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Hamiltonian Properties of Generalized Halin Graphs

Published online by Cambridge University Press:  20 November 2018

Shabnam Malik ,
Ahmad Mahmood Qureshi  and
Tudor Zamfirescu
Shabnam Malik
Affiliation:
Abdus Salam School of Mathematical Sciences, GC University, 68-B, New Muslim Town, Lahore, Pakistan e-mail: shabnam.malik@gmail.comsirahmad@gmail.com
Ahmad Mahmood Qureshi
Affiliation:
Abdus Salam School of Mathematical Sciences, GC University, 68-B, New Muslim Town, Lahore, Pakistan e-mail: shabnam.malik@gmail.comsirahmad@gmail.com
Tudor Zamfirescu
Affiliation:
Faculty of Mathematics, University of Dortmund, 44221 Dortmund, Germany, and , Institute of Mathematics, Romanian Academy, Bucharest, Romania e-mail: tzamfirescu@yahoo.com
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Abstract

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A Halin graph is a graph $H\,=\,T\,\cup \,C$, where $T$ is a tree with no vertex of degree two, and $C$ is a cycle connecting the end-vertices of $T$ in the cyclic order determined by a plane embedding of $T$. In this paper, we define classes of generalized Halin graphs, called $k$-Halin graphs, and investigate their Hamiltonian properties.

Keywords

05C4505C38k-Halin GraphHamiltonianHamiltonian connectedtraceable
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 3 , 01 September 2009 , pp. 416 - 423
Copyright
Copyright © Canadian Mathematical Society 2009

References

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