Local distance antimagic cromatic number of join product of graphs with cycles or paths

Wai-chee Shiu; Gee-choon Lau; Nalliah M

Makale detayları

Local distance antimagic cromatic number of join product of graphs with cycles or paths

Yazarlar:

Wai-chee Shiu | Gee-choon Lau | Nalliah M

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 3, pp.788-802

Belge Tipi:

Makale

Yayın Tarihi:

6/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001320032

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 Let G be a graph of order p without isolated vertices. A bijection f: V to 1,2,3,dots,p is called a local distance antimagic labeling, if w_fune w_fv for every edge uv of G, where w_fusum_xepsilon Nu fx. The local distance antimagic chromatic number chi_ldaG is defined to be the minimum number of colors taken over all colorings of G induced by local distance antimagic labelings of G. In this paper, we determined the local distance antimagic chromatic number of some cycles, paths, disjoint union of 3-paths. We also determined the local distance antimagic chromatic number of join products of some graphs with cycles or paths.

 Let G be a graph of order p without isolated vertices. A bijection f: V to 1,2,3,dots,p is called a local distance antimagic labeling, if w_fune w_fv for every edge uv of G, where w_fusum_xepsilon Nu fx. The local distance antimagic chromatic number chi_ldaG is defined to be the minimum number of colors taken over all colorings of G induced by local distance antimagic labelings of G. In this paper, we determined the local distance antimagic chromatic number of some cycles, paths, disjoint union of 3-paths. We also determined the local distance antimagic chromatic number of join products of some graphs with cycles or paths.

 Let G be a graph of order p without isolated vertices. A bijection f: V to 1,2,3,dots,p is called a local distance antimagic labeling, if w_fune w_fv for every edge uv of G, where w_fusum_xepsilon Nu fx. The local distance antimagic chromatic number chi_ldaG is defined to be the minimum number of colors taken over all colorings of G induced by local distance antimagic labelings of G. In this paper, we determined the local distance antimagic chromatic number of some cycles, paths, disjoint union of 3-paths. We also determined the local distance antimagic chromatic number of join products of some graphs with cycles or paths.

 Let G be a graph of order p without isolated vertices. A bijection f: V to 1,2,3,dots,p is called a local distance antimagic labeling, if w_fune w_fv for every edge uv of G, where w_fusum_xepsilon Nu fx. The local distance antimagic chromatic number chi_ldaG is defined to be the minimum number of colors taken over all colorings of G induced by local distance antimagic labelings of G. In this paper, we determined the local distance antimagic chromatic number of some cycles, paths, disjoint union of 3-paths. We also determined the local distance antimagic chromatic number of join products of some graphs with cycles or paths.

Makale detayları

Local distance antimagic cromatic number of join product of graphs with cycles or paths

Yazarlar:

Wai-chee Shiu | Gee-choon Lau | Nalliah M

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 3, pp.788-802

Belge Tipi:

Makale

Yayın Tarihi:

6/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001320032

pISSN:

2651-477X

local distance antimagic chromatic number

join product

cycle

path

null graph

Sayı

Makale detayları

Local distance antimagic cromatic number of join product of graphs with cycles or paths

Yazarlar: Wai-chee Shiu | Gee-choon Lau | Nalliah M

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 3, pp.788-802

Belge Tipi: Makale

Yayın Tarihi: 6/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001320032

pISSN: 2651-477X

local distance antimagic chromatic number

join product

cycle

path

null graph

Sayı

Yazarlar:

Wai-chee Shiu | Gee-choon Lau | Nalliah M

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 3, pp.788-802

Belge Tipi:

Makale

Yayın Tarihi:

6/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001320032

pISSN:

2651-477X