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In Chapter 2,we prove that:(1)each planar graph without {4,6,7,9}-cycles is 3-colorable;(2)each planar graph without {4,6,8}-cycles is 3-colorable.

在第二章中,我们证明了以下两个结果:(1)每个不包含{4,6,7,9}-圈的平面图是3-可染色的;(2)每个不包含{4,6,8}-圈的平面图是3-可染色的。

In Chapter 2, we show that Xi 3 for all planar graphs of girth not less than 4 which contains no 5- and 6-circuits or contains no 7- and 8-circuits or contains no 8- and 9-circuits, we also show that Xi 3 for each planar graph of girth not less than 4 which contains no 6-, 7- and 9-circuits.

在第二章,论文证明了每个围长至少为4且不含5-圈和6-圈或7-圈和8-圈或8-圈和9-圈的平面图是3-可选色的。同时还证明了每个围长至少为4且不含6-圈,7-圈和9-圈的平面图是3-可选色的。

In Chapter 3,we obtain that:(1)each planar graph without 4-cycles is acyclically 6-choosable;(2)each planar graph without 4-cycles and without triangles at dis-tance less than 3 is acyclically 5-choosable.

在第三章中,我们获得了以下两个结果:(1)每个不包含4-圈的平面图是无圈6-可选择的;(2)每个不包含4-圈并且任意两个三角形之间的距离至少是3的平面图是无圈5-可选择的。

Used the way of discharging to prove that every planar graph without 4-cycles and i-cycles for some i ∈{5,6,7} is (3, l)*-choosable, when they studied the list improper colorings of plane graphs.

72在研究平面图的列表非正常染色时,结合欧拉公式用放电的方法证明了每个不含4-圈和i-圈的平面图是(3,1)~*-可选的,其中i∈{5,6,7}。

In section four,we will study the star-edge coloring of maximal outer plane graph and maximal plane graph,and bound their star chromatic index.

第四节研究了极大外平面图和极大平面图的星边染色,并界定了它们的星边色数。

We also get another expression of Steinberg's conjecture about plane graphs, that is, every plane graph without i(4≤i≤5) faces in which any two triangles have distance at least 3 and no 3-face is adjacent to any 6-faces is 3-colorable.

我们还得到平面图的一个类似结论:没有4、5面的平面图中如果任意两个3圈的距离至少为3,而且没有3面和6面相邻,那么这个图也是可以3色的。

We also get another expression of Steinbergs conjecture about plane graphs, that is, every plane graph without i(4≤i≤5) faces in which any two triangles have distance at least 3 and no 3-face is adjacent to any 6-faces is 3-colorable.

我们还得到平面图的一个类似结论:没有4、5面的平面图中如果任意两个3圈的距离至少为3,而且没有3面和6面相邻,那么这个图也是可以3色的。

Herein we give the transfer rule for an equivalent circuit including Warburg impedance as follows: for ...

应用此规则,可以将在一个复数平面图上的研究结果直接用到另一个复数平面图上,因此,变换规则是一种颇为有用的电化学交流阻抗研究的手段。

We apply the results in Chapter 2 to the equitable list coloring of graphs and prove that a graph G is equitably △-choosable if G is a plane graph without i-cycles, 3 ≤ i ≤ 5, or a plane graph without 4-cycles(or 5-cycles) and 6-cycles.

从而得出不含3-圈,4-圈和5-圈的平面图和不含4-圈(或5-圈)和6-圈的平面图GΔ(G≥6均有一个Δ-均匀列表染色。

Design construction projects the main programming: the preparation of engineering design submissions Hospital Hospital project plan The total partition function of the Hospital Clinic at the walls between the structural engineering plans and details Hospital System Low Voltage Electrical Power Supply + Design Engineering IT system partition Fig T power of medical electrical equipment isolation hospital settings engineering drawings special UV lighting socket and weak institutional arrangements security system installations and lines of fire engineering drawings hospital integrated security access control system engineering drawings positive pressure medical oxygen delivery device engineering drawings HVAC heating ventilation and clean equipment UF works to the drainage and septic tanks Automatic disinfection equipment engineering drawings Hospital surgery, X-ray radiology, ICU, POD clean room design details of the Department of the hospital interior decoration Engineering Graphics Anti-X-ray radiation room, toilet, water tank waterproofing compound - the hospital doors and windows - out-patient cases, such as Taiwan, the design of the node map hospital project cost book.

建设项目设计图主编程:编制医院工程技术设计意见书医院工程功能分区总平面图医院诊室分间平面图和墙身结构工程详图医院低压电气系统图+隔离电源IT系统分区设计工程图医疗电器设备T电源隔离设置工程图医院照明插座和特殊UV机构设置弱电系统装置及线路设防工程图医院消防接控系统综合设防工程图医疗氧气正压配送装置工程图暖通热力通风和UF洁净设备工程图给排水和化粪池自动化消毒设备工程图医院手术、X光放射、ICU、POD部室洁净设计详图医院室内装饰装修工程图防X线辐射房间、卫生间、积水池复合防水-医院门窗-门诊台案等设计节点图医院工程造价书。

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