nVenn2: faster, simpler generalized quasi-proportional Venn diagrams. [PDF]
Pis-Vigil S +3 more
europepmc +1 more source
On Odd Covers of Cliques and Disjoint Unions
ABSTRACT Babai and Frankl posed the “odd cover problem” of finding the minimum cardinality of a collection of complete bipartite graphs such that every edge of the complete graph of order n $n$ is covered an odd number of times. In a previous paper with O'Neill, some of the authors proved that this value is always ⌈ n / 2 ⌉ $\lceil n/2\rceil $ or ⌈ n /
Calum Buchanan +7 more
wiley +1 more source
Comparison of Different Methods for the Meta-Analysis of Diagnostic Test Accuracy Studies-A Simulation Study. [PDF]
Stoye FV +5 more
europepmc +1 more source
Explicit 3‐colorings for Exponential Graphs
ABSTRACT In 1985, El‐Zahar and Sauer showed that the chromatic number of the direct product of two 4‐chromatic graphs is 4, establishing a nontrivial case of Hedetniemi's conjecture, which has since been refuted in general. Their proof uses the concept of an exponential graph, showing that if a graph H $H$ has no proper 3‐coloring, then the exponential
Adrien Argento +2 more
wiley +1 more source
Delayed heart rate recovery and its variability in fitness functional training compared to endurance athletes: a cross-sectional analysis. [PDF]
Guimarães FER +4 more
europepmc +1 more source
Flexible List Coloring of Graphs With Maximum Average Degree Less Than 3
ABSTRACT In the flexible list coloring problem, we consider a graph G $G$ and a color list assignment L $L$ on G $G$, as well as a subset U ⊆ V ( G ) $U\subseteq V(G)$ for which each u ∈ U $u\in U$ has a preferred color p ( u ) ∈ L ( u ) $p(u)\in L(u)$. Our goal is to find a proper L $L$‐coloring ϕ $\phi $ of G $G$ such that ϕ ( u ) = p ( u ) $\phi (u)=
Richard Bi, Peter Bradshaw
wiley +1 more source
A new family of <i>q</i>-hypergeometric congruences from Andrews' multi-series transformation. [PDF]
Guo VJW, Schlosser MJ.
europepmc +1 more source
Sparse Graphs With Local Covering Conditions on Edges
ABSTRACT In 1988, Erdős suggested the question of minimizing the number of edges in a connected n $n$‐vertex graph where every edge is contained in a triangle. Shortly after, Catlin, Grossman, Hobbs, and Lai resolved this in a stronger form. In this paper, we study a natural generalization of the question of Erdős in which we replace “triangle” with ...
Debsoumya Chakraborti +3 more
wiley +1 more source
Noncyclic BCH and Srivastava codes over the subgroup of the groups of units of Galois rings [Formula: see text] for advanced error control. [PDF]
Sajjad M +4 more
europepmc +1 more source
Path Degeneracy and Applications
ABSTRACT In this work, we relate girth and path‐degeneracy in classes with sub‐exponential expansion, with explicit bounds for classes with polynomial expansion and proper minor‐closed classes that are tight up to a constant factor (and tight up to second order terms if a classical conjecture on existence of g $g$‐cages is verified). As an application,
Yuquan Lin, Patrice Ossona de Mendez
wiley +1 more source

