@book{312d5c16a8dc40d4b20d2619b0dbc96e,

title = "On stability of the Hamiltonian index under contractions and closures",

abstract = "The hamiltonian index of a graph $G$ is the smallest integer $k$ such that the $k$-th iterated line graph of $G$ is hamiltonian. We first show that, with one exceptional case, adding an edge to a graph cannot increase its hamiltonian index. We use this result to prove that neither the contraction of an $A_G(F)$-contractible subgraph $F$ of a graph $G$ nor the closure operation performed on $G$ (if $G$ is claw-free) affects the value of the hamiltonian index of a graph $G$.",

keywords = "MSC-05C45, IR-65809, EWI-3442, MSC-05C35",

author = "L. Xiong and Z. Ryj{\'a}{\v c}ek and Broersma, {Haitze J.}",

year = "2002",

language = "Undefined",

series = "Memorandum",

publisher = "University of Twente, Department of Applied Mathematics",

number = "1622",

}