SOME NEW RESULTS ON INTEGER ADDITIVE SET-VALUED SIGNED GRAPHS

N. K. SUDEV; P. K. ASHRAF; K. A. GERMİNA

Makale detayları

SOME NEW RESULTS ON INTEGER ADDITIVE SET-VALUED SIGNED GRAPHS

Yazarlar:

N. K. SUDEV | P. K. ASHRAF | K. A. GERMİNA

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2019 Vol.9 Issue 3, pp.638-645

Belge Tipi:

Makale

Yayın Tarihi:

8/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000805511

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147

Özet:

 

Let X denotes a set of non-negative integers and P X  be its power set.  An integer additive set-labeling  IASL  of a graph G is an injective set-valued function  f : V  G  → P X  − {∅} such that the induced function f  + : E G  → P X  − {∅} is  defined by f  + uv  = f u  + f v ; ∀ uv ∈ E G , where f u  + f v  is the sumset of f u   and f v . An IASL of a signed graph is an IASL of its underlying graph G together  with the signature σ defined by σ uv  =  −1 |f+ uv |  ; ∀ uv ∈ E Σ . In this paper, we  discuss certain characteristics of the signed graphs which admits certain types of integer  additive set-labelings.

Makale detayları

SOME NEW RESULTS ON INTEGER ADDITIVE SET-VALUED SIGNED GRAPHS

Yazarlar: N. K. SUDEV | P. K. ASHRAF | K. A. GERMİNA

Yayıncı: Turkic World Mathematical Society

Dergi: TWMS Journal of Applied and Engineering Mathematics 2019 Vol.9 Issue 3, pp.638-645

Belge Tipi: Makale

Yayın Tarihi: 8/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000805511

Sıklık: Aylık

eISSN: 2587-1013

pISSN: 2146-1147

Sayı

Yazarlar:

N. K. SUDEV | P. K. ASHRAF | K. A. GERMİNA

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2019 Vol.9 Issue 3, pp.638-645

Belge Tipi:

Makale

Yayın Tarihi:

8/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000805511

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147