# Minimal non-selfcentric radially-maximal graphs of radius 4

Discussiones Mathematicae Graph Theory (2007)

- Volume: 27, Issue: 3, page 603-610
- ISSN: 2083-5892

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topMartin Knor. "Minimal non-selfcentric radially-maximal graphs of radius 4." Discussiones Mathematicae Graph Theory 27.3 (2007): 603-610. <http://eudml.org/doc/270434>.

@article{MartinKnor2007,

abstract = {There is a hypothesis that a non-selfcentric radially-maximal graph of radius r has at least 3r-1 vertices. Using some recent results we prove this hypothesis for r = 4.},

author = {Martin Knor},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {non-selfcentric; radially-maximal; critical; center; radius; planar graph},

language = {eng},

number = {3},

pages = {603-610},

title = {Minimal non-selfcentric radially-maximal graphs of radius 4},

url = {http://eudml.org/doc/270434},

volume = {27},

year = {2007},

}

TY - JOUR

AU - Martin Knor

TI - Minimal non-selfcentric radially-maximal graphs of radius 4

JO - Discussiones Mathematicae Graph Theory

PY - 2007

VL - 27

IS - 3

SP - 603

EP - 610

AB - There is a hypothesis that a non-selfcentric radially-maximal graph of radius r has at least 3r-1 vertices. Using some recent results we prove this hypothesis for r = 4.

LA - eng

KW - non-selfcentric; radially-maximal; critical; center; radius; planar graph

UR - http://eudml.org/doc/270434

ER -

## References

top- [1] F. Gliviak, M. Knor and L'. Soltés, On radially maximal graphs, Australasian J. Combin. 9 (1994) 275-284. Zbl0816.05038
- [2] A. Haviar, P. Hrnciar and G. Monoszová, Eccentric sequences and cycles in graphs, Acta Univ. M. Belii Math. 11 (2004) 7-25. Zbl1063.05039

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