Results 61 to 70 of about 2,418,413 (302)
Maximum Reciprocal Degree Resistance Distance Index of Bicyclic Graphs
The reciprocal degree resistance distance index of a connected graph G is defined as RDRG=∑u,v⊆VGdGu+dGv/rGu,v, where rGu,v is the resistance distance between vertices u and v in G. Let ℬn denote the set of bicyclic graphs without common edges and with n
Gaixiang Cai, Xing-Xing Li, Guidong Yu
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Abstract In 1971, Graham and Pollak provided a formula for the determinant of the distance matrix of any tree on n vertices. Yan and Yeh reproved this by exploiting the fact that pendant vertices can be deleted from trees without changing the remaining entries of the distance matrix.
Joshua N. Cooper, Gabrielle Tauscheck
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This is a survey of distance-regular graphs. We present an introduction to distance-regular graphs for the reader who is unfamiliar with the subject, and then give an overview of some developments in the area of distance-regular graphs since the monograph 'BCN' [Brouwer, A.E., Cohen, A.M., Neumaier, A., Distance-Regular Graphs, Springer-Verlag, Berlin,
Edwin R. van Dam +2 more
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Distance in stratified graphs [PDF]
A stratified graph is an ordered pair \((G,S)\), where \(G\) is an undirected graph and \(S\) is a partition of its vertex set \(V(G)\) into classes called strata. For any stratum \(X\) the concepts analogous to the basic concepts concerning distance may be defined, namely \(X\)-eccentricity, \(X\)-radius, \(X\)-diameter, \(X\)-center, \(X\)-periphery.
Chartrand, Gary +3 more
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Cancer progression is regulated by the dynamic matrix code of the tumor microenvironment, which influences cellular behavior and disease development. Importantly, matrix remodeling in three‐dimensional cancer models more accurately reflects in vivo conditions compared to conventional two‐dimensional systems.
Sylvia Mangani +3 more
wiley +1 more source
Graph Pattern Matching: From Intractable to Polynomial Time [PDF]
Graph pattern matching is typically defined in terms of sub-graph isomorphism, which makes it an np-complete problem. Moreover, it requires bijective functions, which are often too restrictive to characterize patterns in emerging applications. We propose
Li, Jianzhong +5 more
core
A regular graph is a graph where each vertex has the same degree. A regular graph with vertices of degree k is called a k -regular graph or regular graph of degree k.
Đỗ Như An, Nguyễn Đình Ái
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Dormant cancer cells can hide in distant organs for years, evading treatment and the immune system. This review highlights how signals from the surrounding tissue and immune environment keep these cells inactive or trigger their reawakening. Understanding these mechanisms may help develop therapies to eliminate or control dormant cells and prevent ...
Kanishka Tiwary +1 more
wiley +1 more source
Towards a Maude tool for model checking temporal graph properties [PDF]
We present our prototypical tool for the verification of graph transformation systems. The major novelty of our tool is that it provides a model checker for temporal graph properties based on counterpart semantics for quantified m-calculi.
Lluch-Lafuente, Alberto +4 more
core +1 more source
On the distance spectra of graphs
20 pages, 3 figures v2.
Aalipour, Ghodratollah +10 more
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