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• The fractional incidence chromatic number is defined.

定义图的分数关联

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• Chromatic number and fractional chromatic number are two important parameters of a graph.

分式点色两个重要参数

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• In this paper, we give a tree with more simple structure whose relaxed game chromatic number is equal to the maximum of the game chromatic number of forests.

给出放松对策能够达到放松对策最大值结构非常简单

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• The adjacent vertex distinguishing total chromatic number is obtained for the flower graph .

得到可区别全色

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• In this paper the entire chromatic number of maximal outer planar graph G with △ (G)<6 are obtained, where △(G) denote maximal degree of G.

本文给出了△（G）＜6极大平面图面金色其中△（G表示G大度

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• The adjacent vertex distinguishing total chromatic number is obtained for the middle graphs of path, cycle, star and fan graph.

本文考虑中间区别全色确定了星图中间的邻区别全色数

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• In this paper, we obtain a quality of caterpillars and an explicit formula for the equitable chromatic number of caterpillars.

得到毛虫树一个性质计算毛虫树的均匀一个精确计算公式

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• Proxy 140, chromatic number 3, every proxy average connected line number is different. See the experimental datum in Table 1.

代理数1403每个代理平均连接不同实验数据1

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• The minimum number of colors required for an adjacent vertex-distinguishing total coloring of a simple graph G is called the adjacent vertex-distinguishing total chromatic number, denoted by xat(G).

一个正常染色相邻顶点集不同时，称之为区别染色区别染色所用颜色最小称为邻区别全色

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• In this paper, we obtain the game chromatic number and relaxed game chromatic number of wheel and fan.

讨论了图的对策着色放松对策着色给出对策放松对策

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• Adjacent strong edge chromatic number.

相邻着色

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• With this characterization, the bandwidth, topological bandwidth and the path chromatic number for unit interval graphs are determined.

并由刻划确定单位区间带宽拓扑带宽

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• Meanwhile, when chromatic number is 4, and proxy is 140, and line number ias at least 2, and the graph is much complex, there is still 1-2 collision.

并且4即使代理140至少两条图形结构较为复杂情况下，只有1~2个冲突

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• The strong edge coloring of graphs comes from computer science and has a very strong practical background, but it is very difficult to determine its strong chromatic number for any graphs.

染色来自计算机科学有着很强实际背景确定非常困难的。

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• The upper bound of conditional chromatic number of graphs and the graphs satisfying this bound are obtained.

得到条件上界达到上界类。

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• The edge chromatic number of join graph with fan and complete balanced bipartite graph was obtained.

得到完全等二部图联

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• One of graph edge coloring and graph total coloring problem, as well as whole graph chromatic number problem can be converted to graph vertex coloring to deal with problem.

其中着色着色问题以及问题可以转化顶点着色问题进行处理

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• In the sixth part, the probability estimates of vertex-adjacent vertex distinguishing total chromatic number of some graphs are discussed.

第六部分讨论可区别全色概率方法估计

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• In this paper a estimate of the harmonious chromatic number of a complete 5-ary tree was given.

本文给出完全调和着色比较好的估计

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• The circular chromatic number and the fractional chromatic number are two generalizations of the ordinary chromatic number of a graph.

分式点色两个推广

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• In this paper, Euler's formula and Handshaking lemma is used to obtain the face chromatic number of a planar graph by solving equations.

本文前人研究着色问题基础上，运用欧拉公式握手定理通过方程组得到连通平面图面色

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• Besides, it concretely analysized the calculation of face chromatic number of plan view on the surface of the sphere and the ring , and promoted the application of equations.

具体分析球面面上平面图面色计算方程组应用进行推广

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• The concept of half-star chromatic number is given by studying a singal assignment problem with constraint conditions, and the optimal assignment problem of singal is also solved in this paper.

本文通过引入属度非被支配等新概念，利用备对象目标特征值部分权重信息，解决普遍存在目标优化问题给出确定最对象的最少信息。

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• We also investigate chromatic polymial of graph by its cyclomatie number, and verify unimodality of chromatic polymial of some graph.

我们考察多项式，验证某些多项式单峰性

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• A sufficient condition for the special circulation graphs whose starchromatic number is equal to it's fractional chromatic is given.

给出循环的星等于分数一个充分条件

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• We will also find a sort of planar graphs whose number is equal to 4. We will also give the chromatic polynomial of complete -partite graphs and get a combinatory formula.

最后染色方法进行了研究，利用组合方法求出完全颜色多项式得到了一个组合公式

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• The chromatic index χ′(G) of a graph G is the minimum number of colors required to color the edges of G so that two adjacent edges receive different colors.

边色进行染色使得任意相邻不同颜色需要最少

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