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Title: On Certain Edge-Critical Graphs of a Given Diameter (English)
Author: Gliviak, Ferdinand
Language: English
Journal: Matematický časopis
ISSN: 0025-5173
Volume: 25
Issue: 3
Year: 1975
Pages: 249-263
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Category: math
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MSC: 05C35
idZBL: Zbl 0311.05126
idMR: MR0439681
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Date available: 2009-09-25T08:37:46Z
Last updated: 2012-07-31
Stable URL: http://hdl.handle.net/10338.dmlcz/126397
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Reference: [1] BOLLOBÁS B.: Graphs with given diameter and maximal valency and with a minimal number of edges.In: Combinatorial Mathematics and its Applications, Proc. Conf. Oxford, 1969, Academic Press, London 1971, 25 - 37. MR 0292705
Reference: [2] BOSÁK J., KOTZIG A., ZNÁM S.: Strongly geodetic graphs.J. Comb. Theory 5, 1968, 170-176. Zbl 0165.26602, MR 0228365
Reference: [3] GEWIRTZ A.: Graphs with maximal even girth.Canacl. J. Math. 21, 1969, 915-935. Zbl 0181.51801, MR 0304232
Reference: [4] GLIVIAK F.: On certain classes of graphs of diameter two without superfluous edges.Acta F.R.N. Univ. Com., Math. 21, 1968, 39-48. Zbl 0201.26004, MR 0265197
Reference: [5] GLIVIAK F., KYŠ P., PLESNÍK J.: On the extension of graphs with a given diameter without superfluous edges.Mat. Čas. 19, 1969, 92-101. Zbl 0185.27803, MR 0302503
Reference: [6] HARARY F.: Graph theory.Addison-Wesley Publ. Comp., Reading, 1969. Zbl 0196.27202, MR 0256911
Reference: [7] HOFFMAN A. J., SINGLETON R. R.: On Moore graphs with diameter 2 and 3.IBM J. Res. and Develop. 4, 1960, 497-504. MR 0140437
Reference: [8] PLESNÍK J.: Critical graphs of given diameter.Acta F.R.N. Univ. Com., Math. 30, 1975, 71-93. Zbl 0318.05115, MR 0398904
Reference: [9] ZNÁM Š.: On the existence and regularity of graphs with cеrtain propеrtiеs.Submittеd to Discrеtе Mathеmatics.
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