Best monotone degree conditions for binding number and cycle structure

D. Bauer; A. Nevo; E. Schmeichel; D. R. Woodall; M. Yatauro

doi:10.1016/j.dam.2013.12.014

Best monotone degree conditions for binding number and cycle structure

D. Bauer
, A. Nevo
, E. Schmeichel
, D. R. Woodall
, M. Yatauro

Penn State Brandywine

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Woodall has shown that every 3/2-binding graph is hamiltonian. In this paper, we consider best monotone degree conditions for a b-binding graph to be hamiltonian, for 1≤b<3/2. We first establish such a condition for b=1. We then give a best monotone degree condition for a b-binding graph to be 1-tough, for 1<<3/2, and conjecture that this condition is also the best monotone degree condition for a b-binding graph to be hamiltonian, for 1<<3/2.

Original language	English (US)
Pages (from-to)	8-17
Number of pages	10
Journal	Discrete Applied Mathematics
Volume	195
DOIs	https://doi.org/10.1016/j.dam.2013.12.014
State	Published - Nov 20 2015

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1016/j.dam.2013.12.014

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abstract = "Woodall has shown that every 3/2-binding graph is hamiltonian. In this paper, we consider best monotone degree conditions for a b-binding graph to be hamiltonian, for 1≤b<3/2. We first establish such a condition for b=1. We then give a best monotone degree condition for a b-binding graph to be 1-tough, for 1<<3/2, and conjecture that this condition is also the best monotone degree condition for a b-binding graph to be hamiltonian, for 1<<3/2.",

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T1 - Best monotone degree conditions for binding number and cycle structure

AU - Bauer, D.

AU - Nevo, A.

AU - Schmeichel, E.

AU - Woodall, D. R.

AU - Yatauro, M.

PY - 2015/11/20

Y1 - 2015/11/20

N2 - Woodall has shown that every 3/2-binding graph is hamiltonian. In this paper, we consider best monotone degree conditions for a b-binding graph to be hamiltonian, for 1≤b<3/2. We first establish such a condition for b=1. We then give a best monotone degree condition for a b-binding graph to be 1-tough, for 1<<3/2, and conjecture that this condition is also the best monotone degree condition for a b-binding graph to be hamiltonian, for 1<<3/2.

AB - Woodall has shown that every 3/2-binding graph is hamiltonian. In this paper, we consider best monotone degree conditions for a b-binding graph to be hamiltonian, for 1≤b<3/2. We first establish such a condition for b=1. We then give a best monotone degree condition for a b-binding graph to be 1-tough, for 1<<3/2, and conjecture that this condition is also the best monotone degree condition for a b-binding graph to be hamiltonian, for 1<<3/2.

UR - https://www.scopus.com/pages/publications/84941413415

UR - https://www.scopus.com/pages/publications/84941413415#tab=citedBy

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DO - 10.1016/j.dam.2013.12.014

M3 - Article

AN - SCOPUS:84941413415

SN - 0166-218X

VL - 195

SP - 8

EP - 17

JO - Discrete Applied Mathematics

JF - Discrete Applied Mathematics

ER -

Best monotone degree conditions for binding number and cycle structure

Abstract

All Science Journal Classification (ASJC) codes

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