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THE SIMILARITY OF METRIC DIMENSION AND LOCAL METRIC DIMENSION OF ROOTED PRODUCT GRAPH
(2017-09-11)
Let G be a connected graph with vertex set ( )GV and =W
{}()....,,,
⊂ The representation of a vertex ( )GVv ∈ with
respect to W is the ordered k-tuple
( ) ( ) ( )( ...,,,,,
GVwww
21
()),,
k
k
1
wvdwvdWvr ...
ON COMMUTATIVE CHARACTERIZATION OF GENERALIZED COMB AND CORONA PRODUCTS OF GRAPHS WITH RESPECT TO THE LOCAL METRIC DIMENSION
(2017-09-11)
Let G be a connected graph with vertex set ( )GV and =W
{}( )....,,,
GVwww
21
m
⊂ The representation of a vertex ( ),GVv ∈
with respect to W is the ordered m-tuple ( ) ( )( ,,
() ( )),,...,,,
2 m
wvdWvr =| ...