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20 papers · 2 filters
Colorful monochromatic connectivity of random graphs
Ran Gu, Xueliang Li, Zhongmei Qin
An edge-coloring of a connected graph is called a {\it monochromatic connection coloring} (MC-coloring, for short), introduced by Caro and Yuster, if there is a monochromatic p…
The matching energy of random graphs
Xiaolin Chen, Xueliang Li, Huishu Lian
The matching energy of a graph was introduced by Gutman and Wagner, which is defined as the sum of the absolute values of the roots of the matching polynomial of the graph. For the…
-Regular mixed graphs with optimum Hermitian energy
Xiaolin Chen, Xueliang Li, Yingying Zhang
Let be a simple undirected graph, and be a mixed graph of with the generalized orientation and Hermitian-adjacency matrix . Then is called the underly…
The Method of Multiple Combinatorial Telescoping
Daniel K. Du, Qing-Hu Hou, Charles B. Mei
We generalize the method of combinatorial telescoping to the case of multiple summations. We shall demonstrate this idea by giving combinatorial proofs for two identities of Andrew…
On graphs with maximum Harary spectral radius
Fei Huang, Xueliang Li, Shujing Wang
Let be a simple graph with vertex set . The Harary matrix of , which is initially called the reciprocal distance matrix, is an $n \…
Matching Energy of Unicyclic and Bicyclic Graphs with a Given Diameter
Lin Chen, Jinfeng Liu, Yongtang Shi
Gutman and Wagner proposed the concept of matching energy (ME) and pointed out that the chemical applications of ME go back to the 1970s. Let be a simple graph of order and…