1. Graph coloring is an important branch of graph theory.

2. This paper has introduced how to use the graph theory method to calculate the sectorial coordinate of the variable cross-section box girder.

3. Graph theory has around 300 years of history, but many problems haven't been solved.

4. The graph theory method for solving the electric net problem is suggested, which can be used in the graph theory model for epicyclic gear trains research.

5. There are three important graph polynomials in graph theory, they have a close relationship with each other: chromatic polynomial, Tutte polynomial and flow polynomial.

6. Half edge graph theory can represent complex structure and various constraint accurately.

7. Using graph theory, an achievable region of the uniquely decodable codes for the 3-user 2N-frequency noiseless multiple-access channel with intensity information is obtained.

8. As a very important decision algorithm in graph theory, the optimization of the algorithm of depth first search tree will give an advantage to dealing with algorithm of other graph theory efficiently.

9. Graph theory methods have great importance in the field of prediction of protein structure.

10. Maze problem is a classical problem in graph theory and other fields.

11. Knowledge graph theory is a new method of knowledge representation.

12. Embedding theory is a central subject in topological graph theory.

13. Some theories of operations research, such as Graph Theory, double sweep algorithm, and Queuing Theory, and their applications in the configuration design of RMS are addressed.

14. Application of graph theory in numerical classification of Sagittaria in China.

15. The paper uses the graph theory and enterprise modeling technology to interpret the Matching Theory.

16. A description was carried out on the complicated epicyclic gear train by adopting the functional schematic diagram and the knowledge of graph theory.

17. As a mathematic branch studying the graphical composite relation and fabric, the graph theory can be expediently used in solving graphical problems with computer algorithm.

18. This paper presents a brand new and complete discussion on the definitions and methods of strategy space iteration for nonscheduled multi stage decision by means of graph theory.

19. Therefore, fault diagnosis is very important, and a good algorithm is a key to the fault diagnosis. In this paper, an algorithm of fault location is put forward based on the graph theory, and th...

20. The methods are based on burst machinism of pipeline, which are depended on Fuzzy graph theory. Finally, this paper gives an application example for Tianjin network of...

21. The maximum flow problem is a focus of the studies about graph theory, operational research, optimization theory.

22. This leads us to another contribution of Leonhard Euler to graph theory, namely Euler's polyhedron theorem or simply Euler's formula.

23. To automatically search key vertexes of train flow lines in a train flow diagram, its components and characteristics were analyzed based on graph theory.

23. is a sentence dictionary, on which you can find good sentences for a large number of words.

24. As for the synthesis problem of distillation separation sequences, the method of graph theory is applied to study network superstructure.

25. Line graph plays an important role in the study of spectral graph theory. By using the operator generalized line graphs on some integral graphs, a series of infinite integral graphs is constructed.

26. An expression among the data nodes, storage nodes and query nodes is set up and proved via bipartite graph theory, which is directive in wireless sensor network with limited energy efficiency.

27. Based on the characteristics of molecular structure, the relationship between heat of combustion, heat of formation of aliphatic ketone and its molecular structure is studied with the graph theory.

28. Large networks attack can be researched base on the graph theory, because the character of its network connect and route of spread is related closely to weighted and oriented graph.

29. Most of the two-dimensional models that manage topology are based on the planar graph theory.

30. This paper gives a topological method for calculating the sensitivity by means of signal flow graph theory.

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, 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. 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.

61. Sheet forging parts have been sorted based on feature model reconstruction with representation of graph theory.

62. Graph Theory was adapted to validation checking of action sequence. The algorithm was described in detail and related code was presented.

63. The study of minimum genus of a graph is a major theme of topological graph theory and is NP-hard.

64. An expression and analysis method based graph theory for complex fixed axis gear trains was proposed.

65. After the identification of oscillation center, a dynamic splitting scheme based graph theory is realized.

66. There are two fields in topological graph theory: one is the study of the properties of graph embedding.

67. The complicated structure of the epicyclical gear train with multidegrees of freedom and planet carriers could he predigested into the topological graph by adopting the knowledge of graph theory.

68. Graph theory is a jumped-up subject which develops very rapidly in recent years and is applied extensively.

69. We deem it suitable to apply fuzzy graph theory to the classification of vegetation.

70. So in this paper graph representation based on graph theory is used to represent the transmission ratio.

71. Considering complicated variables of boiler feedwater pump system, its graph models are established based graph theory.

72. First, the deadlock problem and its graph theory representation is introduced. Then based on the effective genetic algorithm (GA) search method, the graph theory is introduced to assure deadlock-free.

73. Secondly, based on the graph theory, the network is modeled as an undirected graph G (V , E ), and the rule of trust evaluation is defined by the aid of local information interaction.

74. The complicated structure of the epicyclical gear train with multidegrees of freedom and planet carriers could be predigested into the topological graph by adopting the knowledge of graph theory.

75. SAP matrix graph theory algorithm for getting the basic idea is to map shortest path problem.

75. is a sentence dictionary, on which you can find good sentences for a large number of words.

76. Using graph theory of adjacency matrix as a conversion, a depth-first search to the entire map, can be cut at all possible paths.

77. Team work is actually needed in such multi - discipline chemical graph theory.

78. In this article, we introduce maximal connected subgraphs, maximal clique and perfect match of graph theory in biology especially in the study of protein structure research applications.

79. In the last, the paper designs and analyses the Graph Theory algorithm and drives a conclusion that the problem of the arranging of curriculum schedule is NP- hard problem.

80. The Bond - space theory is the development of the bond graph theory of system dynamics.

81. The matrix equation of the sectorial coordinate has been deduced by making use of the graph theory and energy principle after creating the graph model of the box girder section.

82. The identification of graphs'isomorphism is one of the basic problems in graph theory.

83. This paper also designs the computerized critical path algorithm and the network graph drawing algorithm based on the graph theory and project management technique.