L-CONVEXITY ON GRAPH STRUCTURES

Convexity bounds for L-functions

We prove a sharp convexity bound for L-functions, at the centre of the critical strip, under conditions weaker than those for the Selberg Class. 2000 Mathematics Subject Classification: Primary 11M41

On Generalised Fuzzy Graph Structures

In this paper, the concept of a fuzzy graph structure is introduced based on the concept of graph structure given by E. Sampathkumar, in Bull. Kerala Math. Assoc., Vol 3, No.2 (2006 December), 65123. New concepts like ρi − edge, ρi − path, ρi − cycle, ρi − tree, ρi − forest, fuzzy ρi − cycle, fuzzy ρi − tree, fuzzy ρi − forest etc. are introduced. Some results are obtained. We continue the stud...

Graph Convexity Parameters: Complexity and Applications

On Order-convexity Of Syntopogenous Structures (X,S,≤ )

In this paper, fuzzy syntopogenous spaces is introduced. First, the *-increasing and *-decreasing spaces have been studied. Second,order-convexity on syntopogenous structures (X,S,≤ ) has been defined. Third, the equivalent description of orderconvexity has been given. Finally, some important properties of order-convexity have been obtained.

MATHEMATICAL ENGINEERING TECHNICAL REPORTS Note on Multimodularity and L-Convexity

Multimodular functions and L-convex functions have been investigated almost independently, but they are, in fact, equivalent objects that can be related through a simple coordinate transformation. Some facts known for L-convex functions can be translated to new results for multimodular functions, and vice versa. In particular, the local optimality condition for global optimality found in the li...