BILANGAN KROMATIK LOKASI DARI BEBERAPA GRAF HASIL KALI KARTESIUS
For a vertex coloring c of a connected graph G, let be an ordered partition of V (G) into the color classes C1,C2, · · · ,Ck. For a vertex v of G, the color code c(v) of v is the k-vector (d(v,C1), d(v,C2), · · · , d(v,Ck)) where d(v,Ci) = min{d(v, x) : x ? Ci}, for 1 ? i ? k. If distinct verti...
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id-itb.:444722019-10-22T10:10:50ZBILANGAN KROMATIK LOKASI DARI BEBERAPA GRAF HASIL KALI KARTESIUS Ramdani, Rismawati Indonesia Theses color code, locating set, locating coloring, locating chromatic number, cartesian product graph. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/44472 For a vertex coloring c of a connected graph G, let be an ordered partition of V (G) into the color classes C1,C2, · · · ,Ck. For a vertex v of G, the color code c(v) of v is the k-vector (d(v,C1), d(v,C2), · · · , d(v,Ck)) where d(v,Ci) = min{d(v, x) : x ? Ci}, for 1 ? i ? k. If distinct vertices have distinct color codes, then c is called locating-coloring of G. Equivalently, is called locating set of G. Locating-coloring which contains minimum number of colors is called minimum locating coloring. Its cardinality is called locating chromatic number of G, denoted by L(G). In this final project, we consider the locating chromatic number of some cartesian product graphs, namely ladder graphs (P2 × Pn), book graphs (P2 × K1,n), prism graphs (P2 × Cn) and graphs Pm × Kn. text |
| institution |
Institut Teknologi Bandung |
| building |
Institut Teknologi Bandung Library |
| continent |
Asia |
| country |
Indonesia Indonesia |
| content_provider |
Institut Teknologi Bandung |
| collection |
Digital ITB |
| language |
Indonesia |
| description |
For a vertex coloring c of a connected graph G, let be an ordered partition of
V (G) into the color classes C1,C2, · · · ,Ck. For a vertex v of G, the color code c(v)
of v is the k-vector
(d(v,C1), d(v,C2), · · · , d(v,Ck))
where d(v,Ci) = min{d(v, x) : x ? Ci}, for 1 ? i ? k. If distinct vertices have
distinct color codes, then c is called locating-coloring of G. Equivalently, is called
locating set of G. Locating-coloring which contains minimum number of colors is
called minimum locating coloring. Its cardinality is called locating chromatic number
of G, denoted by L(G). In this final project, we consider the locating chromatic
number of some cartesian product graphs, namely ladder graphs (P2 × Pn), book
graphs (P2 × K1,n), prism graphs (P2 × Cn) and graphs Pm × Kn. |
| format |
Theses |
| author |
Ramdani, Rismawati |
| spellingShingle |
Ramdani, Rismawati BILANGAN KROMATIK LOKASI DARI BEBERAPA GRAF HASIL KALI KARTESIUS |
| author_facet |
Ramdani, Rismawati |
| author_sort |
Ramdani, Rismawati |
| title |
BILANGAN KROMATIK LOKASI DARI BEBERAPA GRAF HASIL KALI KARTESIUS |
| title_short |
BILANGAN KROMATIK LOKASI DARI BEBERAPA GRAF HASIL KALI KARTESIUS |
| title_full |
BILANGAN KROMATIK LOKASI DARI BEBERAPA GRAF HASIL KALI KARTESIUS |
| title_fullStr |
BILANGAN KROMATIK LOKASI DARI BEBERAPA GRAF HASIL KALI KARTESIUS |
| title_full_unstemmed |
BILANGAN KROMATIK LOKASI DARI BEBERAPA GRAF HASIL KALI KARTESIUS |
| title_sort |
bilangan kromatik lokasi dari beberapa graf hasil kali kartesius |
| url |
https://digilib.itb.ac.id/gdl/view/44472 |
| _version_ |
1823640502072770560 |