Lower Bounds for Maximum Weight Bisections of Weighted Triangle‐Free Subcubic Graphs
ABSTRACT A bisection of a graph is a cut in which the number of vertices in the two parts of the cut differ by at most 1. In this paper, we consider maximum weight bisections of edge‐weighted triangle‐free subcubic graphs and show that every weighted triangle‐free subcubic graph G = ( V , E , w ) $G=(V,E,w)$ has a bisection with weight at least θ ⋅ w (
Stefanie Gerke +3 more
wiley +1 more source
A hybrid deep learning model for robust and efficient plant leaf disease detection using ResNet50, PCA, and SVM. [PDF]
Begum S, E N, N N S.
europepmc +1 more source
Weak Degeneracy of Planar Graphs
ABSTRACT The weak degeneracy of a graph G $G$ is a numerical parameter that was recently introduced by the first two authors with the aim of understanding the power of greedy algorithms for graph coloring. Every d $d$‐degenerate graph is weakly d $d$‐degenerate, but the converse is not true in general (e.g., all connected d $d$‐regular graphs except ...
Anton Bernshteyn +2 more
wiley +1 more source
High Contrast Markings Can Negate the Benefits of Transparent Camouflage. [PDF]
Yeager J +3 more
europepmc +1 more source
Linear Versus Centred Colouring via Pseudogrids
ABSTRACT A centred colouring of a graph is a vertex colouring in which every connected subgraph contains a vertex whose colour is unique and a linear colouring is a vertex colouring in which every (not‐necessarily induced) path contains a vertex whose colour is unique. For a graph G $G$, the centred chromatic number χ cen ( G ) ${\chi }_{\text{cen}}(G)$
Prosenjit Bose +4 more
wiley +1 more source
Basic Optics Underlying Current Intraocular Lenses. [PDF]
Son Y, Bang SP, Park CY.
europepmc +1 more source
ABSTRACT In an effort to understand the complexity of the maximum independent set problem, Chvátal introduced t‐perfect graphs. While a full characterization of this class remains open, important progress has been made for claw‐free graphs [Bruhn and Stein, Math. Program. 2012] and P 5 ${P}_{5}$‐free graphs [Bruhn and Fuchs, SIAM J. Discrete Math. 2017]
Yixin Cao, Shenghua Wang
wiley +1 more source
Chromatic-Invariant Photothermal Fabrics Enabled by Narrow-Bandgap Organic Semiconductors for Wearable Solar Energy Harvesting. [PDF]
Zhu J +6 more
europepmc +1 more source
Chromatic Ramsey Numbers and Two‐Color Turán Densities
ABSTRACT Given a graph G, its 2‐color Turán number ex ( 2 ) ( n , G ) is the maximum number of edges in an n‐vertex graph, such that the edges can be colored with two colors avoiding a monochromatic copy of G. Let π ( 2 ) ( G ) = lim n → ∞ ex ( 2 ) ( n , G ) / n 2 be the 2‐color Turán density of G.
Maria Axenovich, Simon Gaa, Dingyuan Liu
wiley +1 more source
Perceptual resolution of ambiguity: A divisive normalization account for both interocular color grouping and difference enhancement. [PDF]
Peiso JR, Palmer SE, Shevell SK.
europepmc +1 more source

