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The cohesiveness of a point of a graph

โœ Scribed by Jin Akiyama; Frank Boesch; Hiroshi Era; Frank Harary; Ralph Tindell


Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
184 KB
Volume
11
Category
Article
ISSN
0028-3045

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๐Ÿ“œ SIMILAR VOLUMES


The cordiality of one-point union of n c
โœ Sze-Chin Shee; Yong-Song Ho ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 877 KB

Shee, S.-C. and Y.-S. Ho, The cordiality of one-point union of n copies of a graph, Discrete Mathematics 117 (1993) 225-243. In this paper we give an equivalent definition of a cordial graph. The definition implies a previous result of Cahit (1986); it also enables us to find infinite families of n

A Geometric Construction of Partial Geom
โœ Elisabeth Kuijken ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 73 KB

In 1998 Mathon constructed algebraically a class of partial geometries pg(q -1, (q 2 -1)/2, (q -1)/2), where q is an even power of 3. The point graph of these partial geometries is the Hermitian graph constructed by Taylor. In this paper a geometric construction of Mathon's partial geometries is giv

On the hamiltonian path graph of a graph
โœ George R. T. Hendry ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 491 KB ๐Ÿ‘ 1 views

The hamiltonian path graph H(F) of a graph F is that graph having the same vertex set as F and in which two vertices u and u are adjacent if and only if F contains a hamiltonian u -u path. First, in response to a conjecture of Chartrand, Kapoor and Nordhaus, a characterization of nonhamiltonian grap

The biparticity of a graph
โœ Frank Harary; Derbiau Hsu; Zevi Miller ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 116 KB

## Abstract The biparticity ฮฒ(__G__) of a graph __G__ is the minimum number of bipartite graphs required to cover __G__. It is proved that for any graph __G__, ฮฒ(__G__) = {log~2~ฯ‡(__G__)}. In view of the recent announcement of the Four Color Theorem, it follows that the biparticity of every planar