### Abstract

We introduce the notion of the degree of incidence of a vertex and an edge in a fuzzy graph in fuzzy graph theory. We concentrate on incidence, where the edge is adjacent to the vertex. We determine results concerning bridges, cutvertices, cutpairs, fuzzy incidence paths, fuzzy incidence tree for fuzzy incidence graphs. In (Dinesh, Ph.D. thesis, Kannur University, Kerala, India, [4]; Dinesh, Adv Fuzzy Sets Syst, 21:33–48, 2016, [5]), Dinesh introduced the notion of the degree of incidence of a vertex and an edge in fuzzy graph theory. This notion seem to have potential use in a variety of areas involving networks, Mordeson (Adv Fuzzy Sets Syst, 22:121–133, 2016, [12]).

Original language | English (US) |
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Title of host publication | Studies in Fuzziness and Soft Computing |

Publisher | Springer Verlag |

Pages | 87-137 |

Number of pages | 51 |

DOIs | |

Publication status | Published - Jan 1 2018 |

### Publication series

Name | Studies in Fuzziness and Soft Computing |
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Volume | 365 |

ISSN (Print) | 1434-9922 |

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### All Science Journal Classification (ASJC) codes

- Computer Science (miscellaneous)
- Computational Mathematics

### Cite this

*Studies in Fuzziness and Soft Computing*(pp. 87-137). (Studies in Fuzziness and Soft Computing; Vol. 365). Springer Verlag. https://doi.org/10.1007/978-3-319-76454-2_3