Paper title: |
## The L(2,1)-Labeling of Some Middle Graphs |

Published in: |
Issue 3, (Vol. 4) / 2010 |

Publishing date: |
2010-10-26 |

Pages: |
104-107 |

Author(s): |
VAIDYA Samir K., BANTVA Devsi D. |

Abstract. |
An (2,1) L -labeling of a graph G is a function f
from the vertex set V (G) to the set of all nonnegative integers such that |f(x)-f(y)| >= 2 if d(x,y) = 1 and
|f(x)-f(y)| >= 1 if if d(x,y) = 2. The L(2,1) -labeling number λ(G) of G is the smallest number k such that G has an L(2,1)-labeling with max{f(v): v∈ V(G). In this paper we completely determine λ-number for middle graph of path
P_{n}, cycle C_{n} , star K_{1,n}, friendship graph F _{n}and wheel W_{n}. |

Keywords: |
L (2,1) -labeling, λ Number, Middle Graphs. |

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