Vojnovic. Balanced graph edge partition. In SIGKDD, pages 1456-1465, 2014.Florian Bourse, Marc Lelarge, and Milan Vojnovic. 2014. Balanced Graph Edge Partition. In Proceedings of the 20th ACM SIGKDD International Conference on ...
For a graph $G=(V,E)$ of even order, a partition $(V_1,V_2)$ of the vertices is said to be perfectly balanced if $|V_1|=|V_2|$ and the numbers of edges in the subgraphs induced by $V_1$ and $V_2$ are equal. For a base graph $H$ define a random graph $G(H,p...
For the problem a minimum number of edges in a graph need to be found that, when cut, partition the vertices into k equal-sized sets. We develop a general reduction which identifies some sufficient conditions on the considered graph class in order to prove the hardness of the problem. We ...
The partition function π induces a new graph Gπ=Gπ(S,Ec), where S= {S1, S2,…,Sk} and an edge {Sx,Sy}∈Ec exists if there are two adjacent vertices u,v∈V such that u∈Sx and v∈Sy. The set Ec corresponds to General procedure Our multilevel tabu search approach follows th...
graph-based model where balls are not allowed to choose any two randombins but only bins that are connected by an edge in a given underlying graph. While the earlier studies use a complete underlying graph, an understand- ing of balls and bins processes over arbitrary graphs is ...
A -design of the complete graph is a set of subgraphs isomorphic to (blocks) whose edge-sets partition the edge-set of . is balanced if the number of blocks containing x is the same number of blocks containing y for any two vertices x and y. is orbit-balanced, or strongly balanced, ...
We consider graphs without loops or parallel edges in which every edge is assigned + or . Such a signed graph is balanced if its vertex set can be partitioned into parts V1 and V2such that all...Robert CrowstonRoyal Holloway, University of LondonGregory Gutin...
t←0 repeat Assignment step: Calculate edge weights. Solve an Assignment problem. Update step: Calculate new centroid locations Ct+1 t←t+1 until centroid locations do not change. Output partitioning. Balanced K-Means 37 After convergence of the algorithm the partition of points Xi, i ∈ [1...
A rough description of the problem: You're given an undirected weighted graphG=(V,E)G=(V,E). You want to partition the vertices intokkdisjoint components such that each component contains aroundnknkvertices (let's say no component can contain more thanϵnkϵnkvertices for some specified...
A prism in a graph G is an induced subgraph that consists of two disjoint cliques {a1,a2,a3} and {b1,b2,b3} and three disjoint paths P1,P2,P3 from ai to bi for each i, and with no other edge except for those in the two cliques and in the three paths. The paths P1,P2,P3 ...