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Neighborhood conditions for graphs with induced claws

โœ Scribed by Annette Schelten; Uwe Schelten


Book ID
104114135
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
505 KB
Volume
191
Category
Article
ISSN
0012-365X

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โœฆ Synopsis


K~,4-free graphs with independent claw centers and a certain neighborhood property concerning the endvertices of the induced claws are proved to be pancyclic or Hamiltonian, depending on which of three different properties concerning induced modified claws they meet. (~) 1998 Elsevier Science B.V. All rights reserved


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Neighborhood conditions for balanced ind
โœ Denise Amar; Stephan Brandt; Daniel Brito; Oscar Ordaz ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 319 KB

Let G be a balanced bipartite graph of order 2n and minimum degree 6(G)>~3. If, for every balanced independent set S of four vertices, IN(S)I >n then G is traceable, the circumference is at least 2n -2 and G contains a 2-factor (with only small order exceptional graphs for the latter statement). If