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31. Based on the graph theory model, the formula of freedom to calculate the new circle epicyclic gear trains is deduced.

32. An image segmentation approach based on watershed translation and graph theory is proposed.

33. Based on the graph theory, a graph representation is proposed to represent the kinematic structure of the differential steering efficiently.

34. One algorithm, isoperimetric algorithm based on graph theory is applied and researched on image segmentation.

35. Graph coloring problem is a classic difficult problem of graph theory. It is a fundamental problem in scientific computation and engineering design.

36. Proposed half edge graph theory, half edge belongs to vertex, a couple of half edges could assemble one edge.

37. In the paper, based on hyper graph theory, a hypergraph model is proposed, which is useful for spatial data mining .

38. A new method, based on the matrix signal flow graph theory, for formulating the Hybrid parameter matrix of Linear N-port network is presented in this paper.

39. The paper introduced two kinds of graph theory algorithm which is suitable to select other nodes and estimate relating path in actual system on basis of finding out shortest path of node.

40. Utilizing the shortest path algorithm in Graph Theory to search functional dimension chains automatically in the assembly model and ascertain the functional dimensions of the part.

41. HMO characteristic polynomial and select eigenvalues for many heterocyclic benzenoids are calculated by using chemical graph theory methods.

42. At the same time , the Optimazition Problem in Graph Theory became the focus of research nowadays.

43. On the basis of PCA, the classification of areal is given by means of group-average method, nearest-neigbour method and furthest-neighbour method in system clustering and fuzzy graph theory method.

44. The coloring problem is always important problem in graph theory. In the discrete mathematics and combinatorial analysis, the coloring problem has a wide range of applications.

45. Applications of GL to graph theory are also presented and satisfactory results are obtained.

46. Most of the definitions and concepts in graph theory are suggested by the graphical representation.

47. This paper presents the modeling process of the key covering problem(KCP) in the group rekeying and the transformations between the KCP and the vertex covering problem(VCP) in the graph theory.

48. Secondly, the notation of state graph of networks is presented[sentencedict.com], and the stability of the networks is studied by using the method of graph theory.

49. Based on duality theory of linear programming and graph theory, it is proved that the matching game defined on a bipartite graph has the stable core if and only if the graph has a perfect matching.

50. A new algorithm based on graph theory is presented in this article to solve the problem of task scheduling in a multiprocessor system.

51. The theory involved takes its reference from the Matching of Bipartite Graph theory.

52. Associating Graph Theory innovatively, we abstract use case and sequence diagram and define coverage criteria to generate test cases in our test case generation scheme.

53. It mainly introduces basic concepts and basic methods in logic, set theory, algebraic system and graph theory.

53. Sentencedict.com try its best to gather and create good sentences.

54. This paper discusses the application of degree in other aspects of graph theory, such as cycle, Hamiltonian graph and matching on the base of reference.

55. Described a modular design procedure of reconfigurable machine, based on screw theory and graph theory.

56. The illustrates mathematical model and its natures, demonstrates the graph theory methods for mathematical model.

57. Two algorithms, graph cut and random walk based on graph theory, were applied to motion segmentation.

58. Maximum flow problem is a close connection between graph theory and operations research, in particular with the linear programming, which has opened up new ways in graph theory application.

59. The graph theory is also applied to preliminary research on the number synthesis of the epicyclic gear trains.

60. These concepts will prove to be quite useful in our subsequent work in graph theory.