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INDONESIA
Journal of the Indonesian Mathematical Society
Published by Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Mathematics
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
Arjuna Subject : -
Articles 26 Documents
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Search results for , issue "Special Edition, Year 2011" : 26 Documents clear
GRACEFUL LABELING ALGORITHMS AND COMPLEXITY – A SURVEY Arumugam, S.; Bagga, Jay
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.14.1-9

Abstract

Graceful graphs were first studied by Rosa in 1966. The Kotzig-Ringel graceful tree conjecture states that every tree has a graceful labeling. Aldred and McKay and others have used computer programs to show that trees of order up to 35 are graceful. Bagga et al. investigated algorithms for generating all graceful labelings of certain known classes of graceful graphs, including paths, cycles, and certain other classes of unicyclic graphs. The data generated by such algorithms has led to the discovery of new properties of such graceful labelings. In this paper we present a survey of graceful graph labeling algorithms and related complexity issues.DOI : http://dx.doi.org/10.22342/jims.0.0.14.1-9
DISTANCE MAGIC GRAPHS - A SURVEY Arumugam, S.; Froncek, Dalibor; Kamatchi, N.
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.15.11-26

Abstract

Let iG = (V;E)/i be a graph of order n. A bijection if : V rarr; {1, 2,...,n} /iis called ia distance magic labeling /iof G if there exists a positive integer k such that iSigma; f(u) = k /i for all iv epsilon; V/i, where iN(v)/i is the open neighborhood of v. The constant k is called the magic constant of the labeling f. Any graph which admits ia distance magic labeling /iis called a distance magic graph. In this paper we present a survey of existing results on distance magic graphs along with our recent results,open problems and conjectures.DOI : http://dx.doi.org/10.22342/jims.0.0.15.11-26
DECOMPOSITIONS OF COMPLETE GRAPHS INTO KAYAK PADDLES Froncek, Dalibor; Tollefson, Leah
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.17.39-44

Abstract

A canoe paddle is a cycle attached to an end-vertex of a path. It was shown by Truszczynski that all canoe paddles are graceful and therefore decompose complete graphs. A kayak paddle is a pair of cycles joined by a path. We prove that the complete graph Ksub2n+1/sub is decomposable into kayak paddles with in/i edges whenever at least one of its cycles is eve.DOI : http://dx.doi.org/10.22342/jims.0.0.17.39-44
LIVING WITH THE LABELING DISEASE FOR 25 YEARS Gallian, Joseph A.
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.18.45-58

Abstract

In this article I trace my involvement with graph labeling for the past 25 years. I provide some statistical information about the growth in interest in graph labeling and some open problems that I believe are accessible.DOI : http://dx.doi.org/10.22342/jims.0.0.18.45-58
ON THE SUPER EDGE-MAGIC DEFICIENCY AND Α -VALUATIONS OF GRAPHS Ichishima, Rikio; Oshima, Akito
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.19.59-69

Abstract

Pdf Abstract.DOI : http://dx.doi.org/10.22342/jims.0.0.19.59-69
ON THE EDGE-BALANCED INDEX SETS OF PRODUCT GRAPHS Krop, Elliot; Lee, Sin-Min; Raridan, Christopher
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.20.71-78

Abstract

We characterize strongly edge regular product graphs and find the edge-balanced index sets of complete bipartite graphs without a perfect matching, the direct product Ksubn/sub X Ksub2/sub. We also prove a lemma that is helpful to determine theedge-balanced index sets of regular graphs.DOI : http://dx.doi.org/10.22342/jims.0.0.20.71-78
VERTEX (A,D)-ANTIMAGIC TOTAL LABELING ON CIRCULANT GRAPH CN(1,2,3) Sugeng, K. A.; Bong, N. H.
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.21.79-88

Abstract

Pdf Abstract.DOI : http://dx.doi.org/10.22342/jims.0.0.21.79-88
AN INTRODUCTION TO DISTANCE D MAGIC GRAPHS O'Neal, Allen; Slater, Peter J.
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.22.89-107

Abstract

Pdf Abstract.DOI : http://dx.doi.org/10.22342/jims.0.0.22.89-107 
DECOMPOSITION OF COMPLETE GRAPHS AND COMPLETE BIPARTITE GRAPHS INTO COPIES OF Pn3 or S2Pn3 AND HARMONIOUS LABELING OF K2+ Pn Selvaraju, P.; Sethuraman, G.
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.23.109-122

Abstract

Pdf AbstractDOI : http://dx.doi.org/10.22342/jims.0.0.23.109-122
TOTALLY MAGIC INJECTIONS D. Wallis, W.
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.24.123-131

Abstract

A labelling is a mapping whose domain is some set of graph elements- the set of vertices, for example, or the set of all vertices and edges - and whose range is a set of positive integers. In particular, if the labels associated with any edge - the label on the edge itself, and those on its endpoints -always add to the same sum, the labeling, and the graph possessing it, is called magic. A related concept, a vertex-magic total labeling, is one in which the sum of the label on any vertex with the labels on the edges containing it is always constant. A labeling which has both the vertex-magic and edge-magic properties (usually with two different constants) is called totally magic, as is a graph possessing such a labeling. In this paper we survey what is known about totally magic graphs and an important generalization.DOI : http://dx.doi.org/10.22342/jims.0.0.24.123-131

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