Super edge-antimagic labelings of the generalized Petersen graph P(n, (n-1)/2))
- Authors: Baca, Martin , Baskoro, Edy , Simanjuntak, Rinovia , Sugeng, Kiki Ariyanti
- Date: 2006
- Type: Text , Journal article
- Relation: Utilitas Mathematica Vol. 70, no. (Jul 2006), p. 119-127
- Full Text: false
- Reviewed:
- Description: An (a,d)-edge-antimagic total labeling of G is a one-to-one mapping f taking the vertices and edges onto 1, 2,..., vertical bar V (G)vertical bar + vertical bar E(G)vertical bar so that the edge-weights w(xy) = f(x) + f(y) + f(xy), xy is an element of E(G), form an arithmetic progression with initial term a and common difference d. An (a, d)-edge-antimagic total labeling is called super (a,d)-edge-antimagic total if f(V(G)) = {1, 2,..., vertical bar V(G)vertical bar}. This paper considers such labelings applied to cycles and generalized Petersen graphs.
- Description: C1
- Description: 2003001832
Antimagic valuations for the special class of plane graphs
- Authors: Baca, Martin , Baskoro, Edy , Miller, Mirka
- Date: 2005
- Type: Text , Journal article
- Relation: Lecture Notes in Computer Science Vol. 3350, no. (2005), p. 58-64
- Full Text: false
- Reviewed:
- Description: We deal with the problem of labeling the vertices, edges and faces of a special class of plane graphs with 3-sided internal faces in such a way that the label of a face and the labels of the vertices and edges surrounding that face all together add up to the weight of that face. These face weights then form an arithmetic progression with common difference d.
- Description: C1
- Description: 2003001410
Conjectures and open problems on face antimagic evaluations of graphs
- Authors: Miller, Mirka , Baca, Martin , Baskoro, Edy , Cholily, Yus Mochamad , Jendrol, Stanislav , Lin, Yuqing , Ryan, Joe , Simanjuntak, Rinovia , Slamin, , Sugeng, Kiki Ariyanti
- Date: 2005
- Type: Text , Journal article
- Relation: Journal of Indonesian Mathematical Society MIHMI Vol. 11, no. 2 (2005), p. 175-192
- Full Text: false
- Reviewed:
- Description: C1
- Description: 2003001408
Survey of edge antimagic labelings of graphs
- Authors: Miller, Mirka , Baca, Martin , Baskoro, Edy , Ryan, Joe , Simanjuntak, Rinovia , Sugeng, Kiki Ariyanti
- Date: 2006
- Type: Text , Journal article
- Relation: Journal of Indonesian Mathematical Society, MIHMI Vol. 12, no. 1 (2006), p. 113-130
- Full Text: false
- Reviewed:
- Description: C1
- Description: 2003001600