Title :
Characters of Maximal Non-Hamilton Graph
Author :
Hou, Aimin ; Qu, Chao ; Hao, Zhifeng
Author_Institution :
Sch. of Comput., Dongguan Univ. of Technol., Dongguan, China
Abstract :
Non-Hamiltonian graph is featured by the degree sequence that fails to meet the Chvátal condition. By analyzing this feature, a new function of the edge bound for non-Hamiltonian graph is proposed in this paper. The maximum number of edges in maximal non-Hamiltonian graph is derived from this function with mathematical analysis for extreme values, which not only implies the characters of maximal non-Hamilton graph, but also improves the Erdös condition with a better threshold.
Keywords :
graph theory; mathematical analysis; Chvátal condition; Erdös condition; extreme values; mathematical analysis; maximal nonHamilton graph; Chaos; Computer science; Computers; Educational institutions; Graph theory; Mathematical analysis; Sufficient conditions; Chv´tal condition; Erdös condition; function of the edge bound; maximal non-Hamiltonian graph;
Conference_Titel :
Computer Science & Service System (CSSS), 2012 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4673-0721-5
DOI :
10.1109/CSSS.2012.579
