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) |
|---|---|
| Title of host publication | Studies in Fuzziness and Soft Computing |
| Publisher | Springer Verlag |
| Pages | 87-137 |
| Number of pages | 51 |
| DOIs | |
| State | Published - Jan 1 2018 |
Publication series
| Name | Studies in Fuzziness and Soft Computing |
|---|---|
| Volume | 365 |
| ISSN (Print) | 1434-9922 |
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All Science Journal Classification (ASJC) codes
- Computer Science (miscellaneous)
- Computational Mathematics
Cite this
Fuzzy incidence graphs. / Mordeson, John N.; Mathew, Sunil; Malik, Davender S.
Studies in Fuzziness and Soft Computing. Springer Verlag, 2018. p. 87-137 (Studies in Fuzziness and Soft Computing; Vol. 365).Research output: Chapter in Book/Report/Conference proceeding › Chapter
}
TY - CHAP
T1 - Fuzzy incidence graphs
AU - Mordeson, John N.
AU - Mathew, Sunil
AU - Malik, Davender S.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - 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]).
AB - 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]).
UR - http://www.scopus.com/inward/record.url?scp=85044209268&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85044209268&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-76454-2_3
DO - 10.1007/978-3-319-76454-2_3
M3 - Chapter
AN - SCOPUS:85044209268
T3 - Studies in Fuzziness and Soft Computing
SP - 87
EP - 137
BT - Studies in Fuzziness and Soft Computing
PB - Springer Verlag
ER -