The Complete Multi-Partite Graph and its
COMPLETE PARTITE SUBGRAPHS IN DENSE HYPERGRAPHS
... COMPLETE PARTITE SUBGRAPHS IN DENSE HYPERGRAPHS VOJT ˇ ECH R ¨ ODL AND MATHIAS SCHACHT ...n-vertex graph that contains Ω(n ` ) copies of the complete graph K ...
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Rainbow perfect matchings in r-partite graph structures
... the complete bipartite graph K n,n to complete bipar- tite multigraphs, dense regular bipartite graphs and complete r-partite r-uniform ...
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Multi-partite entanglement in Davies environment
... genuinely multi-partite entangle- ment of N-qubit states initially prepared in the form of so called X-matrices with one qubit coupled to a Davies-type ...genuinely multi-partite concurrence ...
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The Linear Cutwidth and Cyclic Cutwidth of Complete n-Partite Graphs
... to its opposite region, and there is the same combination of r black and grey vertices counter-clockwise to each region to its opposite ...of its adjacent region will no longer con- tribute to the ...
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Some Algebraic and Combinatorial Properties of the Complete $T$-Partite Graphs
... bipartite graph G are the ...bipartite graph G is Cohen-Macaulay if and only if |V 1 | = |V 2 | and there is an order on vertices of V 1 and V 2 as x 1 , ...
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Classification of Touch Spam in Mobile Ad Networks using Bi-Partite Graph
... Click-through log C has an equal representation– a click-through bipartite graph G = (AD, GA, E). There are two different types of nodes, ad-controls and GAs in G. For every record <a, g, fag> in C, there is ...
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Multi-sided assignment games on m-partite graphs [WP]
... (weighted) graph, where the set of nodes corresponds to the set of agents and the weight of an edge is the value of the basic coalition formed by its adjacent ...m-partite graph G. In an ...
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Random polymers on the complete graph
... a complete theory has been established in the literature initiated in [24] and developped in particular in [7, 13, 23, 25, 27, 28, ...with its relation to thermodynamic ...
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The 4-girth-thickness of the complete graph
... finite graph G is planar if it can be embedded in the plane without any two of its edges ...planar graph of order n and girth g has size at most g −2 g (n − 2) (see [ 6]), and an acyclic graph ...
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Coincidence point theorems for some multi-valued mappings in complete metric spaces endowed with a graph
... a multi-valued G- contraction with the closed value has a fixed ...of graph-preserving for multi-valued mappings and proved their fixed point theorem in a complete metric space endowed with a ...
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The diameter of the minimum spanning tree of a complete graph
... An analysis of the height of the random walk S and its concentration around its expected value will form a crucial part of almost everything that follows. We will prove matching upper and lower bounds that ...
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Half-regular factorizations of the complete bipartite graph
... If case 2 holds, then do the same edge changing than in case 1. This causes a decrease in f (u, v) by one, and no change in f (u 0 , v), f (u, v 0 ) and f (u 0 , v 0 ). Altogether, ex(G) decreases by 1. In case 3, select ...
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quadratic function and its graph
... Part 2—a chance to be rescued A reef joins the island Tom is on to a neighbouring island. At any time, the depth of water over the reef is the same at all points on the straight path between the islands. This depth is ...
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An Average Case NP-complete Graph Coloring Problem *
... transition. Its box containing the state 𝑆 1 points toward 𝜎 1 (left or right as reflected in cases (a) and (b) ...flip its direction; otherwise, the head switches places with the other active cell of the ...
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Infinitary Term Graph Rewriting is Simple, Sound and Complete
... Note that the set of nodes N C(g) above forms a partition of the set of positions in g. We write ∼ g for the equivalence relation on P(g) that is induced by this partition. That is, π 1 ∼ g π 2 iff node g (π 1 ) = node g ...
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Collapsing cliques to get a planar graph is NP-complete
... strongly connected digraphs; and stars. We recall that the clustering coefficient of a graph G = (V, E) is defined as |V i |(|V 2|E i i |−1) | , and that a graph has core k if all its vertices have ...
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Minimum degree condition forcing complete graph immersion
... the complete bipartite graph K a,b contains a strong K a ...a complete graph on the vertices of A which is properly edge-coloured using at most a ...
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Coverings and matchings in r-partite hypergraphs
... 6 Conclusions and Future Work In this paper, we use ideas common in the math programming community to gain further insight into two well-studied combinatorics problems. First, we show that the r-Dimensional Vertex Cover ...
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On a graph isomorphic to its intersection graph: self-graphoidal graphs
... intersection graph Ω(W 5 , ψ) contains a complete subgraph K 4 , which contradicts the fact that no wheel contains complete subgraph other than K 2 and K 3 ...
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Antisymmetric multi-partite quantum states and their applications
... Abstract: Entanglement is a powerful resource for processing quantum information. In this context pure, maximally entangled states have received considerable attention. In the case of bi- partite qubit-systems the ...
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