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Pelabelan Harmonis Ganjil pada Graf Ular Jaring Berlipat [PDF]

open access: yes, 2020
Graphs that have odd harmonious labeling properties are called odd harmonious graphs. The purpose of this study to obtain a new graph class construction with its properties, but also to prove that the new graph class has odd harmonious labeling ...
Firmansah, Fery
core   +1 more source

Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections

open access: yesAdvanced Electronic Materials, EarlyView.
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley   +1 more source

Behaviorally Adaptive and Inclusive Advanced Driver‐Assistance Systems

open access: yesAdvanced Intelligent Systems, EarlyView.
Advanced driver‐assistance systems (ADASs) are mapped as evolving human‐centered, adaptive technologies linking sensing, driver monitoring, AR/HUD interfaces, patents, regulation, and inclusive design. The review identifies gaps in real‐world evidence, diverse‐driver validation, gaze metrics, and governance, outlining a roadmap for safer, behaviorally ...
Jana Skirnewskaja   +2 more
wiley   +1 more source

LLM‐Based Multimodal Robotic Endoscope Control Framework for Enhancing Human–Robot Interaction in Minimally Invasive Surgery

open access: yesAdvanced Intelligent Systems, EarlyView.
An large language model‐powered multimodal framework is developed for robotic endoscope control. It integrates speech recognition and real‐time instrument tracking, achieving 89.47% command accuracy with ~1s latency for natural human–robot interaction in minimally invasive surgery.
Yisen Huang   +7 more
wiley   +1 more source

ODD HARMONIOUS LABELINGS OF CYCLIC SNAKES

open access: yes, 2013
In [8] Liang and Bai have shown that the kC4 − snake graph is an odd harmonious graph for each k ≥ 1. In this paper we generalize this result on cycles by showing that the kCn − snake with string 1,1,…,1 when n ≡ 0 (mod 4) are odd harmonious graph.
M. E. Abdel-Aal   +1 more
core   +1 more source

A Geometric Characterization of Steady Laminar Flow

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley   +1 more source

Even-Odd Harmonious Labeling of Certain Family of Cyclic Graphs

open access: yesInternational Journal of Innovative Technology and Exploring Engineering, 2020
An even-odd harmonious labeling of a graph G with p vertices and q edges is a process of assigning odd numbers 1,3,5,...,2q 1 to the vertices through a 1-1 computing function f and even numbers 0, 2, 4,..., 2( p 1) to the edges through a bijective computing function f * with the condition that f *(e  uv)  ( f (u)  f (v))(mod 2q) where u and v are ...
M. Kalaimathi*, Dr. B. J. Balamurugan
openaire   +1 more source

Catalan Bounds for Symmetric Strength‐Two Orthogonal Arrays

open access: yesJournal of Combinatorial Designs, EarlyView.
ABSTRACT A Hamming shell construction is a two‐level array obtained by taking every binary vector of a given Hamming weight a prescribed number of times, for each weight in turn. Such arrays are invariant under all permutations of the factors, and they are strength‐two orthogonal arrays exactly when the multiplicities satisfy three linear constraints ...
Ruwan C. Karunanayaka
wiley   +1 more source

On Odd Covers of Cliques and Disjoint Unions

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT Babai and Frankl posed the “odd cover problem” of finding the minimum cardinality of a collection of complete bipartite graphs such that every edge of the complete graph of order n $n$ is covered an odd number of times. In a previous paper with O'Neill, some of the authors proved that this value is always ⌈ n / 2 ⌉ $\lceil n/2\rceil $ or ⌈ n /
Calum Buchanan   +7 more
wiley   +1 more source

Properly even harmonious labeling of a union of stars

open access: yesElectronic Journal of Graph Theory and Applications
A function f is defined as an even harmonious labeling on a graph G with q edges if f : V(G)→{0, 1, …, 2q} is an injection and the induced function f* : E(G)→{0, 2, …, 2(q − 1)} defined by f*(uv)=f(u)+f(v) (mod2q) is bijective. A properly even harmonious
Zachary M. Henderson
doaj   +1 more source

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