Many continuous functions have many proper local extrema

Insulators: many functions, many mechanisms.

Proper connection with many colors

In this work, we consider only edge-colorings of graphs. Since Vizing’s fundamental result [9], proper edge colorings of graphs, colorings such that no two adjacent edges have the same color, have become an essential topic for every beginning graph theorist. Proper edge colorings have many applications in signal transmission [7], bandwidth allocation [3] and many other areas [5, 6, 8]. See [1] ...

Many-to-Many Graph Matching: A Continuous Relaxation Approach

Graphs provide an efficient tool for object representation in various computer vision applications. Once graph-based representations are constructed, an important question is how to compare graphs. This problem is often formulated as a graph matching problem where one seeks a mapping between vertices of two graphs which optimally aligns their structure. In the classical formulation of graph mat...

Infinitely many solutions for a bi-nonlocal‎ ‎equation with sign-changing weight functions

In this paper, we investigate the existence of infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions. We use some natural constraints and the Ljusternik-Schnirelman critical point theory on C1-manifolds, to prove our main results.

Proteins that associate with lamins: many faces, many functions.

Lamin-associated polypeptides (LAPs) comprise inner nuclear membrane proteins tightly associated with the peripheral lamin scaffold as well as proteins forming stable complexes with lamins in the nucleoplasm. The involvement of LAPs in a wide range of human diseases may be linked to an equally bewildering range of their functions, including sterol reduction, histone modification, transcriptiona...