# Cycles through specified vertices in triangle-free graphs

Daniel Paulusma; Kiyoshi Yoshimoto

Discussiones Mathematicae Graph Theory (2007)

- Volume: 27, Issue: 1, page 179-191
- ISSN: 2083-5892

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topDaniel Paulusma, and Kiyoshi Yoshimoto. "Cycles through specified vertices in triangle-free graphs." Discussiones Mathematicae Graph Theory 27.1 (2007): 179-191. <http://eudml.org/doc/270311>.

@article{DanielPaulusma2007,

abstract = {Let G be a triangle-free graph with δ(G) ≥ 2 and σ₄(G) ≥ |V(G)| + 2. Let S ⊂ V(G) consist of less than σ₄/4+ 1 vertices. We prove the following. If all vertices of S have degree at least three, then there exists a cycle C containing S. Both the upper bound on |S| and the lower bound on σ₄ are best possible.},

author = {Daniel Paulusma, Kiyoshi Yoshimoto},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {cycle; path; triangle-free graph},

language = {eng},

number = {1},

pages = {179-191},

title = {Cycles through specified vertices in triangle-free graphs},

url = {http://eudml.org/doc/270311},

volume = {27},

year = {2007},

}

TY - JOUR

AU - Daniel Paulusma

AU - Kiyoshi Yoshimoto

TI - Cycles through specified vertices in triangle-free graphs

JO - Discussiones Mathematicae Graph Theory

PY - 2007

VL - 27

IS - 1

SP - 179

EP - 191

AB - Let G be a triangle-free graph with δ(G) ≥ 2 and σ₄(G) ≥ |V(G)| + 2. Let S ⊂ V(G) consist of less than σ₄/4+ 1 vertices. We prove the following. If all vertices of S have degree at least three, then there exists a cycle C containing S. Both the upper bound on |S| and the lower bound on σ₄ are best possible.

LA - eng

KW - cycle; path; triangle-free graph

UR - http://eudml.org/doc/270311

ER -

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