国家自然科学基金(11171129)

作品数：6被引量：8H指数：2
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Saturation Number for Linear Forest 2P3∪tP2
《Wuhan University Journal of Natural Sciences》2019年第4期283-289,共7页LIU Min HU Zhiquan 
Supported by the National Natural Science Foundation of China(11071096,11171129);the Natural Science Foundation of Hubei Province(2016CFB146);Research Foundation of College of Economics,Northwest University of Political Science and Law(19XYKY07)
For a fixed graph F,a graph G is F-saturated if it has no F as a subgraph,but does contain F after the addition of any new edge.The saturation number,sat(n,F),is the minimum number of edges of a graph in the set of al...
关键词：SATURATION NUMBER saturated GRAPH LINEAR FOREST 
Even factors with a bounded number of components in iterated line graphs
《Science China Mathematics》2017年第1期177-188,共12页LV ShengMei XIONG LiMing 
supported by National Natural Science Foundation of China (Grant Nos. 11471037 and 11171129);Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20131101110048)
We consider even factors with a bounded number of components in the n-times iterated line graphs L^n(G). We present a characterization of a simple graph G such that L^n(G) has an even factor with at most k components,...
关键词：even factor iterated line graph branch closure claw-free graph 
VERTEX-FAULT-TOLERANT CYCLES EMBEDDING ON ENHANCED HYPERCUBE NETWORKS被引量：1
《Acta Mathematica Scientia》2013年第6期1579-1588,共10页张艳娟 刘红美 刘敏 
supported by NSFC(11071096 and 11171129);Hubei Province,China(T201103)
In this paper, we study the enhanced hypercube, an attractive variant of the hypercube and obtained by adding some complementary edges from a hypercube, and focus on cycles embedding on the enhanced hypercube with fau...
关键词：enhanced hypercube fault tolerance cycles embedding 
PATHS AND CYCLES EMBEDDING ON FAULTY ENHANCED HYPERCUBE NETWORKS被引量：6
《Acta Mathematica Scientia》2013年第1期227-246,共20页刘敏 刘红美 
supported by NSFC (11071096, 11171129);NSF of Hubei Province, China (T201103)
Let Qn,k （n 〉 3, 1 〈 k ≤ n - 1） be an n-dimensional enhanced hypercube which is an attractive variant of the hypercube and can be obtained by adding some complementary edges, fv and fe be the numbers of faulty ve...
关键词：enhanced hypercube fault-tolerant embedding paths embedding cycles em-bedding Hamiltonian-laceability 
Some Structural Properties of 2-Walk (a, b)-Linear Graphs
《Wuhan University Journal of Natural Sciences》2012年第5期457-460,共4页FAN Qiong QI Huan 
Supported by the National Natural Science Foundation of China(11171129)
A graph has exactly two main eigenvalues if and only if it is a 2-walk linear graph. In this paper, we show some structural properties that a 2-walk （a, b）-linear graph holds. According to these properties, we can e...
关键词：main eigenvalues 2-walk linear graph PATH CYCLE 
On hamiltonicity of 2-connected claw-free graphs被引量：2
《Applied Mathematics(A Journal of Chinese Universities)》2012年第2期234-242,共9页TIAN Run-li XIONG Li-ming 
Supported by the National Natural Science Foundation of China(11071016 and 11171129);the Beijing Natural Science Foundation(1102015)
A graph G has the hourglass property if every induced hourglass S（a tree with a degree sequence 22224） contains two non-adjacent vertices which have a common neighbor in G-V（S）.For an integer k≥4,a graph G has th...
关键词：claw-free graph HAMILTONIAN CLOSURE the hourglass property the single k-cycle property. 
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