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– 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), ...
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Walk:sequenceofadjacentvertices<v1,v2,v3,…>Trail:walkwithnorepeatededgePath:walkwithnorepeatedvertex ClosedWalk:closedwalkwith>1vertices<v1,v2,…,v1>Circuit:closedwalkwithnorepeatededgeCycle:closedwalkwithnorepeatedvertex Terminology Connected-nessComponent:inagraph,amaximalsetofconnectedverticesBridge:edge...
It reduces an instance (x,k) of a parameterized problem to an instance (x′,k′) that has an equivalent yes/no answer, such that |x′| and k′ are bounded by f(k) for some computable function f, called the size of the kernel. If f is a polynomial function, the parameterized ...
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, treewidth and minimum ?ll-in can indeed be solved in polynomial time. They later showed in [3] that if a graph has a polynomial...
a quadric energy 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...
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