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Graph:anorderedset(V,E),whereVisvertexset,Eisedgeset,subsetofVxV.EdgesareundirectedMulti-graph:withmulti-edgesand/orself-loopsDigraph:withdirectededgesn-graph:eachedgeconnectsnvertices Terminology Walk:sequenceofadjacentvertices<v1,v2,v3,…>Trail:walkwithnorepeatededgePath:walkwithnorepeatedvertex Closed...
– A function f (n) is a upper bound of the edge expansion of π facing adver- saries in C, denoted f (n) ≥ hπ,Dπ,C(n), if there exists a polynomial rela- tion between n and κ such that for infinitely many n it holds that for every x = (x1, . . . , xn), ...
conjecture that for a class of graph which a polynomial number of minimal separators, these problems can be solved in polynomial time. Bouchitt? and e Todinca introduced the notion of potential maximal clique (see [2]) and showed that if the number of potential maximal cliques is polynomial,...
If f is a polynomial function, the parameterized problem is said to admit a polynomial kernel. Polynomial kernels are highly sought after, as they allow problem instances to be reduced to a relatively small size. We investigate polynomial kernels for the class of graph modification problems, in ...
function. Thus least squares minimization yields the global optimal solution. We also demonstrated that VGL can be applied to an easy-to-build volumetric graph without meshing surface interiors with tetrahedra. Another contribution of our work is a 2D sketch-based deformation system, which just like...
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