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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.
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In this article, we provide a comprehensive introduction to knowledge graphs, which have recently garnered significant attention from both industry and academia in scenarios that require exploiting diverse, dynamic, large-scale collections of data.
Aidan Hogan+17 more
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THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING
Suppose is a simple and connected graph with edges. A harmonious labeling on a graph is an injective function so that there exists a bijective function where for each An odd harmonious labeling on a graph is an injective function from to non ...
Ahmad Lasim+2 more
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Interaction graphs: Graphings [PDF]
In two previous papers, we exposed a combinatorial approach to the program of Geometry of Interaction, a program initiated by Jean-Yves Girard. The strength of our approach lies in the fact that we interpret proofs by simpler structures - graphs - than Girard's constructions, while generalizing the latter since they can be recovered as special cases of
Thomas Seiller, Thomas Seiller
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On minimal blocking sets of the generalized quadrangle $Q(4, q)$ [PDF]
The generalized quadrangle $Q(4,q)$ arising from the parabolic quadric in $PG(4,q)$ always has an ovoid. It is not known whether a minimal blocking set of size smaller than $q^2 + q$ (which is not an ovoid) exists in $Q(4,q)$, $q$ odd. We present results
Miroslava Cimráková, Veerle Fack
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Graphs Cospectral with Kneser Graphs [PDF]
AMS Subject Classification ...
Haemers, W.H., Ramezani, F.
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COVID-19 mortality in women and men in sub-Saharan Africa: a cross-sectional study
Introduction Since sex-based biological and gender factors influence COVID-19 mortality, we wanted to investigate the difference in mortality rates between women and men in sub-Saharan Africa (SSA).Method We included 69 580 cases of COVID-19, stratified ...
Claire Somerville+15 more
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We propose a definition of graph subshifts of finite type that can be seen as extending both the notions of subshifts of finite type from classical symbolic dynamics and finitely presented groups from combinatorial group theory. These are sets of graphs that are defined by forbidding finitely many local patterns. In this paper, we focus on the question
Arrighi, Pablo+2 more
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Hadamard matrices of order 36 and double-even self-dual [72,36,12] codes [PDF]
Before this work, at least 762 inequivalent Hadamard matrices of order 36 were known. We found 7238 Hadamard matrices of order 36 and 522 inequivalent [72,36,12] double-even self-dual codes which are obtained from all 2-(35,17,8) designs with an ...
Iliya Bouyukliev+2 more
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String graphs and incomparability graphs [PDF]
Given a collection C of curves in the plane, its string graph is defined as the graph with vertex set C, in which two curves in C are adjacent if and only if they intersect. Given a partially ordered set (P,
Fox, Jacob, Pach, János
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