TY - JOUR
ID - 3048
TI - Structural properties of fuzzy graphs
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Li, Xiaonan
AU - Yi, Huangjian
AD - School of Mathematics and Statistics, Xidian University, Xi'an, 710071,
Shaanxi, China
AD - School of Information and Technology, Northwest University, Xi'an,
710069, Shaanxi, China
Y1 - 2017
PY - 2017
VL - 14
IS - 1
SP - 131
EP - 144
KW - Fuzzy graph
KW - Partial fuzzy subgraph
KW - Cycle
KW - Fuzzy matroid
DO - 10.22111/ijfs.2017.3048
N2 - Matroids are important combinatorial structures and connect close-lywith graphs. Matroids and graphs were all generalized to fuzzysetting respectively. This paper tries to study connections betweenfuzzy matroids and fuzzy graphs. For a given fuzzy graph, we firstinduce a sequence of matroids from a sequence of crisp graph, i.e.,cuts of the fuzzy graph. A fuzzy matroid, named graph fuzzy matroid,is then constructed by using the sequence of matroids. An equivalentdescription of graphic fuzzy matroids is given and their propertiesof fuzzy bases and fuzzy circuits are studied.
UR - http://ijfs.usb.ac.ir/article_3048.html
L1 - http://ijfs.usb.ac.ir/article_3048_b36fae2bb90f788b2a7a140802ec8baa.pdf
ER -