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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
HOW PROVABLY GRACEFUL ARE THE TREES? 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.0.0.25.133-136

Abstract

Given the inability to prove that all trees are graceful, can we at least say something positive about their gracefulness? Two problems of this type are presented.DOI : http://dx.doi.org/10.22342/jims.0.0.25.133-136
ON THE EDGE-BALANCE INDEX SETS OF L-PRODUCT OF CYCLES Bouchard, Daniel; Clark, Patrick; Su, Hsin-Hao
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.0.0.16.27-38

Abstract

PDF AbstractDOI : http://dx.doi.org/10.22342/jims.0.0.16.27-38
ON MOD(3)-EDGE-MAGIC GRAPHS Lee, Sin-Min; Schaffer, Karl; Su, Hsin-Hao; Wang, Yung-Chin
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.0.0.81.

Abstract

Let G be a (p, q)-graph in which the edges are labeled 1, 2, . . . , q. The vertex sum for a vertex v is the sum of the labels of the incident edges at v. If the vertex sums are constant, modulo k, where k= 2, then G is said to be Mod(k)-edge-magic. When k = p, Mod(p)-edge-magic graph is the edge-magic graph which was introduced by the Lee, Seah and Tan in [9]. In this paper we investigate graphs which are Mod(3)-edge-magic.DOI : http://dx.doi.org/10.22342/jims.0.0.81.
GRACEFUL LABELING ALGORITHMS AND COMPLEXITY – A SURVEY S. Arumugam; Jay Bagga
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 S. Arumugam; Dalibor Froncek; N. Kamatchi
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 <i>G = (V;E)</i> be a graph of order n. A bijection <i>f : V &rarr; {1, 2,...,n} </i>is called <i>a distance magic labeling </i>of G if there exists a positive integer k such that <i>&Sigma; f(u) = k </i> for all <i>v &epsilon; V</i>, where <i>N(v)</i> is the open neighborhood of v. The constant k is called the magic constant of the labeling f. Any graph which admits <i>a distance magic labeling </i>is 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
ON THE EDGE-BALANCE INDEX SETS OF L-PRODUCT OF CYCLES Daniel Bouchard; Patrick Clark; Hsin-Hao Su
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.0.0.16.27-38

Abstract

PDF AbstractDOI : http://dx.doi.org/10.22342/jims.0.0.16.27-38
DECOMPOSITIONS OF COMPLETE GRAPHS INTO KAYAK PADDLES Dalibor Froncek; Leah Tollefson
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 K<sub>2n+1</sub> is decomposable into kayak paddles with <i>n</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 Joseph A. Gallian
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 &ALPHA; -VALUATIONS OF GRAPHS Rikio Ichishima; Akito Oshima
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 Elliot Krop; Sin-Min Lee; Christopher Raridan
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 K<sub>n</sub> X K<sub>2</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

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