Results 81 to 90 of about 8,162 (190)
On cyclic orthogonal double covers of circulant graphs by special infinite graphs
AKCE International Journal of Graphs and Combinatorics, 2017 In this article, a technique to construct cyclic orthogonal double covers (CODCs) of regular circulant graphs by certain infinite graph classes such as complete bipartite and tripartite graphs and disjoint union of butterfly and is introduced.
R. El-Shanawany, A. El-Mesady
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Programmable photonic unitary circuits for light computing
Nanophotonics, Volume 14, Issue 10, Page 1429-1449, May 2025.Abstract Unitarity serves as a fundamental concept for characterizing linear and conservative wave phenomena in both classical and quantum systems. Developing platforms that perform unitary operations on light waves in a universal and programmable manner enables the emulation of complex light–matter interactions and the execution of general‐purpose ...
Kyuho Kim +5 more
wiley +1 more source
Circulant Digraphs with Larger Linear Guessing Number and Smaller Degree
MathematicsThe guessing number of a digraph is a new invariant in graph theory raised by S. Riis in 2006 and based on its applications in network coding and boolean circuit complexity theory. In this paper, we present the lower and upper bounds on a guessing number
Aixian Zhang, Keqin Feng
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The Fibonacci numbers of certain subgraphs of circulant graphs
AKCE International Journal of Graphs and Combinatorics, 2015 The Fibonacci number ℱ(G) of a graph G with vertex set V(G), is the total number of independent vertex sets S⊂V(G); recall that a set S⊂V(G) is said to be independent whenever for every two different vertices u,v∈S there is no edge between them.
Loiret Alejandría Dosal-Trujillo +1 more
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FROBENIUS CIRCULANT GRAPHS OF VALENCY FOUR [PDF]
Journal of the Australian Mathematical Society, 2008 AbstractA first kind Frobenius graph is a Cayley graph Cay(K,S) on the Frobenius kernel of a Frobenius group $K \rtimes H$ such that S=aH for some a∈K with 〈aH〉=K, where H is of even order or a is an involution. It is known that such graphs admit ‘perfect’ routing and gossiping schemes.
Thomson, A, Zhou, S
openaire +3 more sources
Immunity, Inflammation and Disease, Volume 13, Issue 3, March 2025.The relationship between the lung involvement expressed by quantitative computed tomography (CALIPER) and a set of blood parameters related to tissue oxygenation and damage in COVID‐19 patients at hospital admission was evaluated in a retrospective and a prospective study involving 321 and 75, respectively, COVID‐19‐positive patients.
Maria Sofia Bertilacchi +9 more
wiley +1 more source
Minimum Feedback Vertex Sets in Distance Graphs and Circulant Graphs
Discrete Mathematics & Theoretical Computer Science, 2008 For a set D⊂ Z n, the distance graph P n (D) has Z n as its vertex set and the edges are between vertices i and j with |i-j|∈D. The circulant graph C n (D) is defined analogously by considering operations modulo n.
Hamamache Kheddouci, Olivier Togni
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E74‐like ETS transcription factor 3 expression and regulation in human intervertebral disc
JOR SPINE, Volume 8, Issue 1, March 2025.This research unveils, for the first time, the role of ELF3 in intervertebral disc degeneration (IVDD). It sheds light on the intricate interplay between ELF3 expression and the inflammatory as well as degenerative processes inherent to IVDD. Understanding the role of ELF3 in disc pathophysiology may hold potentials in developing therapies aimed at ...
María González‐Rodríguez +12 more
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On the rank of the Doob graph and its complement
Kuwait Journal of Science, 2018 We compute the rank of the circulant Doob graph defined in Doob (2002). We also compute the rank and the determinant of its complement graph.
Ilhan Hacioglu, Kerem Kaskaloglu
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AKCE International Journal of Graphs and Combinatorics, 2018 A graph G = ( V , E ) , where | V | = n and | E | = m is said to be a distance magic graph if there exists a bijection from the vertex set V to the set { 1 , 2 , … , n } such that, ∑ v ∈ N ( u ) f ( v ) = k , for all u ∈ V , which is a constant and ...
Aloysius Godinho, T. Singh
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