18081608
Covering vertices of a graph by k disjoint cycles
Abstract Let d, k and n be three integers with k⩾3, d⩾4k−1 and n ⩾3 k . We show that if d ( x )+ d ( y )⩾ d for each pair of nonadjacent vertices x and y of a graph G of order n , then G contains k vertex-disjoint cycles converting at least min{ d , n } vertices of G .
36127171
Packing Three Copies of a Tree into a Complete Graph
Abstract A three T of order n is said to be 3-placeable if there are three edge-disjoint copies of T in Kn. In this paper we characterize all the trees T such that T is 3-placeable.
9527664
Vertex-Disjoint Triangles in Claw-Free Graphs with Minimum Degree at Least Three
. Our main result is as follows: For any integer , if G is a claw-free graph of order at least and with minimum degree at least 3, then G contains k vertex-disjoint triangles unless G is of order and G belongs to a known class of graphs. We also construct a claw-free graph with minimum degree 3 on n vertices for each such that it does not contain k vertex-disjoint triangles. We put forward a conjecture on vertex-disjoint triangles in -free graphs.
12358667
On Covering a Bipartite Graph with Cycles
We conjectured in [H. Wang, Australas. J. Combin., 19 (1999), pp. 115--121] that, for each integer $k\geq 2$, there exists N(k) such that if G=(V1,V2;E) is a bipartite graph with $|V_1|=|V_2|=n\geq N(k)$ and d(x)+d(y)\geq n+k$ for each pair of nonadjacent vertices x and y of G with $x\in V_1$ and $y\in V_2$, then for any k independent edges e1, . . ., ek of G, there exist k vertex-disjoint cycles C1, . . . ,Ck in G such that $e_i\in E(C_i)$ for all $i\in\{1,\ldots ,k\}$ and $V(C_1\cup\cdots \cup C_k)=V(G)$. This conjecture is also verified for k=2 in [H. Wang, Australas. J. Combin., 19 (1999), pp. 115--121]. We prove this conjecture for k=3 in this paper.
5245849
On Independent Cycles in a Bipartite Graph
Abstract. Let G=(V1,V2;E) be a bipartite graph with 2k≤m=|V1|≤|V2|=n, where k is a positive integer. We show that if the number of edges of G is at least (2k−1)(n−1)+m, then G contains k vertex-disjoint cycles, unless e(G)=(2k−1)(n−1)+m and G belongs to a known class of graphs.
34464594
On Quadrilaterals and Cycle Covers in a Bipartite Graph
14353884
Post-pass binary adaptation for software-based speculative precomputation
Recently, a number of thread-based prefetching techniques have been proposed. These techniques aim at improving the latency of single-threaded applications by leveraging multithreading resources to perform memory prefetching via speculative prefetch threads. Software-based speculative precomputation (SSP) is one such technique, proposed for multithreaded Itanium models. SSP does not require expensive hardware support-instead it relies on the compiler to adapt binaries to perform prefetching on otherwise idle hardware thread contexts at run time. This paper presents a post-pass compilation tool for generating SSP-enhanced binaries. The tool is able to: (1) analyze a single-threaded application to generate prefetch threads; (2) identify and embed trigger points in the original binary; and (3) produce a new binary that has the prefetch threads attached. The execution of the new binary spawns the speculative prefetch threads, which are executed concurrently with the main thread. Our results indicate that for a set of pointer-intensive benchmarks, the prefetching performed by the speculative threads achieves an average of 87% speedup on an in-order processor and 5% speedup on an out-of-order processor.
8422014
Zero Assignment for Robust  $H_{2}/H_{\infty}$ Fault Detection Filter Design
In practical engineering, it is inevitable that a system is perturbed by noise signals. Unfortunately, H infin /H infin filtering may fail to detect some faults when the noise distribution matrix are the same as the fault distribution matrix. In this paper, it is shown that the dynamic feedback gain of a dynamic filter introduces additional zeros to the filter, and both the filter poles and the additional zeros can be assigned arbitrarily. In order to attenuate band-limited noises, the zero assignment technique is used, and an optimal dynamic fault detection filtering approach is proposed by locating the zeros to the noise frequencies and optimizing the poles. Compared to other dynamic filter design approaches, the zero assignment technique gives a better tradeoff between more design freedom and computation costs. As shown in the simulation, a better noise attenuation and fault detection performance have been obtained. The zero assignment in multivariable fault detection filter design would be the main contribution of this paper.
12822581
A Reliability Model for Result Checking in Volunteer Computing
Large scale volunteer computing has been proved to be an efficient mechanism to solve the complicated problems. Specifically, in such a system, thousands of idle computers on the network are organized to finish a series of tasks dispatched by a central server. However, this computing model is vulnerable to attack from malicious peers returning incorrect results, since it is impossible to check each of thousands of the results. To address this problem, we propose a scheme to evaluate the reliability of each peer, and hence to distinguish whether the peer is honest or malicious. Specifically, the task dispatching pattern is changed so that the results returned from a peer can reflect the type of this peer. We focus on a typical dispatching pattern, and analyze its performance both theoretically and experimentally. The results indicate that the proposed scheme can effectively differentiate the malicious peers for most of the reasonable situations.
36856889
Prime Cube Graph Approach for Processor Allocation in Hypercube Multiprocessors
29063745
A New Graph Approach to Minimizing Processor Fragmentation in Hypercube Multiprocessors
The authors propose a new approach for subcube and noncubic processor allocations for hypercube multiprocessors. The main idea is to represent available processors in the system by means of a prime cube graph (PC-graph). The PC-graph maintains the inter-relationships between free subcubes and hence reduces both internal and external processor fragmentations. Their simulation results show that the PC-graph approach outperforms the existing allocation strategies by 25% to 50% under certain load conditions. >