Results 41 to 50 of about 4,929,609 (209)

"Graph Entropy, Network Coding and Guessing games" [PDF]

open access: yes, 2007
We introduce the (private) entropy of a directed graph (in a new network coding sense) as well as a number of related concepts. We show that the entropy of a directed graph is identical to its guessing number and can be bounded from below with the number
RIIS, SM
core   +4 more sources

Investigations in Quantum Computing: Causality and Graph Isomorphism [PDF]

open access: yes, 2004
In this thesis I explore two different types of limits on the time complexity of quantum computation---that is, limits on how much time is required to perform a given class of quantum operations on a quantum system. Upper limits can be found by explicit
Beckman, David Eugene
core   +1 more source

Further study of eccentricity based indices for benzenoid hourglass network

open access: yesHeliyon, 2023
Topological Indices are the mathematical estimate related to atomic graph that corresponds biological structure with several real properties and chemical activities. These indices are invariant of graph under graph isomorphism.
Hifza Iqbal   +6 more
doaj   +1 more source

The H-Line Signed Graph of a Signed Graph [PDF]

open access: yes, 2010
For standard terminology and notion in graph theory we refer the reader to Harary; the non-standard will be given in this paper as and when required.
Reddy, Siva Kota   +2 more
core   +1 more source

Interaction graphs of isomorphic automata networks I: Complete digraph and minimum in-degree

open access: yesJournal of Computer and System Sciences, 2023
An automata network with $n$ components over a finite alphabet $Q$ of size $q$ is a discrete dynamical system described by the successive iterations of a function $f:Q^n\to Q^n$. In most applications, the main parameter is the interaction graph of $f$: the digraph with vertex set $[n]$ that contains an arc from $j$ to $i$ if $f_i$ depends on input $j$.
Bridoux, Florian   +3 more
openaire   +5 more sources

Graph Isomorphism and Hybrid-Order Residual Gated Graph Neural Network for Session-Based Recommendation [PDF]

open access: yesJisuanji kexue yu tansuo
Session-based recommendation aims to predict which item will be clicked next for the current session. Aiming at the shortcomings of existing session recommendation models based on graph neural network, this paper proposes a model named graph isomorphism ...
WANG Yonggui, YU Qi
doaj   +1 more source

Ideal Graph of a Graph [PDF]

open access: yes, 2011
In this paper, we introduce ideal graph of a graph and study some of its properties. We characterize connectedness, isomorphism of graphs and coloring property of a graph using ideal graph.
Manoharan, R., Vasuki, R.
core   +1 more source

Analyzing single-valued neutrosophic fuzzy graphs through matroid perspectives

open access: yesAin Shams Engineering Journal
We hope to present this paper on the emergence of a novel category of matroids derived from single-valued neutrosophic (SVN) fuzzy-graphs. The findings of this study make a substantial contribution to both matroid theory and the field of neutrosophic ...
S.M. Balaji, D. Meiyappan, R. Sujatha
doaj   +1 more source

Investigating Hypernode Classification of Complex Systems Based on High-order Graph Neural Networks

open access: yesGuidance, Navigation and Control
Investigating latent interactions beyond direct connections is essential for analyzing complex networks. However, traditional graph structures often fail to capture complex relationships, especially in the high-order interactions among multiple ...
Jiawen Chen   +3 more
doaj   +1 more source

On‐Chip Photonic Neural Network Architectures

open access: yesAdvanced Optical Materials, EarlyView.
This review presents a comprehensive overview of on‐chip photonic neural network architectures, covering key photonic building blocks, representative network types, and emerging applications. Recent advances, implementation challenges, and future directions are examined, highlighting the potential of integrated photonics to enable ultrafast, energy ...
Seokjin Hong   +7 more
wiley   +1 more source

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