ON THE IRREGULARITY STRENGTH AND MODULAR IRREGULARITY STRENGTH OF FRIENDSHIP GRAPHS AND ITS DISJOINT UNION

For a simple, undirected graph G with, at most one isolated vertex and no isolated edges, a labeling f:E(G)→{1,2,…,k1} of positive integers to the edges of G is called irregular if the weights of each vertex of G has a different value. The integer k1 is then called the irregularity strength of G. If the number of vertices in G or the order of G is |G|, then the labeling μ:E(G)→{1,2,…,k2}  is called modular irregular if the remainder of the weights of each vertex of G divided by |G| has a different value. The integer k2 is then called the modular irregularity strength of G. The disjoint union of two or more graphs, denoted by ‘+’, is an operation where the vertex and edge set of the result each be the disjoint union of the vertex and edge sets of the given graphs. This study discusses about the irregularity and modular irregularity strength of friendship graphs and some of its disjoint union, The result given is s(Fm ) = m + 1, ms(Fm ) = m + 1 and ms(rFm ) = rm + ⌈r/2⌉, where r denotes the number of copies of friendship graph

Towards disappearing user interfaces for ubiquitous computing: human enhancement from sixth sense to super senses

The enhancement of human senses electronically is possible when pervasive computers interact unnoticeably with humans in Ubiquitous Computing. The design of computer user interfaces towards “disappearing” forces the interaction with humans using a content rather than a menu driven approach, thus the emerging requirement for huge number of non-technical users interfacing intuitively with billions of computers in the Internet of Things is met. Learning to use particular applications in Ubiquitous Computing is either too slow or sometimes impossible so the design of user interfaces must be naturally enough to facilitate intuitive human behaviours. Although humans from different racial, cultural and ethnic backgrounds own the same physiological sensory system, the perception to the same stimuli outside the human bodies can be different. A novel taxonomy for Disappearing User Interfaces (DUIs) to stimulate human senses and to capture human responses is proposed. Furthermore, applications of DUIs are reviewed. DUIs with sensor and data fusion to simulate the Sixth Sense is explored. Enhancement of human senses through DUIs and Context Awareness is discussed as the groundwork enabling smarter wearable devices for interfacing with human emotional memories

Pelestarian Lingkungan Pantai Wari Ino Dari Pencemaran Sampah

Keberadaan sampah di lingkungan pantai Wari Ino, Kabupaten Halmahera Utara mengalami penumpukan yang disebabkan oleh aktivitas manusia yang berkunjung. Upaya yang dilakukan untuk menanggulangi masalah sampah melalui kegiatan pengabdian kepada masyarakat. Tujuannya adalah melestarikan lingkungan Pantai Wari Ino dari pencemaran sampah. Metode pelaksanaan dimulai dari memberikan penyuluhan tentang pelestarian lingkungan dan pencegahan pencemaran yang diakibatkan oleh sampah serta dilanjutkan dengan demonstrasi untuk menanggulangi berbagai jenis sampah. Berdasarkan hasil kegiatan ditemukan berbagai pencemaran sampah yang berasal dari pemukiman penduduk, kunjungan wisatawan, dan lingkungan Alam. Keberhasilan pelestarian lingkungan dari pencemaran sampah di Pantai Wari Ino dapat terwujud melalui antusiasme peserta yang berkerjasama untuk menanggulangi berbagai jenis sampah di lingkungan pantai Wari Ino, namun masih terdapat kekurangan tersedianya tempat sampah dilokasi pantai Wari Ino