Novel Properties of Fuzzy Labeling Graphs

الملخص EN

The concepts of fuzzy labeling and fuzzy magic labeling graph are introduced.

Fuzzymagic labeling for some graphs like path, cycle, and star graph is defined.

It is proved that every fuzzy magic graph is a fuzzy labeling graph, butthe converse is not true.

We have shown that the removal of a fuzzy bridgefrom a fuzzy magic cycle with odd nodes reduces the strength of a fuzzy magiccycle.

Some properties related to fuzzy bridge and fuzzy cutnode have also been discussed.