Results 21 to 30 of about 492 (58)

Finite Projective Spaces, Geometric Spreads of Lines and Multi-Qubits

, 2012
Given a (2N - 1)-dimensional projective space over GF(2), PG(2N - 1, 2), and its geometric spread of lines, there exists a remarkable mapping of this space onto PG(N - 1, 4) where the lines of the spread correspond to the points and subspaces spanned by ...
Dye R. H., Havlicek H., Hirschfeld J. W. P., METOD SANIGA, Nielsen M. A., Payne S. E., Saniga M., Thas K.   +7 more
core   +1 more source

Community detection for networks with unipartite and bipartite structure

New Journal of Physics, 2014
Finding community structures in networks is important in network science, technology, and applications. To date, most algorithms that aim to find community structures only focus either on unipartite or bipartite networks. A unipartite network consists of
Chang Chang, Chao Tang
doaj   +1 more source

Motzkin numbers out of Random Domino Automaton

, 2011
Motzkin numbers are derived from a special case of Random Domino Automaton - recently proposed toy model of earthquakes. An exact solution of the set of equations describing stationary state of Random Domino Automaton in "inverse-power" case is presented.
Aigner, Białecki, Białecki, Białecki, Blythe, Czechowski, Czechowski, Czechowski, Drossel, Flajolet, Francesco, Francesco, Kearney, Malamud, Mariusz Białecki, Nakamura, Nakamura, Orlandini, Rundle, Sloane, van Rensburg, van Rensburg   +21 more
core   +1 more source

Detours around basin stability in power networks

New Journal of Physics, 2014
To analyse the relationship between stability against large perturbations and topological properties of a power transmission grid, we employ a statistical analysis of a large ensemble of synthetic power grids, looking for significant statistical ...
Paul Schultz, Jobst Heitzig, Jürgen Kurths   +2 more
doaj   +1 more source

Topological correlations and asymptotic freedom in cellular aggregates

, 2007
In random cellular systems, both observation and maximum entropy inference give a specific form to the topological pair correlation: it is bi-affine in the cells number of edges with coefficients depending on the distance between the two cells of the ...
Abd el Kader, Aboav, Avron, C. Oguey, Chiu, Delannay, Dubertret, Elias, Feng, Flyvbjerg, Fortes, Fradkov, Glazier, Godrèche, Graner, Herdtle, Le Caër, M.F. Miri, Magnasco, Martin, Mombach, Oguey, Ohlenbush, Ohlenbush, Peshkin, Rivier, Schliecker, Schliecker, Stavans, Szeto, Tewari, Weaire, Weaire   +32 more
core   +2 more sources

O(n) vector model at n=-1, -2 on random planar lattices: a direct combinatorial derivation

, 2005
The O(n) vector model with logarithmic action on a lattice of coordination 3 is related to a gas of self-avoiding loops on the lattice. This formulation allows for analytical continuation in n: critical behaviour is found in the real interval [-2,2]. The
Caracciolo, Sergio, Sportiello, Andrea
core   +1 more source

Percolation on the average and spontaneous magnetization for q-states Potts model on graph [PDF]

, 2003
We prove that the q-states Potts model on graph is spontaneously magnetized at finite temperature if and only if the graph presents percolation on the average.
A Vezzani, Aizenman M, Alexander S, Burioni R, Burioni R, Burioni R, Fortuin C M, Harari F, Holley R, Häggström O, Shinoda M, Stauffer D, Vezzani A, Wu F Y   +13 more
core   +2 more sources

Synchronous and Asynchronous Recursive Random Scale-Free Nets

, 2005
We investigate the differences between scale-free recursive nets constructed by a synchronous, deterministic updating rule (e.g., Apollonian nets), versus an asynchronous, random sequential updating rule (e.g., random Apollonian nets).
B. Chopard, Daniel ben-Avraham, Francesc Comellas, Hernan D. Rozenfeld, V. Privman   +4 more
core   +1 more source

Exactly solvable models of adaptive networks [PDF]

, 2006
A satisfiability (SAT-UNSAT) transition takes place for many optimization problems when the number of constraints, graphically represented by links between variables nodes, is brought above some threshold.
B. Bollobás, C. H. Papadimitriou, D. Staufler, J. C. Maxwell, Julien Barré, M. Mézard, Olivier Rivoire   +6 more
core   +1 more source

Border trees of complex networks

, 2007
The comprehensive characterization of the structure of complex networks is essential to understand the dynamical processes which guide their evolution.
Boas, Paulino R. Villas, Costa, Luciano da F., Rodrigues, Francisco A., Travieso, Gonzalo   +3 more
core   +1 more source