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Anubha Jindal

Publications and source records attributed to Anubha Jindal.

5 recordsLinked to original sources
arXiv2026

On the Eccentricity Laplacian and Eccentricity Signless Laplacian Matrices of a Graph

In this paper, we introduce the Laplacian and the signless Laplacian for the eccentricity matrix of a connected graph, referred to as the eccentricity Laplacian and the eccentricity signless Laplacian, respectively. We establish the equivalence among the eccentricity Laplacian, eccentricity signless Laplacian, and eccentricity spectrum for different classes of graphs. We provide spectral characterization of $\mathcal{E}$-bipartite graphs by the symmetry of $\mathcal{E}$-spectrum and the similarity of these Laplacian matrices.

math.CO↗
arXiv2025

Quasi-metric spaces on which real-valued continuous functions are uniformly continuous

The concept of a quasi-metric space arises by relaxing the requirement of the symmetry axiom in the definition of a metric. This small variation alters several structural properties possessed by a standard metric space. This article aims to investigate the notion of UC quasi-metric spaces in a systematic manner. A quasi-metric space (X, d) is called a UC space if every real-valued continuous function on (X, d) is uniformly continuous. In the context of metric spaces, UC spaces help in bridging the gap between compactness and completeness. These spaces also play an important role in the theory of hyperspaces of closed sets and fixed point theory. In this article, we present several characterizations of UC quasi-metric spaces and provide various examples of such spaces. At several instances, our proof techniques highlight key differences between UC quasi-metric spaces and their metric counterparts.

math.GN↗
arXiv2025

Left K-Cauchy regular maps between quasi-metric spaces

This article presents a systematic study of a class of maps between quasi-metric spaces that preserve left K-Cauchy sequences. We call such maps left K-Cauchy regular maps. Several characterizations of these maps have been given in terms of the structural properties of the underlying quasi-metric spaces. In particular, we characterize left K-Cauchy regular maps in terms of hereditarily precompact sets by using a suitable version of the classical Efremovic Lemma in the setting of quasi-metric spaces. In addition, we examine the relationship of left K-Cauchy regular maps with (forward) uniformly continuous and continuous maps and prove extension theorems for such maps.

math.GN↗
arXiv2016

The Bi-Compact-Open Topology on C(X)

For the set C(X) of real-valued continuous functions on a Tychonoff space X, the compact-open topology on C(X) is a "set-open topology". This paper studies the separation and countability properties of the space C(X) having the topology given by the join of the compact-open topology and an "open-set topology" called the open-point topology, that was introduced in [6].

math.GN↗