or similar user .shuffle[0] // select randomly one liked item .groupCount(m) // update counts for selected item .in('likes') // get

I seem to have found an algorithm but am having trouble understanding it, I was wondering if any of you knew the generic outline of the algorithm. Here is the link to the algorithm I found on page 2 http://www.cse.iitb.ac.in/~sundar/cs435/lecture23.pdf Luixo Algorithm is simple as that: Find unmatched vertex, mark it as not included in minimum vertex cover. Mark all matched neighbours of this vertex as included in minimum vertex cover. Treat all mates of vertexes from previous step as unmatched vertexes and repeat step 1. If recursion ended, repeat from step 1 (that is case of several

The following algorithm problem occurred to me while drawing a graph for something unrelated: We have a plane drawing of a bipartite graph, with the disjoint sets arranged in columns as shown. How can we rearrange the nodes within each column so that the number of edge crossings is minimized? I know this problem is NP-hard for general graphs ( link ), but is there some trick considering that the graph is bipartite? As a follow-up, what if there is a third column w , which only has edges to v ? Or further? The paper On the one-sided crossing minimization in a bipartite graph with large degrees

I have the following data frame: structure(list(X1 = structure(c(1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 3L, 3L, 3L, 3L, 4L, 4L, 4L, 4L, 4L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 6L, 6L, 6L ), .Label = c("1", "2", "3", "4", "5", "6"), class = "factor"), X2 = structure(c(1L, 6L, 8L, 10L, 12L, 13L, 3L, 4L, 1L, 6L, 7L, 9L, 10L, 12L, 13L, 3L, 4L, 5L, 10L, 12L, 13L, 4L, 1L, 6L, 12L, 13L, 3L, 1L, 6L, 7L, 8L, 10L, 11L, 12L, 13L, 2L, 3L, 11L, 12L, 13L), .Label = c("I1", "I10", "I11", "I12", "I13", "I2", "I3", "I4", "I5", "I6", "I7", "I8", "I9"), class = "factor")),

Can someone recommend a library or code to visualize bipartite graphs in C#? Graph# seems not to support this kind of graph directly (but has some support to disentangle vertices). I want to create some graphic like this bipartite graph with some text in the nodes. Nodes being same width and height would be ideal. A WPF control would be perfect, as it exists for graph#. Perhaps even a XAML definition exists? As an alternativ: a report window can also be very good. Probably someone with more experience in Graph# can provide hints on how to do this utilizing Graph#. Tried around a bit with