45980557
A new idea for Hamiltonian problem
5672527
Complementary cycles containing a fixed arc in diregular bipartite tournaments
Abstract Let ( x , y ) be a specified arc in a k -regular bipartite tournament B . We prove that there exists a cycle C of length four through ( x , y ) in B such that B − C is hamiltonian.
8284293
A note on list improper coloring planar graphs
A graph G is called (k, d)*-choosable if, for every list assignment L satisfying |L(v)| = k for all v ϵ V(G), there is an L-coloring of G such that each vertex of G has at most d neighbors colored with the same color as itself. In this note, we prove that every planar graph without 4-cycles and l-cycles for some l ϵ {5, 6, 7} is (3, 1)*-choosable.
15445426
An Ore-type Condition for Cyclability
A graph G is said to be cyclable if for each orientation D of G, there exists a set S(D) ?V(G) such that reversing all the arcs with one end in S results in a Hamiltonian digraph. Let G be a simple graph of even ordern? 8. In this paper, we show that if the degree sum of any two nonadjacent vertices is not less thann+ 1, then G is cyclable and the lower bound is sharp.
29686713
A note on Ramsey numbers with two parameters
The Ramsey number R(G1, G2) is the smallest integer p such that for any graph G on p vertices either G contains G1 or G- contains G2, where G- denotes the complement of G. In this paper, some new bounds with two parameters for the Ramsey number R(G1, G2), under some assumptions, are obtained. Especially, we prove that R(K6 - e, K6) ≤ 116 and R(K6 - e, K7) ≤ 202, these improve the two upper bounds for the classical Ramsey number in [S.P. Radziszowski, Small Ramsey number, Electron. J. Combin. DSI (2002) 1-36].
30370540
On (d, 2)-dominating numbers of binary undirected de Bruijn graphs
Abstract In this paper, we show that: (i) For n-dimensional undirected binary de Bruijn graphs, UB(n), n⩾4, there is a vertex x=x 1 x 1 x 1 ⋯ x 1 x 1 (x1=1 or 0) such that for any other vertex t there exist at least two internally disjoint paths of length at most n−1 between x and t in UB(n), i.e., the (n−1,2)-dominating number of UB(n) is equal to one. (ii) For n⩾5, let S={100⋯01,011⋯10}. For any other vertex t there exist at least two internally disjoint paths of length at most n−2 between t and S in UB(n), i.e., the (n−2,2)-dominating number of UB(n) is no more than 2.
29387350
Efficient and robust feature extraction by maximum margin criterion
In pattern recognition, feature extraction techniques are widely employed to reduce the dimensionality of data and to enhance the discriminatory information. Principal component analysis (PCA) and linear discriminant analysis (LDA) are the two most popular linear dimensionality reduction methods. However, PCA is not very effective for the extraction of the most discriminant features, and LDA is not stable due to the small sample size problem . In this paper, we propose some new (linear and nonlinear) feature extractors based on maximum margin criterion (MMC). Geometrically, feature extractors based on MMC maximize the (average) margin between classes after dimensionality reduction. It is shown that MMC can represent class separability better than PCA. As a connection to LDA, we may also derive LDA from MMC by incorporating some constraints. By using some other constraints, we establish a new linear feature extractor that does not suffer from the small sample size problem, which is known to cause serious stability problems for LDA. The kernelized (nonlinear) counterpart of this linear feature extractor is also established in the paper. Our extensive experiments demonstrate that the new feature extractors are effective, stable, and efficient.
1201195
Prediction of Protein Function Using Protein-Protein Interaction Data
Assigning functions to novel proteins is one of the most important problems in the post-genomic era. Several approaches have been applied to this problem, including analyzing gene expression patterns, phylogenetic profiles, protein fusions and protein-protein interactions. We develop a novel approach that applies the theory of Markov random fields to infer a protein's functions using protein-protein interaction data and the functional annotations of its interaction protein partners. For each function of interest and a protein, we predict the probability that the protein has that function using Bayesian approaches. Unlike in other available approaches for protein annotation where a protein has or does not have a function of interest, we give a probability for having the function. This probability indicates how confident we are about the prediction. We apply our method to predict cellular functions (43 categories including a category "others") for yeast proteins defined in the Yeast Proteome Database (YPD), using the protein-protein interaction data from the Munich Information Center for Protein Sequences (MIPS, http://mips.gsf.de). We show that our approach outperforms other available methods for function prediction based on protein interaction data.
16504753
Minimizing downtime in seamless migrations of mobile applications
Application migration is a key enabling technology component of mobile computing that allows rich semantics involving location awareness, trust and timeliness of information processing by moving the application where the data is. Seamlessness is one of the key properties of mobile computing and downtime must be eliminated/minimized during the migration to achieve seamlessness. But migration involves large overheads, dominant of which are the overheads due to serialization and de-serialization [1]. To achieve seamless migration, an application state could be pre-serialized during the program's execution, and upon migration, the serialized data could be transmitted and de-serialized to get the execution started. Previous approach to this problem [1] removed dead state but still suffered from large migration overheads due to serialization on-demand that could lead to an unacceptable downtime.In this work, we develop a static compiler analysis plus runtime assisted framework to decrease the migration overhead to almost zero while minimizing the degradation in the program's performance. We achieve such a goal by deciding which data to be pre-serialized through analysis, and pre-serializing the state in the program. A safe state is kept that would allow immediate migration upon the arrival of an interrupt while minimizing frequent pre-serialization. When the migration interrupt comes in, the serialized data can be transmitted directly to the destination machine. This allows an application to resume its execution at the destination machine with almost no interruption (only a small amount of non-serialized data needs to be serialized during migration). The optimization serializes the data in such a way that a maximal number of functions can execute without interruption after migration. Our experiments with multimedia applications show that the migration latency is significantly reduced leading to a small downtime. Thus, the contribution of the paper is to provide an efficient methodology to perform seamless migration while limiting the overhead.
9738891
Comparing multiple RNA secondary structures using tree comparisons
In a previous paper, an algorithm was presented for analyzing multiple RNA secondary structures utilizing a multiple string alignment algorithm. In this paper we present another approach to the problem of comparing many secondary structures by utilizing a very efficient tree-matching algorithm that will compare two trees in O([T1] X [T2] X L1 X L2) in the worst case and very close to O([T1] X [T2]) for average trees representing secondary structures. The result of the pairwise comparison algorithm is then used with a cluster algorithm to produce a multiple structure clustering which can be displayed in a taxonomy tree to show related structures.
17536436
Combining visual and automated data mining for near-real-time anomaly detection and analysis in BGP
The security of Internet routing is a major concern because attacks and errors can result in data packets not reaching their intended destination and/or falling into the wrong hands. A key step in improving routing security is to analyze and understand it. In the past, we and other researchers have presented various visual-based, statistical-based, and signature-based methods of analyzing Internet routing data.
 In this paper, we describe an integration of visual and automated data mining methods for discovering and investigating anomalies in Internet routing. We show how these different components are combined in such a way as to complement each other, creating a very effective and useful analysis tool. In addition to performing analysis on archived data, our system is able to collect, process and visualize data in near-real-time.