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112.
Vladimir P. Korzhik 《Discrete Mathematics》1998,190(1-3):149-162
The author has proposed methods of constructing index 2 and 3 current graphs generating triangular embeddings of graphs Kn−Km with unboundedly large m (as n increases). As a result, triangular embeddings of graphs of many families of graphs Kn−Km with unboundedly large m were constructed. The paper gives a survey of these results and a short explanation of the methods. 相似文献
113.
An interval-parameter fuzzy linear programming method (IFMOLP) is proposed in this study for multiple objective decision-making
under uncertainty. As a hybrid of interval-parameter and fuzzy methodologies, the IFMOLP incorporates interval-parameter linear
programming and fuzzy multiobjective programming approaches to form an integrated optimization system. The method inherits
advantages of interval-parameter programming, and allows uncertainties and decision-makers’ aspirations to be effectively
communicated into its programming processes and resulting solutions. Membership functions for both objectives and constraints
are formulated to reflect uncertainties in different system components and their interrelationships. An interactive solution
procedure has been developed based on solution approaches of the interval-parameter and fuzzy programming techniques, plus
necessary measures for handling the multiobjective feature. A didactic example is provided in the paper to illustrate the
detailed solution process. Possibilities of further improvements by seeking Pareto optimum and incorporating flexible preference
within constraints are also discussed. 相似文献
114.
115.
李相文 《数学物理学报(B辑英文版)》1998,(2)
1IntroductionWeuseBondyandMurtyl3]forterminologyand..ta'ti..notdefinedhereandconsidersimpleconnectedgraphsonly.AcircuitCofagraphGisanontrivialconnectedeuleriansubgraphofG.Aspanningcircuit,orbrieflyS-circuit,ofagraphGisacircuitthatcontainsallvenicesofG.AdominatingcircuitorD-circuitofGisacircuitsuchthateveryedgeofGisincidentwithatleastonevertexofthecircuit.AgraphofordernispancyclicifitcontainsallcyclesoflengthIfor3515n.IfCisacircuitofG,thenP(C)denotesthenumberOfedgesofGincidentwithatleas… 相似文献
116.
117.
We are interested in improving the Varshamov bound for finite values of length n and minimum distance d. We employ a counting lemma to this end which we find particularly useful in relation to Varshamov graphs. Since a Varshamov
graph consists of components corresponding to low weight vectors in the cosets of a code it is a useful tool when trying to
improve the estimates involved in the Varshamov bound. We consider how the graph can be iteratively constructed and using
our observations are able to achieve a reduction in the over-counting which occurs. This tightens the lower bound for any
choice of parameters n, k, d or q and is not dependent on information such as the weight distribution of a code.
This work is taken from the author’s thesis [10] 相似文献
118.
Book embedding of graphs is one of the graph layout problem. It is useful for the multiprocessor network layout or the fault-tolerant processor arrays. We show that the trivalent Cayley graphs proposed by Vadapalli and Srimani can be embedded in five pages, and show some additional results on cube-connected cycles. 相似文献
119.
一个图G的全色数χT(G)是使得V(G)∪E(G)中相邻或相关联元素均染不同颜色的最少颜色数.文中证明了,若图G只有唯一的一个4度最大度点,则χT(G)=Δ(G)+1. 相似文献
120.
For structural parameters with uncertainties, interval mathematics can, in the case where the probabilistic distribution density
of uncertain variables is unavailable, deal with the influence of uncertainties in structural parameters on the response of
structures. In order to evaluate the region containing natural frequencies of structures with interval parameters, the interval
parameter perturbation method is presented in this paper. The advantage of the present method is its computational efficiency
in evaluating the region containing natural frequencies. A numerical example is used to illustrate the efficiency of the method
proposed.
The project is supported by National Youth Natural Science Foundation of China and National Outstanding Youth Science Foundation
of China. 相似文献