activity
20092017
most citedComplexity of Bondage and Reinforcement

6 citations · 31 across the 37 of their papers we have counts for

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Showing math.COShow all

36 papers · 1 filter

math.CO2017

On conditional fault tolerance of hierarchical cubic networks

Xiang-Jun Li, Min Liu, Zheng Yan +1

This paper considers the conditional fault tolerance, -super connectivity and -super edge-connectivity of the hierarchical cubic network , an attractiv…

math.CO2017★ 1 cited

Graham's pebbling conjecture on Cartesian product of the middle graphs of even cycles

Zheng-Jiang Xia, Yong-Liang Pan, Jun-Ming Xu +1

A pebbling move on a graph consists of taking two pebbles off one vertex and placing one on an adjacent vertex. The pebbling number of a graph , denoted by , is the le…

math.CO2017

Equal relation between the extra connectivity and pessimistic diagnosability for some regular graphs

Mei-Mei Gu, Rong-Xia Hao, Jun-Ming Xu +1

Extra connectivity and the pessimistic diagnosis are two crucial subjects for a multiprocessor system's ability to tolerate and diagnose faulty processor. The pessimistic diagnosis…

math.CO2017

On Seymour's Second Neighborhood Conjecture of m-free Digraphs

Hao Liang, Jun-Ming Xu

This paper gives an approximate result related to Seymour's Second Neighborhood conjecture, that is, for any -free digraph , there exists a vertex and a real numb…

math.CO2015

On restricted edge-connectivity of replacement product graphs

Zhen-Mu Hong, Jun-Ming Xu

This paper considers the edge-connectivity and restricted edge-connectivity of replacement product graphs, gives some bounds on edge-connectivity and restricted edge-connectivity o…

math.CO2015

Embedded connectivity of recursive networks

Xiang-Jun Li, Qi-Qi Dong, Zheng Yan +1

Let be an -dimensional recursive network. The -embedded connectivity (resp. edge-connectivity ) of is the minimum number of vertices (resp. e…