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Book Embeddings of Graph Products
A $k$-stack layout (also called a $k$-page book embedding) of a graph consists of a total order of the vertices, and a partition of the edges into $k$ sets of non-crossing edges with respect to the vertex order. The stack number (book thickness, page number) of a graph is the minimum $k$ such that it admits a $k$-stack layout.
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Nonlinear Dynamic Field Embedding: On Hyperspectral Scene Visualization [PDF]
In many areas of research, complex signals are commonly represented by high dimensional feature vectors. However, high dimensional vectors are difficult to analyze and interpret due to the curse of dimensionality.
Lunga, Dalton, Erosy, Okan
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Multitask feature learning approach for knowledge graph enhanced recommendations with RippleNet.
Introducing a knowledge graph into a recommender system as auxiliary information can effectively solve the sparse and cold start problems existing in traditional recommender systems. In recent years, many researchers have performed related work.
YueQun Wang +3 more
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When are the natural embeddings of classical invariant rings pure?
Consider a reductive linear algebraic group G acting linearly on a polynomial ring S over an infinite field; key examples are the general linear group, the symplectic group, the orthogonal group, and the special linear group, with the classical ...
Melvin Hochster +3 more
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Crossing-Optimal Acyclic HP-Completion for Outerplanar st-Digraphs
Given an embedded planar acyclic digraph G, we define the problem of acyclic hamiltonian path completion with crossing minimization (acyclic-HPCCM) to be the problem of determining a hamiltonian path completion set of edges such that, when these edges ...
Tamara Mchedlidze, Antonios Symvonis
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Upward Book Embeddings of st-Graphs
We study $k$-page upward book embeddings ($k$UBEs) of $st$-graphs, that is, book embeddings of single-source single-sink directed acyclic graphs on $k$ pages with the additional requirement that the vertices of the graph appear in a topological ordering along the spine of the book. We show that testing whether a graph admits a $k$UBE is NP-complete for
Binucci C. +5 more
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Reversible watermarking scheme with image-independent embedding capacity [PDF]
Permanent distortion is one of the main drawbacks of all the irreversible watermarking schemes. Attempts to recover the original signal after the signal passing the authentication process are being made starting just a few years ago. Some common problems,
C.-T. Li, Li, Chang-Tsun
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Book Embeddings and Point-Set Embeddings of Series-Parallel Digraphs [PDF]
An optimal O(n)-time algorithm to compute an upward two-page book embedding of a series-parallel digraph with n vertices is presented. A previous algorithm of Alzohairi and Rival [1] runs in O(n3) time and assumes that the input series-parallel digraph does not have transitive edges.
DI GIACOMO, Emilio +3 more
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Monotone Arc Diagrams with few Biarcs
We show that every planar graph has a monotone topological 2-page book embedding, also known as a monotone arc diagram, where at most $(4n-10)/5$ (of potentially $3n-6$) edges cross the spine, and every edge crosses the spine at most once; such an edge ...
Steven Chaplick +3 more
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On the Genus of the Idempotent Graph of a Finite Commutative Ring
Let R be a finite commutative ring with identity. The idempotent graph of R is the simple undirected graph I(R) with vertex set, the set of all nontrivial idempotents of R and two distinct vertices x and y are adjacent if and only if xy = 0.
Belsi G. Gold, Kavitha S., Selvakumar K.
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