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A SEQUENTIAL IMPORTANCE SAMPLING ALGORITHM FOR GENERATING RANDOM GRAPHS WITH PRESCRIBED DEGREES。
RANDOM GRAPHS WITH A GIVEN DEGREE SEQUENCE     Random graph  sequence       font style='font-size:12px;'> 2015/7/7
RANDOM GRAPHS WITH A GIVEN DEGREE SEQUENCE。
Dissipation Inequalities for Distributed Systems on Graphs     Graphs  Distributed Systems       font style='font-size:12px;'> 2015/6/19
This paper considers linear dynamic systems with an interconnection structure specified by a directed graph. We formulate linear matrix inequalities for computation of performance of the system based ...
Control of Distributed Discrete-Time Systems on Graphs     Graphs  Discrete-Time Systems       font style='font-size:12px;'> 2015/6/19
This paper considers linear time-invariant dynamic systems with an interconnection structure specified by a directed graph. We formulate a semidefinite program for system analysis and controller synth...
SPECTRUM OF THE 1-LAPLACIAN AND CHEEGER'S CONSTANT ON GRAPHS     THE 1-LAPLACIAN  GRAPHS       font style='font-size:12px;'> 2014/9/26
We develop a nonlinear spectral graph theory, in which the Laplace operator is replaced by the 1 Laplacian ∆1 . The eigenvalue problem is to solve a nonlinear system, involving a set valued f...
We consider sparse random intersection graphs with the property that the clustering coefficient does not vanish as the number of nodes tends to infinity. We find explicit asymptotic expressions for th...
Higher connectivity of fiber graphs of Grobner bases     Higher connectivity  fiber graphs  Grobner bases       font style='font-size:12px;'> 2012/11/23
Fiber graphs of Gr\"obner bases from contingency tables are important in statistical hypothesis testing, where one studies random walks on these graphs using the Metropolis-Hastings algorithm. The con...
Graphical models are popular statistical tools which are used to represent dependent or causal complex systems. Statistically equivalent causal or directed graphical models are said to belong to a Mar...
Link Prediction in Graphs with Autoregressive Features     Autoregressive Features  Link Prediction  Graphs       font style='font-size:12px;'> 2012/11/22
In the paper, we consider the problem of link prediction in time-evolving graphs. We assume that certain graph features, such as the node degree, follow a vector autoregressive (VAR) model and we prop...
This paper describes an efficient EM algorithm for maximum likelihood estimation of a system of nonlinear structural equations corresponding to a directed acyclic graph model that can contain an arbit...
For a given multigraph H, a graph G is H-linked, if |G| \geq |H| and for every injective map {\tau}: V (H) \rightarrow V (G), we can find internally disjoint paths in G, such that every edge from uv i...
In 1989, Lescure and Meyniel proved, for $d=5, 6$, that every $d$-chromatic graph contains an immersion of $K_d$, and in 2003 Abu-Khzam and Langston conjectured that this holds for all $d$. In 2010, D...
We present a new approach to the theory of k-forms on self-similar fractals. We work out the details for two examples, the standard Sierpinski gasket and the 3-dimensional Sierpinski gasket, but the m...
Coloring claw-free graphs with Δ-1 colors     Coloring claw-free graphs  Combinatorics       font style='font-size:12px;'> 2012/6/25
We prove that every claw-free graph $G$ that doesn't contain a clique on $\Delta(G) \geq 9$ vertices can be $\Delta(G) - 1$ colored.
This is the the first of a series of papers considering properties of quantum systems over 2D graphs or manifolds, with continuous spins. In the model considered here the phase space of a single spin ...

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