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Eccentric sequences in graphs

โœ Scribed by Linda Lesniak


Publisher
Springer Netherlands
Year
1975
Tongue
English
Weight
399 KB
Volume
6
Category
Article
ISSN
0031-5303

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๐Ÿ“œ SIMILAR VOLUMES


Eccentric sequences and eccentric sets i
โœ M. Behzad; James E. Simpson ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 679 KB

B) a graph we mean a finite undirected connected graph of order p, p 2 2, with no loops or multrple edges. A finite non-decreasing sequence S : s,. s:.. . , sp p \* 2. of positive integers is an eccentric sequence if there exists a graph G with vertex set V(G) = {ul, o\_, . . . . u,,} such that for

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The eccentricity e(v) of a vertex v in a connected graph G is the distance between v and a vertex farthest from v. The eccentricity e(G) of G is the minimum integer k such that every vertex of G with eccentricity at least k is an eccentric vertex. A graph G is an eccentric graph if every vertex of

Eccentric graphs
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## For any graph G we define the eccentric graph G e on the same set of vertices, by joining two vertices in G e if and only if one of the vertices has maximum possible distance from the other. The following results are given in this paper: (1) A few general properties of eccentric graphs. (2) A

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The eccentricity e(u) of a vertex u in a connected graph G is the distance between u and a vertex furthest from u. The minimum eccentricity among the vertices of G is the radius rad G of G, and the maximum The radial number m(u) of u is the minimum eccentricity among the eccentric vertices of u, wh

Unique eccentric point graphs
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