نتایج جستجو برای: k center steiner harary index

تعداد نتایج: 1021890  

2008
Andrzej Dudek Vojtěch Rödl Peter Horák

A partial Steiner (k, l)-system is a k-uniform hypergraph G with the property that every l-element subset of V is contained in at most one edge of G . In this paper we show that for given k, l and t there exists a partial Steiner (k, l)-system such that whenever an l-element subset from every edge is chosen, the resulting l-uniform hypergraph contains a clique of size t. As the main result of t...

Journal: :CoRR 2014
Fatihcan M. Atay Shiping Liu

We introduce a family of multi-way Cheeger-type constants {h k , k = 1, 2, . . . , N} on a signed graph Γ = (G, σ) such that h k = 0 if and only if Γ has k balanced connected components. These constants are switching invariant and bring together in a unified viewpoint a number of important graph-theoretical concepts, including the classical Cheeger constant, the non-bipartiteness parameter of D...

Journal: :Adv. in Math. of Comm. 2011
Tuvi Etzion Alexander Vardy

The q-analogs of covering designs, Steiner systems, and Turán designs are studied. It is shown that q-covering designs and q-Turán designs are dual notions. A strong necessary condition for the existence of Steiner structures (the q-analogs of Steiner systems) over F2 is given. No Steiner structures of strength 2 or more are currently known, and our condition shows that their existence would im...

Journal: :Advances in Applied Mathematics 2016

Journal: :AKCE International Journal of Graphs and Combinatorics 2020

Journal: :Clinical infectious diseases : an official publication of the Infectious Diseases Society of America 2001
R L Guerrant T Van Gilder T S Steiner N M Thielman L Slutsker R V Tauxe T Hennessy P M Griffin H DuPont R B Sack P Tarr M Neill I Nachamkin L B Reller M T Osterholm M L Bennish L K Pickering

Richard L. Guerrant, Thomas Van Gilder, Ted S. Steiner, Nathan M. Thielman, Laurence Slutsker, Robert V. Tauxe, Thomas Hennessy, Patricia M. Griffin, Herbert DuPont, R. Bradley Sack, Phillip Tarr, Marguerite Neill, Irving Nachamkin, L. Barth Reller, Michael T. Osterholm, Michael L. Bennish, and Larry K. Pickering University of Virginia, Charlottesville; Centers for Disease Control and Preventio...

Journal: :Inf. Sci. 2008
Jeng-Jung Wang Tung-Yang Ho Daniela Ferrero Ting-Yi Sung

The diameter of a graph is an important factor for communication as it determines the maximum communication delay between any pair of processors in a network. Graham and Harary [N. Graham, F. Harary, Changing and unchanging the diameter of a hypercube, Discrete Applied Mathematics 37/38 (1992) 265–274] studied how the diameter of hypercubes can be affected by increasing and decreasing edges. Th...

Journal: :Electronic Notes in Discrete Mathematics 2001
Jeong Han Kim

A partial Steiner system Sp(t, k, n) is a collection of k-subsets (i.e. subsets of size k) of n element set such that every t-subset is contained in at most one k-subset. To avoid trivial cases, we assume 2 ≤ t < k < n. It is easy to see that the size of a partial Steiner system Sp(t, k, n) is at most ( n t )

2012
MohammadTaghi Hajiaghayi Rohit Khandekar Guy Kortsarz Zeev Nutov

We design combinatorial approximation algorithms for the Capacitated Steiner Network (Cap-SN) problem and the Capacitated Multicommodity Flow (Cap-MCF) problem. These two problems entail satisfying connectivity requirements when edges have costs and hard capacities. In Cap-SN, the flow has to be supported separately for each commodity while in Cap-MCF, the flow has to be sent simultaneously for...

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