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Article
On computational complexity of membership test in flow games and linear production games
Let Γ≡(N,v) be a cooperative game with the player set N and characteristic function v: 2N→R. An imputation of the game is in the core if no subset of players could gain advantage by splitting from the grand coal...
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Chapter and Conference Paper
Membership for Core of LP Games and Other Games
Let Γ = (N, v) be a cooperative game with the player set N and characteristic function v: 2N → R. An imputation of the game is in the core if no subset of players could gain advantage by splitting from the grand ...
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Article
Tree decomposition
A tree decomposition of graphG = (V, E) is referred to as a partition of edge setE into edge-disjoint trees. Given (not necessarily distinct) vertices u1, u2 ⋯ uk∈V with k⩾2, a sufficient and necessary condition ...
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Article
A [k,k+1]-factor containing given Hamiltonian cycle
Letk⩾2 be an integer and let G be a graph of ordern with minimum degree at leastk, n⩾8k -16 for evenn and n⩾6k - 13 for oddn. If the degree sum of each pair of nonadjacent vertices of G is at least n, then for an...
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Article
Minus domination number in cubic graph
An upper bound is established on the parameter Γ− (G) for a cubic graphG and two infinite families of 3-connected graphs Gk, Gk* are constructed to show that the bound is sharp and, moreover, the difference Γ−(Gk