neo4j - create new relationships along path -

assuming topology:

create  (mbp {name: "macbookpro"}),  (fb {name:"fritzbox"}),  (eue {name: "1u1"}),  (inet {name:"internet"}),  (mnh {name:"mannheim"}),  (hdb {name:"heidelberg"}),  (stg {name: "stuttgart"}),  (lnd {name:"lindt"}),  (ylo {name:"ylo"}),  (qvin {name:"qvin"}),  (mbp) -[:lnk {bw:100}]->(fb),  (fb)-[:lnk {bw:32}]->(eue),  (eue)-[:lnk {bw:10000}]->(inet),  (inet)-[:lnk {bw:10000}]->(mnh),  (mnh)-[:lnk {bw:10000}]->(hdb),  (hdb)-[:lnk {bw:1000}]->(lnd),   // route option 1  (mnh)-[:lnk {bw:10000}]->(stg),  (stg)-[:lnk {bw:10000}]->(lnd),  // route option 2  (lnd)-[:lnk {bw:1000}]->(ylo),  (lnd)-[:lnk {bw:1000}]->(qvin),  (ylo)-[:lnk {bw:1000}]->(qvin) 

i can use query maximum bandwidth path between "macbookpro" , "ylo":

match (s {name:"macbookpro"}),   (t {name:"ylo"}),   p=allshortestpaths(s-[*]-t)   return     p path,     reduce( mini=100000,             r in relationships(p) |               case when mini < r.bw mini else r.bw end)         maximal_bandwidth   order maximal_bandwidth desc   limit 1; 

how can create new relationships (e.g. session_rtp) along nodes of path?

following snowburnts suggestion, came partial solution:

match (s {name:"macbookpro"}),   (t {name:"ylo"}),    p=allshortestpaths(s-[*]-t)       p path,    reduce( mini=100000,            r in relationships(p) |              case when mini < r.bw mini else r.bw end)         maximal_bandwidth   order maximal_bandwidth desc limit 1   foreach( r in relationships(path)| set r.session = 1 ) 

followed by:

match (a)-[r:lnk {session : 1}]->(b) create (a)-[:session_rtp{id:1}]->(b) 

is possible compress in single statement?

after reading comment

i understood path minimum bw should have nodes connected relation called session_rip.

try below

match (s {name:"macbookpro"}),   (t {name:"ylo"}),    p=allshortestpaths(s-[*]-t)       p path,    reduce( mini=100000,            r in relationships(p) |              case when mini < r.bw mini else r.bw end)         maximal_bandwidth   order maximal_bandwidth desc limit 1   relationships(p) rels   foreach (t in rels |    foreach (a in [startnode(t)]|    foreach (b in [endnode(t)]|    create a-[:session_rtp]->b   )))