检索规则说明:AND代表“并且”;OR代表“或者”;NOT代表“不包含”;(注意必须大写,运算符两边需空一格)
检 索 范 例 :范例一: (K=图书馆学 OR K=情报学) AND A=范并思 范例二:J=计算机应用与软件 AND (U=C++ OR U=Basic) NOT M=Visual
机构地区:[1]Department of Mathematics,Beijing Institute of Technology,Beijing 100081,China [2]Department of Mathematics,Jiangxi Normal University,Nanchang 330022,China
出 处:《Applied Mathematics(A Journal of Chinese Universities)》2012年第2期234-242,共9页高校应用数学学报(英文版)(B辑)
基 金:Supported by the National Natural Science Foundation of China(11071016 and 11171129);the Beijing Natural Science Foundation(1102015)
摘 要: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 the single k-cycle property if every edge of G,which does not lie in a triangle,lies in a cycle C of order at most k such that C has at least「|V(C) /2」 edges which do not lie in a triangle,and they are not adjacent.In this paper,we show that every hourglass-free claw-free graph G of δ(G) ≥3 with the single 7-cycle property is Hamiltonian and is best possible;we also show that every claw-free graph G of δ(G) ≥3 with the hourglass property and with single 6-cycle property is Hamiltonian.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 the single k-cycle property if every edge of G,which does not lie in a triangle,lies in a cycle C of order at most k such that C has at least「|V(C) /2」 edges which do not lie in a triangle,and they are not adjacent.In this paper,we show that every hourglass-free claw-free graph G of δ(G) ≥3 with the single 7-cycle property is Hamiltonian and is best possible;we also show that every claw-free graph G of δ(G) ≥3 with the hourglass property and with single 6-cycle property is Hamiltonian.
关 键 词:claw-free graph HAMILTONIAN CLOSURE the hourglass property the single k-cycle property.
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在链接到云南高校图书馆文献保障联盟下载...
云南高校图书馆联盟文献共享服务平台 版权所有©
您的IP:216.73.216.222