MULTISET DIMENSION OF AMALGAMATION OF CYCLE GRAPHS
The representation multiset of v with respect to W, rm(v|W), is defined as a multiset of distances between v and the vertices in W. If rm(u|W) ?= rm(v|W) for every pair of distinct vertices u and v, then W is called an m ? resolving set of G. If G has an m ? resolving set, then m ? resolving set...
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id-itb.:683672022-09-14T11:12:59ZMULTISET DIMENSION OF AMALGAMATION OF CYCLE GRAPHS Dominic Wibisana, Bartimeus Indonesia Theses metric dimension , multiset dimension, distance. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/68367 The representation multiset of v with respect to W, rm(v|W), is defined as a multiset of distances between v and the vertices in W. If rm(u|W) ?= rm(v|W) for every pair of distinct vertices u and v, then W is called an m ? resolving set of G. If G has an m ? resolving set, then m ? resolving set with the minimum cardinality is called a multiset basis and its cardinality is called the multiset dimension of G, denoted by md(G). If G has no m ? resolving set, then G has an infinite multiset dimension and md(G) = ?. In this thesis, the multiset dimension of amalgamation of two cycle graphs and three cycle graphs will be determined. text |
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Indonesia Indonesia |
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Indonesia |
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The representation multiset of v with respect to W, rm(v|W), is defined as a multiset
of distances between v and the vertices in W. If rm(u|W) ?= rm(v|W) for every
pair of distinct vertices u and v, then W is called an m ? resolving set of G. If G
has an m ? resolving set, then m ? resolving set with the minimum cardinality
is called a multiset basis and its cardinality is called the multiset dimension of G,
denoted by md(G). If G has no m ? resolving set, then G has an infinite multiset
dimension and md(G) = ?. In this thesis, the multiset dimension of amalgamation
of two cycle graphs and three cycle graphs will be determined. |
| format |
Theses |
| author |
Dominic Wibisana, Bartimeus |
| spellingShingle |
Dominic Wibisana, Bartimeus MULTISET DIMENSION OF AMALGAMATION OF CYCLE GRAPHS |
| author_facet |
Dominic Wibisana, Bartimeus |
| author_sort |
Dominic Wibisana, Bartimeus |
| title |
MULTISET DIMENSION OF AMALGAMATION OF CYCLE GRAPHS |
| title_short |
MULTISET DIMENSION OF AMALGAMATION OF CYCLE GRAPHS |
| title_full |
MULTISET DIMENSION OF AMALGAMATION OF CYCLE GRAPHS |
| title_fullStr |
MULTISET DIMENSION OF AMALGAMATION OF CYCLE GRAPHS |
| title_full_unstemmed |
MULTISET DIMENSION OF AMALGAMATION OF CYCLE GRAPHS |
| title_sort |
multiset dimension of amalgamation of cycle graphs |
| url |
https://digilib.itb.ac.id/gdl/view/68367 |
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1822005723764097024 |